Title :
Deformation of plane curves preserving Pythagorean hodographs
Author_Institution :
Ricoh Co. Ltd., Tokyo, Japan
Abstract :
Parametric plane curves are expressed as complex valued functions of a real parameter. The method is convenient for investigating Pythagorean-hodograph curves. A complex function transforms one curve to another curve in the complex plane. There are complex functions which preserve the Pythagorean hodographs of the curves. These functions can be used in deforming Pythagorean-hodograph curves. In particular, the Mobius transformation is useful in controlling the deformation
Keywords :
CAD; computational geometry; engineering graphics; Mobius transformation; Pythagorean hodographs; complex valued functions; parametric plane curves; plane curves deformation; real parameter; Equations; Holography; Polynomials; Visualization;
Conference_Titel :
Information Visualization, 1997. Proceedings., 1997 IEEE Conference on
Conference_Location :
London
Print_ISBN :
0-8186-8076-8
DOI :
10.1109/IV.1997.626490
