`
`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`
`MICROSOFT CORPORATION
`
`Petitioner
`
`v.
`
`BRADIUM TECHNOLOGIES LLC
`
`Patent Owner
`
`CASE IPR2015-01432
`Patent No. 7,139,794
`
`DECLARATION OF CHANDRAJIT
`BAJAJ IN SUPPORT OF RESPONSE
`PURSUANT TO
`37 C.F.R. § 42.120
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`TABLE OF CONTENTS
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`Page
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`I.
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`INTRODUCTION .................................................................................................. 1
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`A. Background and Qualifications ....................................................................... 2
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`B. Materials Considered ....................................................................................... 5
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`C. Person of Ordinary Skill in the Art (“POSITA”) ............................................ 7
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`D. Claim Construction .......................................................................................... 8
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`II. Summary of opinions .............................................................................................. 9
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`III. Legal .....................................................................................................................11
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`IV. Background on the State of the Art ......................................................................13
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`A. Compression and Dynamic Display of Image Data in a Networked
`Environment ..................................................................................................13
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`B. Composite Image Rendering (2D Image Display, in the Context of
`the References Rutledge and Ligtenberg) .....................................................14
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`C. Polygon-Based Rendering (3D Scene Display, in the Context of the
`Cooper Reference) .........................................................................................16
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`D. An Example of a Rendering Pipeline for 3D Display of Images ..................19
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`V. The Prior Art on which the Instituted Grounds Rely ...........................................23
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`A. Rutledge .........................................................................................................23
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`B. Ligtenberg ......................................................................................................24
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`C. Cooper ............................................................................................................25
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`D. Migdal ............................................................................................................29
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`VI. A POSITA WOULD NOT HAVE COMBINED COOPER WITH
`LIGTENBERG OR RUTLEDGE ....................................................................32
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`i
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`A. A POSITA Would Not Apply the Prioritization of 3D Polygonal
`Objects of Cooper to the 2D Image-Based Systems of Ligtenberg /
`Rutledge .........................................................................................................32
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`B. A POSITA Would Further Understand That Applying the
`Prioritization Algorithm of Cooper to Ligtenberg / Rutledge Would
`Not Yield a Useful Result ..............................................................................34
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`C. A POSITA Would Understand that Cooper Assumes Frame
`Coherence, But This Assumption Does Not Hold for Rutledge /
`Ligtenberg ......................................................................................................44
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`VII. A POSITA WOULD NOT HAVE COMBINED MIGDAL WITH
`RUTLEDGE OR LIGTENBERG ....................................................................45
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`VIII. A POSITA WOULD NOT HAVE COMBINED COOPER WITH
`MIGDAL ..........................................................................................................49
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`A. The High Computational and I/O Requirements of Migdal Would
`Have Been Understood to Be Incompatible with the limited
`Computational and I/O Bandwidth of Cooper ..............................................49
`
`B. The Inefficient Memory Usage of Cooper Would Have Been
`Understood to be Incompatible with the Goal of Efficient Memory
`Usage Described By Migdal ..........................................................................51
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`IX. CLAIM 1 WOULD NOT HAVE BEEN OBVIOUS IN VIEW OF THE
`COMBINATION OF COOPER WITH RUTLEDGE AND
`LIGTENBERG ................................................................................................. 52
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`A. A POSITA Would Not have Combined These References ...........................52
`
`B. The Combination of Cooper with Rutledge and Ligtenberg Does
`Not Teach or Suggest a Parcel Request Queue in Which Image
`Parcel Requests Are Placed According to a Priority Order ..........................52
`
`C. The Combination of Cooper with Rutledge and Ligtenberg Does
`Not Teach or Suggest a Parcel Rendering Subsystem that
`Determines an Assigned Priority Based on the Predetermined
`Resolution of an Image Display ....................................................................55
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`X. CLAIM 2 WOULD NOT HAVE BEEN OBVIOUS IN VIEW OF THE
`COMBINATION OF COOPER WITH RUTLEDGE, LIGTENBERG
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`
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`ii
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`AND MIGDAL ................................................................................................. 57
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`A. A POSITA Would Not Have Combined These References ..........................58
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`B. The Combination of Cooper with Rutledge, Ligtenberg, and Migdal
`Does Not Teach or Suggest Requesting Image Parcels in Priority
`Order ..............................................................................................................58
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`C. The Combination of Cooper with Rutledge, Ligtenberg, and Migdal
`Does Not Teach or Suggest a Priority Order for Image Parcels that
`Is Determined to Provide a Progressive Regional Resolution
`Enhancement ................................................................................................. 60
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`D. The Combination of Cooper with Rutledge, Ligtenberg, and Migdal
`Does Not Teach or Suggest Limiting Selective Rendering of Image
`Parcels to Those Having Less Than a Resolution of a Predetermined
`Level ..............................................................................................................63
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`XI. Concluding Statement ...........................................................................................66
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`iii
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`LIST OF APPENDICES
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`APPENDIX A
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`Dr. Chandrajit Bajaj Curriculum Vitae
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`APPENDIX B
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`IEEE/SIGGRAPH Symposium Publication
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`APPENDIX C
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`’794 Patent Claims
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`APPENDIX D
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`List of Claim Elements as Asserted by Petitioner
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`iv
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`I.
