Article ID Journal Published Year Pages File Type
6876623 Computer Aided Geometric Design 2018 14 Pages PDF
Abstract
Our current paper takes a different approach: the basis functions are calculated by a much simpler algebra that is capable to reproduce standard formulations like Bézier and B-splines curves, and can maintain Cn end constraints. We introduce the Proximity-Bézier, shortly P-Bézier, and P-Bspline curves, including the construction of basis functions and the most important mathematical properties. A general control point insertion algorithm is also described. Several examples are shown to compare the classical and the new representations. A tensor product generalization of the scheme is also demonstrated.
Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
Authors
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