Case 1:06-cv-00738-SLR
Document 206
Filed 06/11/2008
Page 1 of 5
IN THE UNITED STATES DISTRICT COURT FOR THE DISTRICT OF DELAWARE POLAROID CORPORATION, Plaintiff and Counterclaim Defendant, C.A. N~ 06-738-SLR
v.
HEWLETT-PACKARD COMPANY, Defendant and Counterclaim Plaintiff.
1
I
.
PUBLIC
DECLARATION OF DR. RANGARAJ RANGAYYAN IN SUPPORT OF DEFENDANT HEWLETT-PACKARD COMPANY'S OPPOSITION TO PLAINTIFF POLAROID CORPORATION'S MOTION FOR SUMMARY JUDGMENT THAT CLAIMS 1-3 OF U.S. PATENT NO. 4,829,381 ARE: NOT OBVIOUS
I, Dr. Rangaraj Rangayyan, declare as follows: 1. On March 14, 2008, I submitted an initial expert report in this action titled,
"Expert Report of Dr. Rangaraj Rangayyan." Attached as Exhibit A is a true and correct copy of that report. 2. Prior to my deposition on May 9, 2008, I submitted an errata sheet titled, "Errata
to Expert Report of Dr. Rangaraj Rangayyan." Attached as Exhibit B is a true and correct copy of that errata sheet.
3.
With the corrections stated in the errata sheet under Exhibit B, the facts and
opinions set forth in my March 14,2008 report are true and correct to the best of my knowledge. 4. On April 18, 2008,I submitted a supplemental expert report in this action titled,
"Supplemental Expert Report of Dr. Rangaraj Rangayyan." Attached as Exhibit C is a true and correct copy of that report.
5.
The facts and opinions set forth in my April 18, 2008 supplemental report are true
and correct to the best of my knowledge,
Case 1:06-cv-00738-SLR
Document 206
Filed 06/11/2008
Page 2 of 5
6.
The full title of the Richard patent is " Contrast Amplifier for Video Images."
Richard patent, p. 1. As I discuss in my expert reports, Richard discloses particular techniques and circuitry for performing contrast enhancement in an image. See Rangayyan Report ¶¶ 101109. Richard discloses a means of contrast enhancement that is locally adaptive, that is, the amount of contrast enhancement applied to a particular pixel changes based on the brightness of pixels in an area around the pixel being enhanced. See id. Thus, the " primary purpose" of the Richard reference is contrast enhancement of images, and it is exactly the type of reference a person of ordinary skill in the art would look to and learn from when developing a locally adaptive contrast enhancement scheme such as that disclosed in the '381 patent. 7. A person of ordinary skill in the art, as I use that term in my expert reports,
would have looked to the Gonzalez Algorithm for disclosures related to contrast enhancement. Some of the reasons that such a person would have looked to the Gonzalez Algorithm are: (1) the Gonzalez Algorithm was part of the Gonzalez text, one of the few premier authorities on image processing, including contrast enhancement, during the relevant time period; (2) a person of ordinary skill in the art would have been directed by the Gonzalez text itself to understand the Gonzalez Algorithm because the text instructs readers to utilize the algorithm to output images; (3) a person or ordinary skill in the art, upon examining the Gonzalez Algorithm, would have understood it to contain a contrast enhancement scheme. For at least these reasons, a person of ordinary skill in the art would have considered the Gonzalez Algorithm as a disclosure of contrast enhancement techniques. 8. A person of ordinary skill in the art would look to the component disclosures of
prior art and appreciate their usefulness in combination with components taught elsewhere.
4339412v1
4339412v1
Case 1:06-cv-00738-SLR
Document 206
Filed 06/11/2008
Page 3 of 5
9.
A person of ordinary skill in the art, would understand that the various elements
disclosed by a reference such as the mathematical algorithms utilized in a contrast enhancement method - could be combined with elements from other references to perform contrast enhancement functions with specific characteristics. 10. A person of ordinary skill in the art would understand the implications of
particular mathematical expressions used in contrast enhancement algorithms and be able to predict the effect that use of those expressions, alone or in combination with other mathematical expressions, would have on a contrast enhancement algorithm. 11. For the reasons explained in my expert reports and further detailed above, a
person of ordinary skill in the art, when examining the algorithms disclosed in the Richard patent and Gonzalez Algorithm would have had a reasonable expectation that the concepts and mathematical expressions of the two could be combined in a contrast enhancement scheme such as that disclosed in the '381 patent. 12. A person of ordinary skill in the art would appreciate the effect of different
mathematical operations and expressions on a contrast enhancement algorithm such as the use of exponential expressions (or " power-law" functions). A person of ordinary skill would be adept at modifying algebraic functions and predicting the effects of such modifications on the resulting contrast enhancement algorithm. As a result, it would be both trivial and expected that someone of ordinary skill in the art would modify linear contrast enhancement functions to use exponential (or " power-law" ) expressions. The Gonzalez Algorithm itself provides four options for transfer functions, including linear and non-linear functions.
4339412v1
4339412v1
Case 1:06-cv-00738-SLR
Document 206
Filed 06/11/2008
Page 4 of 5
13.
