An introduction to polar forms

H.-P. Seidel
1993 IEEE Computer Graphics and Applications  
Polar forms simplify the construction of polynomial and piecewise polynomial curves and surfaces and lead to new surface representations and algorithms. This paper provides an introduction to polar forms and shows how polar forms yield closed form solutions to various recursive algorithms that are used in Computer Aided Geometric Design. As a consequence, we obtain a simple new labeling scheme for B ezier and B-spline curves and surfaces that allows us to label control points in a consistent
more » ... meaningful way. The presentation concludes with a survey of some recent new results that were obtained using polar forms.
doi:10.1109/38.180116 fatcat:eivyti4znbhuhgxhhn5k2zpuxy