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`INTRODUCTION
`1.(cid:3)
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`I have been retained by counsel for Bradium Technologies LLC
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`(“Bradium” or “Patent Owner”) as an expert consultant in regards to inter partes
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`review proceeding IPR2015-01432 for U.S. Patent No. 7,139,794, which I
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`understand is owned by Bradium.
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`2.(cid:3)
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`In IPR2015-01432, I understand that Petitioner, Microsoft
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`Corporation (“Microsoft” or “Petitioner”) is challenging the validity of Claims 1
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`and 2 of the ’794 Patent.
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`3.(cid:3)
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`I understand that the Board instituted an inter partes review on the
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`following Grounds:
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`We institute inter partes review on the following challenges to
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`patentability:
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`Claim 1 as obvious under 35 U.S.C. § 103(a) over the
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`combination of Rutledge, Ligtenberg, and Cooper; and
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`Claim 2 as obvious under 35 U.S.C. § 103(a) over the
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`combination of Rutledge, Ligtenberg, Cooper, and Migdal.
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`(Paper 15 (Institution Decision) at p. 31.)
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`4.(cid:3)
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`I was asked to consider whether the challenged claims of the U.S.
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`Patent No. 7,139,794 (“the ’794 Patent”) (Ex. 1001), which are Claims 1 and 2,
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`would have been obvious to a person of ordinary skill in the art (“POSITA”) as of
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`the date of the invention.
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`5.(cid:3)
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`Based on my analysis of the ’794 Patent and my understanding of the
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`state of the relevant prior art as well as the specific references relied upon by the
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`Petitioner for the grounds that were instituted by the Board, it is my opinion that
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`the challenged claims would not have been obvious to a POSITA as of the date of
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`the invention. (See infra ¶ 18.)
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`A.
`6.(cid:3)
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`Background and Qualifications
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`I am currently employed as a Professor of Computer Science at the
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`University of Texas at Austin (“UT Austin”). I have a Bachelor of Technology
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`degree in Electrical Engineering, which I obtained from the Indian Institute of
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`Technology in Delhi in 1980. I also have a Master of Science degree and a
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`Doctorate in Computer Science from Cornell University in 1983 and 1984,
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`respectively. I currently hold the Computational Applied Mathematics endowed
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`Chair in Visualization. I am also the Director of the Computational Visualization
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`Center at UT Austin, which has been funded by the National Institutes of Health,
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`the National Science Foundation, the Department of Energy, and the Department
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`of Defense. The center personnel include fifteen researchers, scientists, post-
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`graduate students, and staff.
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`7.(cid:3)
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`Prior to my employment at UT Austin, I was an assistant professor,
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`then associate professor, and finally professor of Computer Sciences at Purdue
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`University from 1984 until 1997. During this time, I was also the Director of
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`Image Analysis and Visualization Center at Purdue University. I was a visiting
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`associate professor of Computer Science at Cornell University from 1990 to 1991.
