Geometric Tools for Computer Graphics

S

saddle points

defined, 908

illustrated, 909, 911

locating, 908

scalar division, 19

scalar matrices, 33

scalar multiplication, 19

associativity of, 20, 23

defined, 65

determinant, 37

distributivity of, 20

identity, 20

matrix representation, 115

properties, 66–69

scalar product, 86–92

defined, 20, 86

symbols, 86–87

scalar triple product, 125–126

defined, 95

determinant relationship, 126

scalars, 42

defined, 15

math notation, 15

properties, 96

scalar-valued properties, 63

scaling, 142–148

direction, 146

factor, 145, 146

frames, 143

general, 144–148

illustrated, 143

nonuniform, 78, 79, 143, 855

origin, 145, 146

points, 142, 145, 146

sequence of operations, 144

simple, 142–144

uniform, 78, 79, 142, 855

vector, ...