Geometric Tools for Computer Graphics

L

Lagrange multipliers, 473, 606, 910–922

constrained minimization problem and, 466

defined, 913

Laguerre’s method, 521

Laplacian expansion, 36

law of cosines, 938

Law of Excluded Middle, 4

law of sines, 936–938

defined, 936

illustrated, 937

proof, 936, 937

law of tangents, 939

leaf-node bounding boxes, 527, 528

least squares, 56–60

example illustration, 57

solution, 58

least squares fitting, 882–889

a circle to 2D points, 886–887

hyperplanar, 884–885

linear, 882

linear, using orthogonal

regression, 882–884

planar, 884

quadratic curve to 2D points, 888–889

quadric surface to 3D points, 889

sphere to 3D points, 887–888

level curves, 199, 200

defined, 895

equations, 895

illustrated, 379, 895, 896

projected onto xy ...