Geometric Tools for Computer Graphics

M

manifold edges, 339

manifold meshes

connected, 344

consistent orderings, 343

defined, 342

orientability, 342, 343

See also meshes

mappings, 45–47

composition of, 46

defined, 45

identity, 47

inverse, 47

isomorphic, 46, 48

linear, 47–52

one-to-one, 46, 48

onto, 46, 48

special types of, 46–47

marching methods, 610–611

mathematical induction, 817

matrices, 16–24

addition of, 19

affine, 133

for affine transformations, 133

analysis, 847

arithmetic operations, 18–20

augmented, 29, 30, 828

Bézout, 606, 844

block, 133

coefficient, 29, 828

column, 21

companion, 871–872

composition of, 14–15

convex polygon, 768

defined, 16

diagonal, 32–34, 218

general reflection, 152

general rotation, 139

identity, 33–34

linear mapping ...