Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme (Q448992)
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scientific article; zbMATH DE number 6080936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme |
scientific article; zbMATH DE number 6080936 |
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Matching admissible \(G^2\) Hermite data by a biarc-based subdivision scheme (English)
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11 September 2012
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This paper presents a biarc-based subdivision scheme that can match any admissible \(G^2\) Hermite data by a spiral segment. Proofs of the relevant properties of the proposed scheme are provided. An attractive property of the proposed scheme is that the resulting spiral generated from an ``offset \(G^2\) Hermite data'' is an exact offset curve of the spiral generated from the original given admissible \(G^2\) Hermite data. Several examples are provided to show the resulting shape of subdivision curves under different initial admissible \(G^2\) Hermite data and their applications in the transportation and manufacturing industries.
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geometry driven subdivision
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nonlinear subdivision scheme
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admissible \(G^2\) Hermite interpolation
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spiral
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monotone curvature
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shape preserving
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numerical examples
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