As I stated in my report, the Lee reference itself discloses several non-linear
functions and would demonstrate to a person of ordinary skill in the art that transfer functions are easily modified to be either linear or non-linear. 14. I understand that Polaroid contends that my article, the " Rangayyan Reference"
" teaches away" from the '381 patent because, Polaroid alleges, the " goal" of my article is to make dark pixels darker and light pixels lighter. See Polaroid's Motion, p. 37. This is incorrect. The " goal" of my article is to discuss adaptive contrast enhancement. That is, a contrast enhancement scheme in which pixels are modified differently across an image based on the brightness of the surrounding pixels adjacent to the pixel being processed. In my opinion, the " goal" of my article is similar to that of the disclosed algorithms in the '381 patent which likewise describe an adaptive contrast scheme. 15. Because my article is not only directed to digital contrast enhancement
algorithms, but specifically to the locally-adaptive variety claimed in the '381 patent, it in no way " teaches away" from claims 1-3 of the '381 patent. 16. algorithms. 17. The Chen patent teaches both contrast enhancement and a method for zooming My article discloses the use of power-law functions in contrast enhancement
into digital images. It is clear from the face of the reference that the fractal modeling portion of Chen is directed to only the zooming aspects of its disclosure. See, e.g., col. 8, line 20 col. 9, line 21. 18. A person of ordinary skill in the art would have examined the Chen patent and
Gonzalez Algorithm and understood that both could contribute components to a contrast enhancement algorithm such as that disclosed in the '381 patent.
4339412v1
4339412v1
Case 1:06-cv-00738-SLR
Document 206
Filed 06/11/2008
Page 5 of 5
19.
The fact that the Narendra reference includes teachings with respect to a recursive
implementation of its algorithms would not have prevented a person of ordinary skill in the art from appreciating the applicability of its teachings to adaptive contrast enhancement algorithms generally including non-recursive contrast enhancement algorithms as described in the Narendra reference itself. 20. Thus, both the Narendra reference and the Gonzalez Algorithm are directed at
image processing generally and specifically at contrast enhancement. 21. For the reasons discussed above, and in my expert reports, a person of ordinary
skill in the art would understand that components of two references such as the Gonzalez Algorithm and Narendra could be combined to develop contrast enhancement algorithms different from those disclosed in either reference. 22. I declare under penalty of perjury that the foregoing is true and correct.
Dr. Rangaraj Rangayyan
Date: June 5, 2008
4339412v1
4339412v1
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 1 of 74
Exhibit A
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 2 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 3 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 4 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 5 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 6 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 7 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 8 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 9 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 10 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 11 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 12 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 13 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 14 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 15 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 16 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 17 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 18 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 19 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 20 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 21 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 22 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 23 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 24 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 25 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 26 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 27 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 28 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 29 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 30 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 31 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 32 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 33 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 34 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 35 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 36 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 37 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 38 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 39 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 40 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 41 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 42 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 43 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 44 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 45 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 46 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 47 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 48 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 49 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 50 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 51 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 52 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 53 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 54 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 55 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 56 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 57 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 58 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 59 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 60 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 61 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 62 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 63 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 64 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 65 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 66 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 67 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 68 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 69 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 70 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 71 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 72 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 73 of 74
Case 1:06-cv-00738-SLR
Document 206-2
Filed 06/11/2008
Page 74 of 74
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 1 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 2 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 3 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 4 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 5 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 6 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 7 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 8 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 9 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 10 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 11 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 12 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 13 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 14 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 15 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 16 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 17 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 18 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 19 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 20 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 21 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 22 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 23 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 24 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 25 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 26 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 27 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 28 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 29 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 30 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 31 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 32 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 33 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 34 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 35 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 36 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 37 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 38 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 39 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 40 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 41 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 42 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 43 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 44 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 45 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 46 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 47 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 48 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 49 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 50 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 51 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 52 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 53 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 54 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 55 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 56 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 57 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 58 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 59 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 60 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 61 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 62 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 63 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 64 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 65 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 66 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 67 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 68 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 69 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 70 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 71 of 72
Case 1:06-cv-00738-SLR
Document 206-3
Filed 06/11/2008
Page 72 of 72
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 1 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 2 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 3 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 4 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 5 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 6 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 7 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 8 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 9 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 10 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 11 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 12 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 13 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 14 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 15 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 16 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 17 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 18 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 19 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 20 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 21 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 22 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 23 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 24 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 25 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 26 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 27 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 28 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 29 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 30 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 31 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 32 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 33 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 34 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 35 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 36 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 37 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 38 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 39 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 40 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 41 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 42 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 43 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 44 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 45 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 46 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 47 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 48 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 49 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 50 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 51 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 52 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 53 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 54 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 55 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 56 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 57 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 58 of 59
Case 1:06-cv-00738-SLR
Document 206-4
Filed 06/11/2008
Page 59 of 59
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 1 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 2 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 3 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 4 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 5 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 6 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 7 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 8 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 9 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 10 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 11 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 12 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 13 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 14 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 15 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 16 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 17 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 18 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 19 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 20 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 21 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 22 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 23 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 24 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 25 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 26 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 27 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 28 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 29 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 30 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 31 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 32 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 33 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 34 of 35
Case 1:06-cv-00738-SLR
Document 206-5
Filed 06/11/2008
Page 35 of 35
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 1 of 6
Exhibit B
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 2 of 6
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 3 of 6
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 4 of 6
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 5 of 6
Case 1:06-cv-00738-SLR
Document 206-6
Filed 06/11/2008
Page 6 of 6
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 1 of 72
Exhibit C
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 2 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 3 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 4 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 5 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 6 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 7 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 8 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 9 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 10 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 11 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 12 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 13 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 14 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 15 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 16 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 17 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 18 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 19 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 20 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 21 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 22 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 23 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 24 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 25 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 26 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 27 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 28 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 29 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 30 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 31 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 32 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 33 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 34 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 35 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 36 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 37 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 38 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 39 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 40 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 41 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 42 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 43 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 44 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 45 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 46 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 47 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 48 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 49 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 50 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 51 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 52 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 53 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 54 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 55 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 56 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 57 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 58 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 59 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 60 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 61 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 62 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 63 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 64 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 65 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 66 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 67 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 68 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 69 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 70 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 71 of 72
Case 1:06-cv-00738-SLR
Document 206-7
Filed 06/11/2008
Page 72 of 72