Geometric Methods and Applications: For Computer Science and Engineering

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Springer Science & Business Media, Jan 1, 2001 - Computers - 565 pages
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As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.
 

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Contents

II
1
III
5
IV
6
V
14
VI
16
VII
20
VIII
26
IX
31
LXI
281
LXII
283
LXIII
285
LXIV
287
LXV
294
LXVI
298
LXVII
299
LXVIII
302

X
38
XI
40
XII
44
XIII
45
XIV
47
XV
62
XVI
64
XVII
68
XVIII
70
XIX
78
XX
80
XXI
83
XXII
86
XXIII
87
XXIV
91
XXV
95
XXVI
98
XXVII
105
XXVIII
111
XXIX
118
XXX
121
XXXI
126
XXXII
129
XXXIII
130
XXXIV
132
XXXV
137
XXXVI
141
XXXVII
162
XXXVIII
168
XXXIX
180
XL
185
XLI
188
XLII
189
XLIII
197
XLIV
202
XLV
213
XLVI
217
XLVII
219
XLVIII
221
XLIX
227
L
231
LI
235
LII
239
LIII
248
LIV
253
LV
260
LVI
264
LVII
265
LVIII
267
LIX
275
LX
279
LXIX
309
LXX
310
LXXI
318
LXXII
324
LXXIII
328
LXXIV
333
LXXV
339
LXXVI
349
LXXVII
352
LXXVIII
356
LXXIX
364
LXXX
367
LXXXI
376
LXXXII
380
LXXXIII
383
LXXXIV
385
LXXXV
387
LXXXVI
391
LXXXVII
405
LXXXVIII
406
LXXXIX
415
XC
420
XCI
424
XCII
426
XCIII
439
XCIV
440
XCV
442
XCVI
444
XCVII
449
XCVIII
450
XCIX
452
C
454
CI
465
CII
467
CIII
473
CIV
478
CV
483
CVI
487
CVII
494
CVIII
500
CIX
503
CX
506
CXI
511
CXII
518
CXIII
519
CXIV
530
CXV
531
CXVI
535
CXVII
545
CXVIII
551
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About the author (2001)

University of Pennsylvania

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