Convexity preserving interpolatory subdivision with conic precision

Details Convexity preserving interpolatory subdivision with conic precision Convexity preserving interpolatory subdivision with conic precision

2010-04-08

arxiv.org/abs/1004.1295v1

Mathematics

Numerical Analysis

Scientific paper

The paper is concerned with the problem of shape preserving interpolatory subdivision. For arbitrarily spaced, planar input data an efficient non-linear subdivision algorithm is presented that results in $G^1$ limit curves, reproduces conic sections and respects the convexity properties of the initial data. Significant numerical examples illustrate the effectiveness of the proposed method.

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