第一章:三点平稳和非平稳细分方案

2008 3rd International Conference on Geometric Modeling and Imaging Pub Date : 2008-07-09 DOI:10.1109/GMAI.2008.13

Sunita Daniel, P. Shunmugaraj

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引用次数: 16

摘要

我们提出了一类3点二元逼近C-1平稳细分格式。Chaikin 2点格式和已知的3点格式属于这类格式。我们还提出了一个3点C-1非平稳细分方案。这种非平稳方案再现了由{1,sin(alphax)， cos(alphax)}， 0 < alpha < pi/2，特别是圆，椭圆等张成的函数。

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Chapter 1: Three Point Stationary and Non-stationary Subdivision Schemes

We present a family of 3-point binary approximating C-1 stationary subdivision schemes. The Chaikin 2-point scheme and a known 3-point scheme belong to this family of schemes. We also present a 3-point C-1 non-stationary subdivision scheme. This non-stationary scheme reproduces functions spanned by {1, sin(alphax), cos(alphax)}, 0 < alpha < pi/2 and, in particular, circles, ellipses and so on.

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2008 3rd International Conference on Geometric Modeling and Imaging

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