Article ID Journal Published Year Pages File Type
440976 Computer Aided Geometric Design 2009 16 Pages PDF
Abstract

Shape preserving curve approximation is considered for an ordered set of spatial data points. Linear sufficient conditions for shape preserving criteria on convexity, inflection, collinearity and coplanarity are derived to ensure the approximant mimics the shape of the data. The cubic B-spline is used to generate the C2 shape preserving approximation curve as this type of spline enables the shape preserving constraints to be formulated in a simple way.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design