Construction of a VC1 interpolant over triangles via edge deletion

Claudia Cottin; Rudolf M.J. van Damme

doi:10.1016/0167-8396(94)90058-2

Construction of a VC1 interpolant over triangles via edge deletion

Claudia Cottin, Rudolf M.J. van Damme

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Abstract

We present a construction of a visually smooth surface which interpolates to position values and normal vectors of randomly distributed points on a 3D object. The method is local and uses quartic triangular and bicubic quadrilateral patches without splits. It heavily relies on an edge deleting algorithm which, starting from a given triangulation, derives a suitable combination of three- and four sided patches.

Original language	Undefined
Pages (from-to)	675-686
Number of pages	12
Journal	Computer aided geometric design
Volume	11
Issue number	6
DOIs	https://doi.org/10.1016/0167-8396(94)90058-2
Publication status	Published - 1994

Keywords

Visually smooth interpolants
Bezier patches
IR-30293
3D reconstruction
Interpolation to scattered data
METIS-140933

Access to Document

10.1016/0167-8396(94)90058-2

Cottin94construction

Cite this

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title = "Construction of a VC1 interpolant over triangles via edge deletion",

abstract = "We present a construction of a visually smooth surface which interpolates to position values and normal vectors of randomly distributed points on a 3D object. The method is local and uses quartic triangular and bicubic quadrilateral patches without splits. It heavily relies on an edge deleting algorithm which, starting from a given triangulation, derives a suitable combination of three- and four sided patches.",

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AU - van Damme, Rudolf M.J.

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AB - We present a construction of a visually smooth surface which interpolates to position values and normal vectors of randomly distributed points on a 3D object. The method is local and uses quartic triangular and bicubic quadrilateral patches without splits. It heavily relies on an edge deleting algorithm which, starting from a given triangulation, derives a suitable combination of three- and four sided patches.

KW - Visually smooth interpolants

KW - Bezier patches

KW - IR-30293

KW - 3D reconstruction

KW - Interpolation to scattered data

KW - METIS-140933

U2 - 10.1016/0167-8396(94)90058-2

DO - 10.1016/0167-8396(94)90058-2

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