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Introduction to Geometric Computing Book

Introduction to Geometric Computing
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 has a rating of 3.5 stars
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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
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  • Introduction to Geometric Computing
  • Written by author Sherif Ghali
  • Published by Springer-Verlag New York, LLC, May 2008
  • 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
  • Although geometry has been a flourishing discipline for millennia, most of it has seen either no practical applications or only esoteric ones. Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also f
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Book Categories

Authors

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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