Page 225 - Geometric Modeling and Algebraic Geometry

Index

A 1 singularity, 47 distance bound, 217
R
µ (d),47 divisor, 125
µ(d),47 divisor
anticanonical, 132
B´ ezier clipping, 170, 172, 178 Doo–Sabin subdivision, 185
Bernstein Dupin cyclide, 79–81, 85, 91
basis, 202
eigencubes, 189
polynomials, 162, 166
eigenpolygon, 184–186
representation, 170, 171
eigenprisms, 193, 194
canal surface, 79
G–circulant matrices, 181, 187, 188
Chmutov’s conjecture, 48
Gaussian map, 84–86
circulant matrices, 182, 183
group characters, 188
classical invariant theory, 34
classification, 55, 65, 70 Hessian matrix, 60
computer aided design, 55 hypersurface
conical node, 48 isotropic, 81, 84
covariant, 31, 38
curve implicitization, 55
parametrization, 129 implicitization
rational, 128 approximate, 216
via elimination, 222
regularity, 204–207
via substitution, 224
ridge, 199, 209, 211
injectivity criterion, 207
self–intersection, 199, 210, 211
intersection, 100, 101, 104
silhouette, 212
space, 215
Jacobian ideal, 60
topology, 199
K3 surface, 48
Descartes’ rule, 202
Discrete Fourier Transform, 184 Laguerre geometry, 80, 84, 92