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`8.(cid:3)
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`I have spent the better part of my career, both at Purdue and UT
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`Austin, researching, designing, teaching, and using computer systems to model,
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`simulate, and visualize natural and synthetic objects. I am knowledgeable about
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`and have much experience in both the hardware and software, including algorithms,
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`used for capturing and displaying interactive imagery.
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`9.(cid:3)
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`In the 1970s, while majoring in Electrical Engineering at Indian
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`Institute of Technology with a minor in Computer Sciences, I was intimately
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`involved in the design and fabrication of microprocessor-controlled circuits
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`including the development of microprocessor controller software. In the 1980s,
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`while at Cornell University, these past experiences led to research in computational
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`geometry and optimization as well as the development of motion-planning
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`software. In the early 1990s, I created 3D collaborative multimedia environments
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`which were fully navigable for multi-person computer gaming and simulation. In
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`1993, I authored a technical paper for the Computer Sciences Department of
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`Purdue University entitled “Collaborative Multimedia Game Environments.” The
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`need for increasing computer graphics realism without sacrificing interactivity led
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`me also to explore texture mapping with data compression.
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`10.(cid:3) As I explain further below, (see infra ¶ 19), based on my experience
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`from the 1990s, among other things, the invention reflected in the ’794 Patent is
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`innovative. It is my opinion that the challenged claims (Claims 1 and 2) would not
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`have been obvious to one of ordinary skill in the art at the time of the invention.
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`11.(cid:3)
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`In the mid-2000s, I began to create spatially-realistic 3D graphical
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`environments of nature’s molecules and cells with a combination of acquired and
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`reconstructed imagery within which a user may explore, query, and learn. Over
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`the course of my career, I have participated in the design and use of several
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`computer systems spanning handhelds, laptops, graphics workstations to PC/Linux
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`clusters as well as very large memory supercomputers for capturing, modeling and
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`displaying virtual and scientific phenomena. My experience with computer
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`modeling and displaying computer graphics imagery encompasses many fields,
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`such as interactive games, molecular, biomedical and industrial diagnostics, oil and
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`gas exploration, geology, cosmology, and military industries. During this time at
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`UT Austin, I also developed hardware and software technology that allowed
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`multiple computers with multiple programmable graphics cards (GPUs) to
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`simultaneously and synchronously display to large multi-screen immersive
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`displays. We called this the UT Meta-Buffer solution. Much of my work involves
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`issues relating to interactive computer graphics and computer multimedia,
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`including retrieval of texture image data for use in rendering applications in
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`computer graphics. Examples of my publications, including peer-reviewed
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`publications, are listed in my Curriculum Vitae (“CV”).
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`12.(cid:3) My CV is submitted herewith as Appendix A. As set forth in my CV,
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`I have authored approximately 150 peer-reviewed journal articles, 33 book
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`chapters (which were also peer reviewed), and 142 peer-reviewed conference
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`publications.
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`13.(cid:3)
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`I have written and edited four books, on topics ranging from graphics
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`and visualization techniques to algebraic geometry and its applications. I have
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`given 165 invited speaker keynote presentations. I am a Fellow of the American
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`Association for the Advancement of Science, a Fellow of the Institute of Electrical
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`and Electronics Engineers (IEEE), and also a Fellow of the Association of
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`Computing Machinery (also known as ACM), which is the world’s largest
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`education and scientific computing society. ACM Fellow is ACM’s most
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`prestigious member grade and recognizes the top 1% of ACM members for their
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`outstanding accomplishments in computing and information technology and/or
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`outstanding service to ACM and the larger computing community.
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`B. Materials Considered
`14.(cid:3) For time spent in connection with this case, I am being compensated
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`at my customary rate of $550/hour. My compensation is not dependent upon the
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`outcome of this petition or any issues involved in or related to the ’794 Patent,
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`and I have no other financial stake in this matter. I have no financial interest in, or
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`affiliation with, any of the real parties in interest or the patent owner.
