Construction of a VC1 interpolant over triangles via edge deletion

Claudia Cottin; Ruud van Damme

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

Construction of a VC1 interpolant over triangles via edge deletion

Claudia Cottin
, Ruud van Damme

Research output: Contribution to journal › Article › Academic › peer-review

323 Downloads (Pure)

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	English
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
3D reconstruction
Interpolation to scattered data

Access to Document

10.1016/0167-8396(94)90058-2

ArticleFinal published version, 786 KB

1 Report

Construction of a VC1 interpolant over triangles via edge deletion
Cottin, C. & van Damme, R., 1991, Enschede: University of Twente. 13 p. (Memorandum; no. 988)
Research output: Book/Report › Report › Professional

Cite this

@article{cbf607e018254140b0976f47e82318b8,

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.",

keywords = "Visually smooth interpolants, Bezier patches, 3D reconstruction, Interpolation to scattered data",

author = "Claudia Cottin and \{van Damme\}, Ruud",

year = "1994",

doi = "10.1016/0167-8396(94)90058-2",

language = "English",

volume = "11",

pages = "675--686",

journal = "Computer aided geometric design",

issn = "0167-8396",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Construction of a VC1 interpolant over triangles via edge deletion

AU - Cottin, Claudia

AU - van Damme, Ruud

PY - 1994

Y1 - 1994

N2 - 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.

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 - 3D reconstruction

KW - Interpolation to scattered data

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

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

M3 - Article

SN - 0167-8396

VL - 11

SP - 675

EP - 686

JO - Computer aided geometric design

JF - Computer aided geometric design

IS - 6

ER -

Construction of a VC1 interpolant over triangles via edge deletion

Abstract

Keywords

Access to Document

Fingerprint

Research output

Construction of a VC1 interpolant over triangles via edge deletion

Cite this