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- Newsgroups: comp.sources.misc
- From: casey@gauss.llnl.gov (Casey Leedom)
- Subject: v38i105: lic - LLNL Line Integral Convolution, v1.2, Part02/10
- Message-ID: <1993Aug12.013754.13937@sparky.sterling.com>
- X-Md4-Signature: b6ad5468c8b8d4c9f0c5c12e2ca54eb4
- Sender: kent@sparky.sterling.com (Kent Landfield)
- Organization: Sterling Software
- Date: Thu, 12 Aug 1993 01:37:54 GMT
- Approved: kent@sparky.sterling.com
-
- Submitted-by: casey@gauss.llnl.gov (Casey Leedom)
- Posting-number: Volume 38, Issue 105
- Archive-name: lic/part02
- Environment: UNIX
-
- #! /bin/sh
- # This is a shell archive. Remove anything before this line, then feed it
- # into a shell via "sh file" or similar. To overwrite existing files,
- # type "sh file -c".
- # Contents: lic.1.2/MEMO lic.1.2/doc/siggraph93/paper.ps.C
- # Wrapped by kent@sparky on Wed Aug 11 19:38:02 1993
- PATH=/bin:/usr/bin:/usr/ucb:/usr/local/bin:/usr/lbin ; export PATH
- echo If this archive is complete, you will see the following message:
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- X Monday, May 17, 1993
- X
- XTo: Marliss Rash
- X
- XFrom: Leith (Casey) Leedom
- X
- XRegarding: Memo of understanding for release of ``LIC'' software
- X
- X
- XMarliss,
- X
- XThe Line Integral Convolution (LIC) software is a prototype
- Ximplementation of a new vector visualization algorithm that Brian
- XCabral and I have jointly developed. The algorithm is described in a
- Xpaper written by us in the upcoming 1993 SIGGRAPH conference:
- X``Imaging Vector Fields Using Line Integral Convolution.''
- X
- XThe SIGGRAPH conference is putting together a CD-ROM of conference
- Xpaper materials. SIGGRAPH would like to include source code whenever
- Xpossible in order that other researchers be able to duplicate results
- Xpresented in the papers. We would like to supply SIGGRAPH with our
- Xexperimental software since this will significantly enhance our
- Xability to work with other researchers in this area.
- X
- X
- X Yours sincerely,
- X
- X Leith (Casey) Leedom
- END_OF_FILE
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- X(e 8 is multiplied by a color image of the magnitude of) 342.51 84.67 T
- X(the vector \336eld.) 317.3 75.67 T
- X318.02 104.26 556.56 246.82 R
- X7 X
- XV
- X0.1 H
- X2 Z
- X14 X
- XN
- X0 0 612 792 C
- XFMENDPAGE
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- X1 9 Q
- X0 X
- X0 K
- X0.29 (Another method to add vector magnitude information is seen in) 63 403.43 P
- X-0.21 (\336gure 1) 54 393.43 P
- X-0.21 (1. The [\336xed normalization] \337uid dynamics \336eld of \336gure 8) 81.17 393.43 P
- X-0.06 (is multiplied by a color image of the vector magnitude. The advan-) 54 383.43 P
- X1.92 (tage of this approach over variable length LIC is that the \336ne) 54 373.43 P
- X1.29 (grained detail generated by \336xed length LIC is retained even in) 54 363.43 P
- X(low magnitude areas.) 54 353.43 T
- X-0.01 (The LIC algorithm can be used to process an image using a vec-) 63 340.64 P
- X-0.05 (tor \336eld generated from the image itself. In \336gure 12, a vector \336eld) 54 330.64 P
- X0.31 (is generated from the input image by low-pass \336ltering the image,) 54 320.64 P
- X0.49 (taking the gradient of the resulting image and rotating the vectors) 54 310.64 P
- X(by 90) 54 300.64 T
- X4 F
- X(\260) 74.22 300.64 T
