Error estimates for approximations from control nets (Q1208494)
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scientific article; zbMATH DE number 166485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error estimates for approximations from control nets |
scientific article; zbMATH DE number 166485 |
Statements
Error estimates for approximations from control nets (English)
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16 May 1993
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The author notes that for a collection of functions \(B_ i(x)\) giving a partition of unity over a domain \(\Omega\), for a linear function \(L(b)=\sum b_ i B_ i\), one has \(\| L(b)-L(c)\|\leq\max\| b_ i-c_ i\|\). He applies the remark to several kinds of splines and rational \(B\)-spline functions to obtain uniform estimates.
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error estimates
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control nets
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computer aided geometric design
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flatness test
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subdivision
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knot insertion
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convergence order
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rational \(B\)-spline
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