Pyramid Algorithms

G

general pyramid algorithm, 474

generating functions, 302

defined, 218

exercises, 220

for monomial to Bezier form conversion, 320

Grassmann coordinates

adapting, 29

defined, 11, 29

exercises, 30–31

of vectors, 29

  See also coordinates

Grassmann spaces, 10–17

addition in, 14

affine space mapping, 21

Bezier curve mass in, 260

cubic Hermite representation in, 135

defined, 13

dimension of, 13

exercises, 16–17

geometric model, 13, 14, 15

Lagrange curve in, 73

mass-points, 11–13

models, 11

polynomial curves in, 72

polynomial surfaces in, 108

projections from, 22, 26

projective space and, 19, 21

rational Bezier curve control points, 260

rational Bezier curves, 257

rational B-spline curves, 418

rational Lagrange curves, 69–77

rational Hermite curves, ...