- X1 F
- X(.) 77.82 300.64 T
- X0.87 (The LIC algorithm can also be used to post process images to) 63 287.86 P
- X0.98 (generate motion blur) 54 277.86 P
- X0.98 (. A rendering algorithm or paint system can) 130.36 277.86 P
- X0.01 (easily specify a pixel by pixel velocity \336eld for objects. By using a) 54 267.86 P
- X0.79 (biased triangle \336lter[10] and variable length LIC the input image) 54 257.86 P
- X-0.1 (can be motion blurred in the direction of apparent motion. This has) 54 247.86 P
- X0.84 (precisely the desired results for motion blurring as seen in \336gure) 54 237.86 P
- X(13.) 54 227.86 T
- X0 F
- X(4.4 THREE-DIMENSIONAL LIC) 317.29 732 T
- X1 F
- X2.47 (The LIC algorithm easily generalizes to higher dimensions.) 326.29 721.25 P
- X0.69 (Equations \0501\051, \0503\051 and \0505\051 trivially extend to three dimensions. In) 317.29 711.25 P
- X0.19 (the three-dimensional case, cell edges are replaced with cell faces.) 317.29 701.25 P
- X0.34 (Both the input vector \336eld and input texture must be three-dimen-) 317.29 691.25 P
- X1.81 (sional. The output of the three-dimensional LIC algorithm is a) 317.29 681.25 P
- X2.39 (three-dimensional image or scalar \336eld. This \336eld is rendered) 317.29 671.25 P
- X-0.06 (using volume rendering techniques such as those found in [21] and) 317.29 661.25 P
- X([6].) 317.29 651.25 T
- X1.48 (Figure 14 is a three-dimensional rendering of an electrostatic) 326.29 640.5 P
- X0.07 (\336eld with two point char) 317.29 630.5 P
- X0.07 (ges placed a \336xed distance apart from one) 405.79 630.5 P
- X0.57 (another) 317.29 620.5 P
- X0.57 (. In this volumetric rendering, the magnitude of the vector) 343.74 620.5 P
- X1.13 (\336eld is used to control the opacity transfer functions. Great ef) 317.29 610.5 P
- X1.13 (\336-) 549.3 610.5 P
- X0.33 (ciency gains can be achieved if the LIC algorithm exploits this by) 317.29 600.5 P
- X0.79 (avoiding rendering for vector \336eld cells whose magnitude is out-) 317.29 590.5 P
- X(side of the volume renderer) 317.29 580.5 T
- X(\325) 416.45 580.5 T
- X(s min/max threshold window) 418.95 580.5 T
- X(.) 522.97 580.5 T
- X0 F
- X(5. PERFORMANCE) 317.29 562.75 T
- X1 F
- X1.38 (There is a distinct performance and quality trade-of) 326.29 552 P
- X1.38 (f between) 520.72 552 P
- X0.36 (the DDA convolution algorithm and LIC. LIC is roughly an order) 317.29 542 P
- X0.21 (of magnitude slower than the DDA method. Both algorithms were) 317.29 532 P
- X2.03 (timed using cells processed per second \050CPS\051 as the \336gure of) 317.29 522 P
- X-0.22 (merit. The tests were run on an unloaded IBM 550 RISC 6000. The) 317.29 512 P
- X1.2 (DDA algorithm averages about 30,000 CPS while LIC averages) 317.29 502 P
- X(about 3,000 CPS.) 317.29 492 T
- X1.67 (The three-dimensional algorithm only mar) 326.29 481.26 P
- X1.67 (ginally degrades in) 485.56 481.26 P
- X0.42 (performance with the increase in dimensionality) 317.29 471.26 P
- X0.42 (, processing some) 492.29 471.26 P
- X3.51 (1,200 CPS. Since the algorithm remains one-dimensional in) 317.29 461.26 P
- X1.26 (nature, the cost per cell only increases by a factor of three as a) 317.29 451.26 P
- X-0.2 (function of dimension. Using the thresholding described above, the) 317.29 441.26 P
- X0.09 (performance of the three-dimensional LIC algorithm has exceeded) 317.29 431.26 P
