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Pt. I Euclidean geometry 1
1 2D computational Euclidean geometry 3
2 Geometric predicates 17
3 3D computational Euclidean geometry 27
4 Affine transformations 35
5 Affine intersections 51
6 Genericity in geometric computing 61
7 Numerical precision 69
Pt. II Non-Euclidean geometries 85
8 1D computational spherical geometry 87
9 2D computational spherical geometry 93
10 Rotations and quaternions 101
11 Projective geometry 109
12 Homogeneous coordinates for projective geometry 119
13 Barycentric coordinates 143
14 Oriented projective geometry 149
15 Oriented projective intersections 157
Pt. III Coordinate-free geometry 169
16 Homogeneous coordinates for Euclidean geometry 171
17 Coordinate-free geometric computing 175
18 Introduction to CGAL 183
Pt. IV Raster graphics 191
19 Segment scan conversion 193
20 Polygon-point containment 201
21 Illumination and shading 205
22 Raster-based visibility 209
23 Ray tracing 213
Pt. V Tree and graph drawing 217
24 Tree drawing 219
25 Graph drawing 227
Pt. VI Geometric and solid modeling 235
26 Boundary representations 237
27 The halfedge data structure and Euler operators 245
28 BSP trees in Euclidean and spherical geometries 255
29 Geometry-free geometric computing 265
30 Constructive solid geometry 277
Pt. VII Vector visibility 285
31 Visibility from Euclidean to spherical spaces 287
32 Visibility in space 293
Appendices 297
A The PostScript language 299
B OpenGL 309
C The GLOW toolkit 319
Bibliography 331
Index 335
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Add Introduction to Geometric Computing, Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementatio, Introduction to Geometric Computing to the inventory that you are selling on WonderClubX
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Add Introduction to Geometric Computing, Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementatio, Introduction to Geometric Computing to your collection on WonderClub |