Geometric Methods and Applications: For Computer Science and Engineering

Front Cover
Springer Science & Business Media, 2001 - Computers - 565 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
5
IV
9
V
10
VIII
18
IX
20
X
24
XI
30
XII
35
LXXIV
285
LXXV
287
LXXVI
289
LXXVII
291
LXXVIII
298
LXXIX
302
LXXX
303
LXXXI
306

XIII
42
XIV
44
XV
48
XVI
49
XVII
51
XVIII
66
XXI
68
XXII
72
XXIII
74
XXV
82
XXVI
84
XXVII
87
XXVIII
90
XXIX
91
XXXI
95
XXXII
99
XXXIII
102
XXXIV
109
XXXV
115
XXXVI
122
XXXVII
125
XXXVIII
130
XXXIX
133
XL
134
XLI
136
XLII
141
XLIII
145
XLIV
166
XLVI
172
XLVII
184
XLVIII
189
XLIX
192
L
193
LI
201
LIV
206
LV
217
LVI
221
LVII
223
LVIII
225
LIX
231
LX
235
LXI
239
LXII
243
LXIII
252
LXVI
257
LXVII
264
LXVIII
268
LXIX
269
LXX
271
LXXII
279
LXXIII
283
LXXXII
313
LXXXIV
314
LXXXV
322
LXXXVI
328
LXXXVIII
332
LXXXIX
337
XCII
343
XCIII
353
XCIV
356
XCVI
360
XCVII
368
XCVIII
371
CI
380
CII
384
CIV
387
CV
389
CVI
391
CVII
395
CVIII
409
CIX
410
CX
419
CXII
424
CXIII
428
CXIV
430
CXV
443
CXVI
444
CXVII
446
CXVIII
448
CXIX
453
CXX
454
CXXI
456
CXXII
458
CXXIII
469
CXXVI
471
CXXVII
477
CXXVIII
482
CXXIX
487
CXXX
491
CXXXI
498
CXXXII
504
CXXXIII
507
CXXXIV
510
CXXXV
515
CXXXVI
522
CXXXVII
523
CXXXVIII
534
CXL
535
CXLI
539
CXLII
549
CXLIII
555
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 2 - That if a straight line meet two other straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles...
Page 535 - AH Barr, B. Currin, S. Gabriel, and JF Hughes, "Smooth Interpolation of Orientations with Angular Velocity Constraints using Quaternions," SIGGRAPH
Page xiii - Ars Combinatoria' (genetics) ? It was a particularly cruel fate that imposed upon him 'the yoke of a foreign tongue that was not sung at my cradle'.

Bibliographic information