- X(30,000 CPS.) 317.29 421.26 T
- X0 F
- X(6. FUTURE WORK) 317.29 403.51 T
- X1 F
- X1.73 (A number of research directions relating to LIC remain out-) 326.29 392.76 P
- X(standing.) 317.29 382.76 T
- X1.29 (Currently no methods exist for determining the accuracy of a) 326.29 372.01 P
- X1.31 (vector \336eld representation, such as those created by LIC or any) 317.29 362.01 P
- X-0.11 (other method. These accuracy metrics would necessarily be related) 317.29 352.01 P
- X54 413.93 293.98 738 C
- X54 413.93 293.98 738 R
- X7 X
- X0 K
- XV
- X54 413.93 293.98 440.93 R
- XV
- X5 8 Q
- X0 X
- X(Figur) 54 435.6 T
- X(e 12: A photograph \050top\051 of the Flavian Amphitheater is) 72.09 435.6 T
- X-0.14 (used to cr) 54 426.6 P
- X-0.14 (eate a vector \336eld. The \336eld is then used to image a) 92.29 426.6 P
- X(\322painted\323 version of the same photograph \050bottom\051) 54 417.6 T
- X7 F
- X(.) 256.43 417.6 T
- X54.72 446.18 293.26 737.28 R
- X7 X
- XV
- X0.1 H
- X2 Z
- X14 X
- XN
- X0 0 612 792 C
- X54 72 293.98 220.54 C
- X54 72 293.98 220.54 R
- X7 X
- X0 K
- XV
- X54 72 293.98 99 R
- XV
- X5 8 Q
- X0 X
- X(Figur) 54 93.67 T
- X(e 13: The original photo on the left shows no motion blur-) 72.09 93.67 T
- X(ring The photo on the right uses variable length LIC to motion) 54 84.67 T
- X(blur Boris Y) 54 75.67 T
- X(eltsin\325s waving ar) 93.71 75.67 T
- X(m, simulating a slower shutter) 159.61 75.67 T
- X54.72 104.26 293.26 219.82 R
- X7 X
- XV
- X0.1 H
- X2 Z
- X14 X
- XN
- X0 0 612 792 C
- X317.3 72 557.28 343.51 C
- X317.3 72 557.28 343.51 R
- X7 X
- X0 K
- XV
- X317.3 72 557.28 99 R
- XV
- X5 8 Q
- X0 X
- X(Figur) 317.3 93.67 T
- X(e 14: A thr) 335.4 93.67 T
- X(ee-dimensional 512) 374.19 93.67 T
- X5 6 Q
- X(3) 449.27 96.87 T
- X5 8 Q
- X( electr) 452.59 93.67 T
- X(ostatic \336eld is) 477.06 93.67 T
- X-0.1 (imaged by volumetrically ray tracing a thr) 317.3 84.67 P
- X-0.1 (ee-dimensional sca-) 479.2 84.67 P
- X(lar \336eld pr) 317.3 75.67 T
- X(oduced using LIC over white noise.) 355.2 75.67 T
- X318.02 104.26 556.56 342.79 R
- X7 X
- XV
- X0.1 H
- X2 Z
- X14 X
- XN
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- X%%EndPage: "7" 8
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- X1 9 Q
- X0 X
- X0 K
- X0.03 (to the dif) 54 732 P
- X0.03 (ferential topology of the entire vector \336eld. As mentioned) 86.35 732 P
- X-0.12 (above, much work in theoretical and applied mathematics has been) 54 722 P
- X-0.11 (done in this area. This work needs to be studied and applied to ef) 54 712 P
- X-0.11 (\336-) 286.01 712 P
- X(cient vector \336eld imaging algorithms.) 54 702 T
- X2.37 (LIC is conceptually independent of the advection algorithm) 63 691.67 P
- X2.07 (used to de\336ne the parametric support used by the convolution) 54 681.67 P
- X0.39 (operation. The method described here might be best characterized) 54 671.67 P
- X2.08 (as a variable step Euler) 54 661.67 P
- X2.08 (\325) 146 661.67 P
- X2.08 (s method. Other techniques such as a) 148.5 661.67 P
- X2.11 (fourth order Runge-Kutta could produce dif) 54 651.67 P
- X2.11 (fering or improved) 221.89 651.67 P
- X2.26 (results. A thorough investigation into this issue is beyond the) 54 641.67 P
- X0.65 (scope of this paper) 54 631.67 P
- X0.65 (. It does, however) 123.1 631.67 P
- X0.65 (, represent an area deserving) 188.83 631.67 P
- X(special attention.) 54 621.67 T
