A New Method for Smooth Interpolation without Twist Constraints

Caiming ZHANG  Takeshi AGUI  Hiroshi NAGAHASHI  Tomoharu NAGAO  

IEICE TRANSACTIONS on Information and Systems   Vol.E76-D   No.2   pp.243-250
Publication Date: 1993/02/25
Online ISSN: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing, Computer Graphics and Pattern Recognition
smooth interpolation,  polynomial,  fair surface,  triangle,  barycentric coordinates,  

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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.