Page 226 - Geometric Modeling and Algebraic Geometry

230 Index
matrix quadratic spline, 191
Hessian, 60 quadratically parameterizable sur-
Milnor number, 60 face, 31
monoid, 57, 62, 63, 66, 67 quadric
monoid natural, 79
hypersurface, 55, 56 quartic surface, 31, 48
quartic, 55, 64, 71
real, 62, 75 real line arrangements, 48
surface, 55, 58, 63 representation
multiplicity, 55, 56, 63, 67, 68 rational univariate, 148
ridge curve, 209
natural quadric, 79, 91 right equivalence, 74
node, 47 root–system A 2 ,49
number
intersection, 58, 61, 65 Sampson distance, 219
Milnor, 60, 63, 75 scroll, 98
scroll
orbits, 33
dual, 98, 100
oval, 109
silhouette curve, 212
singular locus, 100, 101
parameterization, 55, 56
singularity, 47
parametrization
space curve, 215
curve, 119, 129
Steiner surface, 31
plane
Steiner surface
3-projective, 97
discriminant, 41
tangent, 97, 100
dual surface, 40
point
implicit equation, 39
base, 57, 58
triple point, 41
boundary, 163, 169, 171, 172, 176
subdivision
critical, 108, 110
method, 199, 201, 208, 209
cuspidal, 174, 176
solver, 203
pinch, 102, 109
surfaces, 181, 183, 186
purple, 142
volumes, 189
ridge, 142
surface
singular, 201, 204
(1,2) bidegree, 96
solitary, 48
canal, 79
turning, 163, 171, 172, 174
directrix, 95
umbilical, 142
intersection, 199, 205
polygon
Newton, 119, 125 monoid, 58
polynomial nodal, 50
folding, 48 normal ruled, 95
real folding, 49 of revolution, 215
Tchebychev, 48 quadratic canal, 79, 83, 85–87, 91
quartic, 31, 48
quadratic canal surfaces, 81 ruled, 95