- X1.73 (V) 63 611.33 P
- X1.73 (isualizing the orthogonal complement of a two-dimensional) 68.95 611.33 P
- X0.08 (vector \336eld is accomplished by rotating the individual vectors 90) 54 601.33 P
- X4 F
- X0.08 (\260) 288.16 601.33 P
- X1 F
- X0.08 (.) 291.75 601.33 P
- X1.03 (However) 54 591.33 P
- X1.03 (, in three-dimensional vector \336elds the orthogonal com-) 86.58 591.33 P
- X0.53 (plement of a vector is a plane. This suggests that a generalization) 54 581.33 P
- X0.07 (of the one-dimensional LIC \336lter would be a two-dimensional sur-) 54 571.33 P
- X0.32 (face \336lter) 54 561.33 P
- X0.32 (. This \336lter would have as its geometric support a dif) 88.01 561.33 P
- X0.32 (fer-) 281.03 561.33 P
- X0.16 (ential surface whose normals would be de\336ned by the vector \336eld,) 54 551.33 P
- X1.37 (thus creating a Surface Integral Convolution \050SIC\051. As with the) 54 541.33 P
- X-0.04 (LIC, an arbitrary two-dimensional \336lter could then be used to \336lter) 54 531.33 P
- X(the three-dimensional input image.) 54 521.33 T
- X-0.21 (Another direction for generalization is to develop versions of the) 63 511 P
- X2.37 (algorithm which operate directly on curvilinear and arbitrarily) 54 501 P
- X1.37 (grided vector \336elds without resampling the input data. The LIC) 54 491 P
- X0.96 (algorithm could easily be modi\336ed to handle arbitrary line inter-) 54 481 P
- X0.35 (sections and topologies of both type of grids. As with the rectilin-) 54 471 P
- X6.05 (ear LIC, it would have an analogous three-dimensional) 54 461 P
- X0.05 (generalization. T) 54 451 P
- X0.05 (wo additional problems remain however: generat-) 114.32 451 P
- X1.36 (ing curvilinear and arbitrarily girded textures and output resam-) 54 441 P
- X(pling.) 54 431 T
- X0.12 (One possible image processing application of LIC is the deblur-) 63 420.67 P
- X1.59 (ring of motion blurred images. Images acquired with a moving) 54 410.67 P
- X1.43 (CCD camera often exhibit such blurring. If the CCD frequency) 54 400.67 P
- X1.58 (response curves and the camera motion are known, one-dimen-) 54 390.67 P
- X0.04 (sional deconvolution techniques could be used in conjunction with) 54 380.67 P
- X(LIC to deblur the images.) 54 370.67 T
- X0.19 (The local nature of the LIC algorithm suggests a parallel imple-) 63 360.33 P
- X1.26 (mentation. Such an implementation could, in principle, compute) 54 350.33 P
- X0.21 (all pixels simultaneously) 54 340.33 P
- X0.21 (. This would allow for interactive genera-) 143.22 340.33 P
- X(tion of periodic motion animations and special ef) 54 330.33 T
- X(fects.) 230.32 330.33 T
- X0 F
- X(7. SUMMAR) 54 313 T
- X(Y) 106.59 313 T
- X1 F
- X0.55 (Line integral convolution represents a new and general method) 63 302.67 P
- X1.39 (for imaging two- and three-dimensional vector \336elds. The algo-) 54 292.67 P
- X0.37 (rithm \336lters an input image along local stream lines de\336ned by an) 54 282.67 P
- X0.54 (input vector \336eld and generates an output image. The one-dimen-) 54 272.67 P
- X0.83 (sional \336lter shape is independent of either input and can be arbi-) 54 262.67 P
- X2.16 (trary) 54 252.67 P
- X2.16 (. T) 70.38 252.67 P
- X2.16 (o indicate directional \337ow of the vector \336eld, a whole) 81.9 252.67 P
- X0.21 (family of continuous motion \336lters has been introduced. These \336l-) 54 242.67 P