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`15.(cid:3) The materials I considered include the ’794 Patent and the original
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`prosecution history for the ’794 Patent, the Petition from Microsoft for inter partes
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`review (Paper 2) (as far as it is relevant to the instituted grounds), the Michalson
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`Declaration in support of the Petition (Ex. 1008) (as far as it is relevant to the
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`instituted grounds), the Patent Trial and Appeal Board (“PTAB”) decision to
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`institute inter partes review in the ’432 IPR (Paper 15), and Bradium’s Preliminary
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`Response (Paper 12). I also considered the materials that I refer to and that I cite
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`in this declaration.
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`16.(cid:3)
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`I also considered the following:
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`a.(cid:3)
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`U.S. Patent Application Publication No.
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`5,682,441
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`(“Ligtenberg”) (Ex. 1004);
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`b.(cid:3)
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`U.S. Patent Application Publication No. 5,760,783 (“Migdal”)
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`(Ex. 1007);
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`c.(cid:3)
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`U.S. Patent Application Publication No. 6,118,456 (“Cooper”)
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`(Ex. 1006);
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`d.(cid:3)
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`U.S. Patent Application Publication No. 6,650,998
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`(“Rutledge”) (Ex. 1005).
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`17.(cid:3)
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`In addition, I have drawn on my experience and knowledge, as
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`discussed above and described more fully in my CV, in the areas of image
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`processing, interactive computer graphics, and dynamic visualization.
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`18.(cid:3) The ’794 Patent claims priority to six provisional applications: U.S.
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`Patent Application Nos. 60/258,488; 60/258,489; 60/258,465; 60/258,468;
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`60/258,466; and 60/258,467, each of which was filed on December 27, 2000. (See
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`Ex. 1009, Provisional Applications.) Counsel for Bradium has asked me to assume
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`that the date of invention for the ’794 Patent is October 1999. I understand that Dr.
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`Michalson considered as the date of invention the earliest invention date claimed
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`by the inventors during prosecution of the ’794 Patent, which is October 1999.
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`(See Ex. 1008, Michalson ¶ 4.) Therefore, my analysis of the state of the prior art
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`is also based on an invention date of October 1999.
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`19.(cid:3)
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`I note that the most recent of the prior art references cited in the two
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`grounds that were instituted by the Board is dated April 2, 1998, for Cooper
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`(Ex. 1006 page 1 (filing date)). Accordingly, the asserted prior art would not
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`change depending on whether October 1999 or December 27, 2000 is considered to
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`be the date of invention.
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`Person of Ordinary Skill in the Art (“POSITA”)
`C.
`20.(cid:3) The ’794 Patent relates to networked or internet based client-server
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`image distribution systems that support dynamic display of images especially in
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`scenarios of low-bandwidth networked communication. (See Ex. 1001, ’794 Pat.
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`1:23–30.)
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`21.(cid:3)
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`I understand
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`that
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`the factors considered
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`in determining
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`the
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`ordinary level of skill in the art include the level of education and experience of
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`persons working in the field, the types of problems encountered in the field, and
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`the sophistication of the technology.
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`22.(cid:3) Based on these factors, in my opinion, a person of ordinary skill in
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`the art relating to the technology of the ’794 Patent at the time of the invention
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`would have been a person with a four-year bachelor’s degree or equivalent in
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`Electrical Engineering, Computer Engineering, or Computer Science, as well as at
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`least two years of experience in image and graphics processing including
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`developing, designing, or programming client-server software for computer
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`networked environments.
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`23.(cid:3) The opinions I express herein are given from the point of view of
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`a person of ordinary skill in the art (“POSITA”), as described above, at the time
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`of the invention of the ’794 Patent. Even if I do not repeat this explicitly, this is
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`the perspective that I applied in my analysis and in this declaration, unless I
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`indicate otherwise.
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`D.
`24.(cid:3)
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`Claim Construction
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`I understand that the claims and specification of a patent must be read
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`and construed through the eyes of a person of ordinary skill in the art at the time of
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`the priority date of the claims.
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`25.(cid:3)
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`I further understand that the claim construction standard that applies
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`for the purposes of this proceeding is the broadest reasonable interpretation (BRI)
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`of the claim language, in light of the specification.
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`26.(cid:3)
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`In my analysis, except when I state otherwise, I have applied the
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`ordinary meaning of claim terms as they are used in the specification, under the
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`BRI standard.
