Using partial differential equations to generate free-form surfaces (Q1814025)
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scientific article; zbMATH DE number 5649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Using partial differential equations to generate free-form surfaces |
scientific article; zbMATH DE number 5649 |
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Using partial differential equations to generate free-form surfaces (English)
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25 June 1992
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Typical surface design is carried out either by interpolating to a given set of data points, or by manipulating interactively \(B\)-spline or Bézier control nets. This paper takes a different approach, namely by making the desired surface the solution of a partial differential equation. The boundary conditions may be adjusted, and so a shape parameter effect is achieved. The method is applied to such examples as ship hulls, propeller blades, and telephone handsets.
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free-form surfaces
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surface design
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shape parameter effect
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ship hulls
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propeller blades
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telephone handsets
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