- X0.67 (ters give apparent motion in the direction of the vector \336eld. The) 54 232.67 P
- X0.71 (technique can also be used to create special ef) 54 222.67 P
- X0.71 (fects. Additionally) 224.73 222.67 P
- X0.71 (,) 291.75 222.67 P
- X0.07 (the local nature of the algorithm lends itself to ef) 54 212.67 P
- X0.07 (\336cient and simple) 229.95 212.67 P
- X(implementations.) 54 202.67 T
- X0 F
- X(8. ACKNOWLEDGMENTS) 54 185.33 T
- X1 F
- X-0.11 (This work was performed under the auspices of the U.S. Depart-) 63 175 P
- X2.83 (ment of Ener) 54 165 P
- X2.83 (gy by Lawrence Livermore National Laboratory) 106.41 165 P
- X1.11 (under contract W) 54 155 P
- X1.11 (-7405-ENG-48. The SIGGRAPH \32493 reviewers) 118.11 155 P
- X0.14 (provided many helpful comments and suggestions. Thanks to Nel-) 54 145 P
- X0.29 (son Max who suggested using higher order functions within a cell) 54 135 P
- X1.77 (and who provided critical assessment all along the way) 54 125 P
- X1.77 (. Roger) 265.77 125 P
- X0.17 (Craw\336s deserves special thanks for various conversations over the) 54 115 P
- X1.31 (past couple of years on the topic of vector visualization. Chuck) 54 105 P
- X0.05 (Grant provided helpful suggestions clarifying the language used to) 54 95 P
- X0.34 (discuss periodic motion \336lters. John Bell and Jef) 54 85 P
- X0.34 (f Greenough pro-) 230.94 85 P
- X0.34 (vided the turbulent computational \337uid dynamics data used in \336g-) 54 75 P
- X0.14 (ures 2, 4, 8 and 1) 317.29 732 P
- X0.14 (1 and for using the algorithm in their work. Dean) 379.3 732 P
- X-0.06 (W) 317.29 722 P
- X-0.06 (illiams and Jerry Potter provided the North America wind veloc-) 325.41 722 P
- X-0.21 (ity data. Lastly) 317.29 712 P
- X-0.21 (, thanks to John Zych who helped with the rendering) 369.96 712 P
- X(of the North America image.) 317.29 702 T
- X0 F
- X(REFERENCES) 317.29 684.44 T
- X1 F
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- X(Plotter) 335.29 663.88 T
- X(. In) 358.76 663.88 T
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- X(tion.) 335.29 443.4 T
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- X(T) 335.29 398.28 T
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- X( 23, 3 \050July 1989\051, 271-280.) 442.24 398.28 T
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- X0.33 (racking) 530.33 385.72 P
- X0.45 (Algorithm Using Dual Stream Functions.) 335.29 375.72 P
- X3 F
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- X(\32492 Confer) 335.29 365.72 T
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- X( \050October 1992\051, 62-68.) 437.45 365.72 T
- X(13.) 317.29 353.16 T
- X(Max, Nelson. Personal Communication \0501992\051.) 335.29 353.16 T
- X(14.) 317.29 340.6 T
- X1.16 (Perlin, K. An Image Synthesizer) 335.29 340.6 P
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- X0.44 ( 3, 1 \050January-March 1992\051,) 454.7 240.36 P
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- X2.17 (isual Display of Quantitative Information.) 397.59 217.8 P
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- X(Chesir) 335.29 207.8 T
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- X(: Graphics Pr) 377.9 207.8 T
- X(ess) 427.5 207.8 T
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- X( \0501983\051.) 438.48 207.8 T
- X(20.) 317.29 195.24 T
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- X1.79 (extures on Arbitrary Surfaces Using) 420.33 195.24 P
