Marsh D. Applied Geometry for Computer Graphics and CAD
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350 Index
rolling-ball blend 233
rotation see transformation
saturation 298
scaling see transformation
self-occluding 302
shade 298
shading
– flat 307
– Gouraud 307
– Phong 309
shadow 320
shear see transformation
shelling 232
silhouette 309
skinning 251
specular light 299
specular reflection 302
speed 99, 275
subdivision 154, 248
surface
– B-spline 235
–B´ezier 234
– bilinear 243
– constructions 241
– curvature 285
– – Gaussian 291
– – mean 291
– extruded 241
– Gordon–Coons 256
– implicit 225
– loft 254
– non-parametric explicit 227
– normal 227
– NURBS 235
– of revolution 49, 245
– parametric 226
– quadric 228
– regular 226
– ruled 242
– singular 226
– skin 251
– subdivision 248
– tangent vector 227
– translational swept 244
tangent
– line 100, 101
– vector 100, 275
thickening 233
tint 298
tone 298
torsion 275
– vector 277
torus 232, 246, 295
trace 96
transformation 3
– affine 21, 42
– concatenation 13, 30
– identity 6, 31
– inverse 6, 31, 32
– non-singular 4, 32
– projective 20, 42
– reflection 8
– – in arbitrary line 34
– – in arbitrary plane 47
– rotation 9, 29, 43
– – about arbitrary line 45
– – about arbitrary point 33
– scaling 7, 28, 43
– shear 11
– singular 4
– translation 5, 27, 42
translation see transformation
trimetric projection see projection
umbilic point 291
variation diminishing property 147,
177
viewing pipeline 80
viewplane
– coordinates 76
– window 76, 80
viewpoint see centre of perspectivity
viewport window see device window
visual tangent continuity 172
weight 175, 179