DocumentCode
2934316
Title
Deformation of plane curves preserving Pythagorean hodographs
Author
Ueda, Kenji
Author_Institution
Ricoh Co. Ltd., Tokyo, Japan
fYear
1997
fDate
27-29 Aug 1997
Firstpage
71
Lastpage
76
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Visualization, 1997. Proceedings., 1997 IEEE Conference on
Conference_Location
London
ISSN
1093-9547
Print_ISBN
0-8186-8076-8
Type
conf
DOI
10.1109/IV.1997.626490
Filename
626490
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