- X0.52 (Reaction-Dif) 335.29 185.24 P
- X0.52 (fusion T) 382.05 185.24 P
- X0.52 (extures.) 412.14 185.24 P
- X3 F
- X0.52 (Computer Graphics) 443.11 185.24 P
- X1 F
- X0.52 ( 25, 4 \050July) 515.28 185.24 P
- X(1991\051, 289-298.) 335.29 175.24 T
- X(21.) 317.29 162.68 T
- X0.55 (Upson, C. and Keeler) 335.29 162.68 P
- X0.55 (, M. V) 414.2 162.68 P
- X0.55 (-Buf) 437.94 162.68 P
- X0.55 (fer: V) 454.25 162.68 P
- X0.55 (isible V) 475.47 162.68 P
- X0.55 (olume Render-) 503.07 162.68 P
- X(ing.) 335.29 152.68 T
- X3 F
- X(Computer Graphics) 351.27 152.68 T
- X1 F
- X( 22, 4 \050August 1988\051, 59-64.) 422.91 152.68 T
- X(22.) 317.29 140.12 T
- X-0.05 (V) 335.29 140.12 P
- X-0.05 (an Gelder) 340.78 140.12 P
- X-0.05 (, A. and W) 375.55 140.12 P
- X-0.05 (ilhelms, J. Interactive Animated V) 414.24 140.12 P
- X-0.05 (isual-) 537.32 140.12 P
- X0.61 (ization of Flow Fields.) 335.29 130.12 P
- X3 F
- X0.61 (Pr) 421.36 130.12 P
- X0.61 (oceedings of the W) 430.01 130.12 P
- X0.61 (orkshop on V) 499.15 130.12 P
- X0.61 (ol-) 547.3 130.12 P
- X(ume V) 335.29 120.12 T
- X(isualization) 357.33 120.12 T
- X1 F
- X(, Kaufman and Lorensen Eds. \0501992\051.) 399.29 120.12 T
- X(23.) 317.29 107.56 T
- X-0.1 (V) 335.29 107.56 P
- X-0.1 (an W) 340.78 107.56 P
- X-0.1 (ijk, J. Spot Noise T) 359.54 107.56 P
- X-0.1 (exture Synthesis for Data V) 427.92 107.56 P
- X-0.1 (isualiza-) 526.84 107.56 P
- X(tion.) 335.29 97.56 T
- X3 F
- X(Computer Graphics) 353.76 97.56 T
- X1 F
- X( 25, 4 \050July 1991\051, 309-318.) 425.41 97.56 T
- X(24.) 317.29 85 T
- X0.78 (W) 335.29 85 P
- X0.78 (itkin, A. and Kass, M. Reaction-Dif) 343.41 85 P
- X0.78 (fusion T) 475.72 85 P
- X0.78 (extures.) 506.08 85 P
- X3 F
- X0.78 (Com-) 537.32 85 P
- X(puter Graphics) 335.29 75 T
- X1 F
- X(25, 4 \050July 1991\051, 299-308.) 392.2 75 T
- XFMENDPAGE
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- X%%+ Times-Roman
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- X%%+ Symbol
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- X%%+ AvantGarde-BookOblique
- X%%+ AvantGarde-DemiOblique
- END_OF_FILE
- if test 61490 -ne `wc -c <'lic.1.2/doc/siggraph93/paper.ps.C'`; then
- echo shar: \"'lic.1.2/doc/siggraph93/paper.ps.C'\" unpacked with wrong size!
- elif test -f 'lic.1.2/doc/siggraph93/paper.ps.A' && test -f 'lic.1.2/doc/siggraph93/paper.ps.B'; then
- echo shar: Combining \"'lic.1.2/doc/siggraph93/paper.ps'\" \(170079 characters\)
- cat 'lic.1.2/doc/siggraph93/paper.ps.A' 'lic.1.2/doc/siggraph93/paper.ps.B'
- 'lic.1.2/doc/siggraph93/paper.ps.C' > 'lic.1.2/doc/siggraph93/paper.ps'
- if test 170079 -ne `wc -c <'lic.1.2/doc/siggraph93/paper.ps'`; then
- echo shar: \"'lic.1.2/doc/siggraph93/paper.ps'\" combined with wrong size! else
- rm lic.1.2/doc/siggraph93/paper.ps.A lic.1.2/doc/siggraph93/paper.ps.B lic.1.2/doc/siggraph93/paper.ps.C
- fi
- fi
- # end of 'lic.1.2/doc/siggraph93/paper.ps.C'
- fi
- echo shar: End of archive 2 \(of 10\).
- cp /dev/null ark2isdone
- MISSING=""
- for I in 1 2 3 4 5 6 7 8 9 10 ; do
- if test ! -f ark${I}isdone ; then
- MISSING="${MISSING} ${I}"
- fi
- done
- if test "${MISSING}" = "" ; then
- echo You have unpacked all 10 archives.
- rm -f ark[1-9]isdone ark[1-9][0-9]isdone
- else
- echo You still must unpack the following archives:
- echo " " ${MISSING}
- fi
- exit 0
- exit 0 # Just in case...
-