DocumentCode
2121647
Title
Optimized Design Bézier Surfaces Interpolation Geodesics
Author
Huogen, Yang ; Weigang, Zou
Author_Institution
Fac. of Sci., Jiangxi Univ. of Sci. & Technol., Ganzhou, China
fYear
2010
fDate
24-26 Dec. 2010
Firstpage
550
Lastpage
553
Abstract
This paper is concerned with reconstruction of Bézier surfaces through the cubic geodesics. Given n(n=2)regular spatial cubic Bézier curves, polynomial Bézier surfaces are designed to interpolate these curves so that they are isoprametric geodesics of the constructed surfaces. The control points of the interpolation surfaces are represented explicitly, and the surfaces are optimized by two minimization criterions. Computational experiments show the method is feasible.
Keywords
computational geometry; differential geometry; interpolation; polynomials; cubic geodesics; isoprametric geodesics; minimization criterions; optimized design Bézier surfaces interpolation geodesics; polynomial Bézier surfaces; spatial cubic Bézier curves; Design automation; Interpolation; Minimization; Polynomials; Shape; Surface reconstruction; Surface treatment; Bézier surfaces; geodesic; optimization;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ISISE), 2010 International Symposium on
Conference_Location
Shanghai
ISSN
2160-1283
Print_ISBN
978-1-61284-428-2
Type
conf
DOI
10.1109/ISISE.2010.138
Filename
5945166
Link To Document