Representation of Surfaces on 5 and 6 Sided Regions

Caiming ZHANG  Takeshi AGUI  Hiroshi NAGAHASHI  

IEICE TRANSACTIONS on Information and Systems   Vol.E77-D   No.3   pp.326-334
Publication Date: 1994/03/25
Online ISSN: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing, Computer Graphics and Pattern Recognition
computer aided geometric design,  surface representation,  n-sided region,  boundary curve,  cross-boundary slope.,  

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A C1 interpolation scheme for constructing surface patch on n-sided region (n5, 6) is presented. The constructed surface patch matches the given boundary curves and cross-boundary slopes on the sides of the n-sided region (n5, 6). This scheme has relatively simple construction, and offers one degree of freedom for adjusting interior shape of the constructed interpolation surface. The polynomial precision set of the scheme includes all the polynomials of degree three or less. The experiments for comparing the proposed scheme with two schemes proposed by Gregory and Varady respectively and also shown.