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Pré-Publication, Document De Travail Année : 2017

Formulae for the convolution of $\mathcal{G}^1$ skeleton curves into smooth surfaces

Résumé

We develop closed form formulae for the computation of the defining fields of convolutions surfaces. The formulae are obtained for power inverse kernels with skeletons made of line segments or arcs of circle. We apply the new formulae to obtain convolutions surfaces around $\mathcal{G}^1$ skeletons, some of them closed curves. We showcase how the use of arcs of circles greatly improves the visualization of the surface around a general curve compared with a segment based approach.
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Dates et versions

hal-01534159 , version 1 (07-06-2017)
hal-01534159 , version 2 (04-01-2018)

Identifiants

  • HAL Id : hal-01534159 , version 1

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Alvaro Javier Fuentes Suárez, Evelyne Hubert. Formulae for the convolution of $\mathcal{G}^1$ skeleton curves into smooth surfaces. 2017. ⟨hal-01534159v1⟩
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