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`27.(cid:3) The Board has construed “image parcel” to be an element of an image
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`array, with the image parcel being specified by the X and Y position in the image
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`array coordinates and an image set resolution index. I have applied the Board’s
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`definition in my analysis.
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`II.
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`SUMMARY OF OPINIONS
`28.(cid:3)
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`In this Section I present a summary of my opinions. The full
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`statement of my opinions and the bases for my opinions are contained in the
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`appropriate sections of my declaration. I give this summary, however, for the
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`convenience of the reader.
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`29.(cid:3) Based on my analysis of the ’794 Patent, my knowledge and
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`experience, any references cited in this declaration, as well as the specific
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`references relied upon by the Petitioner for the grounds that were instituted by the
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`Board, it is my opinion that the challenged claims would not have been obvious to
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`a POSITA as of the date of the invention, October 1999.
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`30.(cid:3)
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`It is my opinion that Claim 1 would not have been obvious to a
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`POSITA as of the date of the invention, under 35 U.S.C. § 103(a), based on the
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`combination of Rutledge, Ligtenberg, and Cooper.
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`31.(cid:3) As I explain in more detail below, a POSITA would not have
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`combined Rutledge, Ligtenberg, and Cooper. Rutledge and Ligtenberg address 2D
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`image-based digital graphics image synthesis, while Cooper uses 3D polygon-
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`based digital graphics image synthesis. As I explain in more detail below using an
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`example, in the context of these references, 2D pixel data and 3D polygonal data
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`are not only two separate types of graphics data used in rendering pipelines in
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`computer graphics, but also require fundamentally different assessment functions
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`to achieve any prescribed or predetermined display image resolutions.
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`32.(cid:3)
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`It is my opinion that Claim 2 would not have been obvious to a
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`POSITA as of the date of the invention, under 35 U.S.C. § 103(a), based on the
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`combination of Rutledge, Ligtenberg, Cooper, and Migdal.
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`33.(cid:3) A POSITA would not have combined Rutledge, Ligtenberg, Cooper,
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`and Migdal for the several reasons that a POSITA would not have combined
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`Rutledge, Ligtenberg, and Cooper, as summarized above and explained in more
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`detail below.
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`34.(cid:3) Additionally, a POSITA would not have applied Migdal to Rutledge
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`or Ligtenberg because the method of updating 2D texture images that is employed
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`by Migdal relies on incrementally updating various linear rows of pixel data, which
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`is counter to the 2D tile-based approach (which is based on grouping pixel data
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`into square tiles for efficiency) that is described by Rutledge or Ligtenberg.
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`35.(cid:3) Furthermore, as I explain in more detail below, a POSITA would also
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`not have combined Migdal with Cooper. Cooper describes a bandwidth- and
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`computationally-limited 3D display system. Combining it with the method
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`described in Migdal would be computationally intensive for arriving at a correct
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`mapping of Migdal’s 2D clipped images to Cooper’s display polygons, with the
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`goal to achieve any prescribed or predetermined display image resolution.
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`Additionally this combination would also use a high amount of network bandwidth
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`under a user’s navigational updates to the display viewpoint.
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`36.(cid:3)
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`I reserve the right to continue my analysis if asked to do so, including
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`in response to additional material that is presented to me.
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`III. LEGAL
`37.(cid:3) The understanding of obviousness and the factors that are considered
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`to determine the level of a POSITA that are provided in Paragraphs 25–28 of Dr.
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`Michalson’s declaration (Ex. 1008) is generally consistent with my understanding.
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`38.(cid:3) That is, regarding obviousness, I understand that a patent claim is
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`invalid if the differences between the claimed subject matter and the prior art
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`
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`reference are such that the claimed subject matter as a whole would have been
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`obvious at the time the invention was made to a person having ordinary skill in the
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`relevant art according to pre-AIA 35 U.S.C. § 103 effective before March 16, 2013.
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`Obviousness can be based on a single prior art reference or a combination of
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`references that either expressly or inherently disclose all limitations of the claimed
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`invention. In my obviousness analysis, I understand that inferences and creative
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`steps that a person of ordinary skill in the art would employ should be considered
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`as part of the obviousness analysis.
