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A New Method for Smooth Interpolation without Twist Constraints
Caiming ZHANG Takeshi AGUI Hiroshi NAGAHASHI Tomoharu NAGAO
IEICE TRANSACTIONS on Information and Systems
Publication Date: 1993/02/25
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing, Computer Graphics and Pattern Recognition
smooth interpolation, polynomial, fair surface, triangle, barycentric coordinates,
Full Text: PDF(688.5KB)>>
A new method for interpolating boundary function values and first derivatives of a triangle is presented. This method has a relatively simple construction and involves no compatibility constraints. The polynomial precision set of the interpolation function constructed includes all the cubic polynomial and less. The testing results show that the surface produced by the proposed method is better than the ones by weighted combination schemes in both of the fairness and preciseness.