Deformation of surfaces along curves and their applications
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초록

The connections between parameter surfaces enable the development of various geometric designs. However, these surfaces are generally connected along their boundaries in a rectangular domain. This study investigated the methods for connecting surfaces along a curve. To this end, we introduced two-variable degenerate functions and utilized their algebraic properties to characterize the form of the parameter surfaces for practical surface construction. The results were used to deform the surfaces along the curve. For application, we presented the examples of deformations using B & eacute;zier surfaces and extended them to general surfaces.

키워드

B & eacutezier surfaceSurface connectionSurface deformationDegenerate functionHERMITE INTERPOLATIONFAMILYDESIGN
제목
Deformation of surfaces along curves and their applications
저자
Yoon, Dae WonLee, Hyun Chol
DOI
10.1007/s40314-024-02857-6
발행일
2024-09
유형
Article
저널명
Computational and Applied Mathematics
43
6