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`39.(cid:3) To determine the appropriate level of a person having ordinary skill in
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`the art, the following factors may be considered: (a) the types of problems
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`encountered by those working in the field and prior art solutions thereto; (b) the
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`sophistication of the technology in question, and the rapidity with which
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`innovations occur in the field; (c) the educational level of active workers in the
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`field; and (d) the educational level of the inventor.
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`40.(cid:3) However, my understanding of obviousness is further supplemented
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`by the following:
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`41.(cid:3)
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`It is necessary in an obviousness analysis to consider the scope and
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`content of the prior art as a whole. I understand that it is improper to rely upon
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`hindsight knowledge of the patent claims in question to pick and choose isolated
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`elements from the prior art and to combine them to yield the claimed invention. It
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`is likewise improper to pick and choose from any reference only so much of it as
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`will support a given position, to the exclusion of other parts of the reference that
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`are necessary to give a full appreciation of what the reference fairly teaches or
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`suggests to a POSITA.
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`IV. BACKGROUND ON THE STATE OF THE ART
`42.(cid:3) For context, I provide in this Section a brief background regarding the
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`state of the art of dynamic visualization of image data provided via a network, as
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`of the time of the invention.
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`43.(cid:3)
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`In this Section, I will make reference to a conference publication for
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`which I am one of the authors (along with two computer science students from the
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`University of Texas at Austin), Feature Based Volumetric Video Compression for
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`Interactive Playback, which I presented at the IEEE/SIGGRAPH Symposium on
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`Volume Visualization and Graphics in 2002. The article is attached as Appendix B.
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`A.
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`Compression and Dynamic Display of Image Data in a Networked
`Environment
`44.(cid:3) As of 1999, and even as of 2002 and later, dynamic display of image
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`data over a network to client systems was an active area of academic investigation.
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`(Appendix B at 90.) Several difficulties had been identified. First, available
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`network bandwidth was considered to be a bottleneck for dynamic display of
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`image data over a network. (Appendix B at 89.) While compression of image data
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`was one solution to limited bandwidth of networks, the computational load on the
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81)(cid:82)(cid:79)(cid:82)(cid:74)(cid:76)(cid:72)(cid:86)(cid:3)(cid:47)(cid:47)(cid:38)(cid:3)(cid:3)(cid:3)(cid:3)(cid:40)(cid:91)(cid:75)(cid:76)(cid:69)(cid:76)(cid:87)(cid:3)(cid:21)(cid:19)(cid:19)(cid:20)
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`receiving device (the client device) that was required to decompress image data
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`was understood to be a bottleneck to the dynamic display of image data. (Id.) This
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`was a second problem.
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`45.(cid:3) To solve this problem, researchers at the time developed increasingly
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`sophisticated decompression algorithms to enable dynamic display. (Id.) My
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`colleagues and I, for example, developed and applied a sophisticated wavelet-
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`based compression scheme to one aspect of the dynamic display of image data over
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`a network, specifically the display of three-dimensional isosurfaces and volumes.
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`Such compression schemes, however, were lossy, meaning that image data was
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`lost due to compression. (Id. at 94) Further, wavelet-based compression required
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`the client system to decode wavelet coefficients, which could be computationally
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`intensive. (Id.) Therefore, our compression scheme required that certain data be
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`truncated and not transmitted to the client. (Id. at 89.) Also, when the speed of
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`display of dynamic imaging data was insufficient, our solution, which was typical
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`at the time, was to reconstruct a lower-quality image. (Id. at 93.)
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`B.
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`Composite Image Rendering (2D Image Display, in the Context of
`the References Rutledge and Ligtenberg)
`46.(cid:3) One method of rendering graphics for display in a computer system
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`that was common as of 1999, and is still common today, is the display of two-
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`dimensional (or “2D”) images. Images are composed of pixels. In order to present
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`a seamless scene to the user, adjacent images are displayed immediately next to
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`(cid:37)(cid:85)(cid:68)(cid:71)(cid:76)(cid:88)(cid:80)(cid:3)(cid:55)(cid:72)(cid:70)(cid:75)(cid:81