Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces

Robert E. Barnhill; Karsten Opitz; Helmut Pottmann

doi:10.1016/0167-8396(92)90030-S

Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces

Robert E. Barnhill, Karsten Opitz^*, Helmut Pottmann

^*Corresponding author for this work

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

13 Scopus citations

Abstract

We present a new technique for interpolation of scattered data on arbitrary surfaces. The interpolant is obtained as the restriction of a trivariate function and is piecewise defined over triangular surface patches. The smoothness of the resulting function over the domain surface is visualized by application of interrogation tools for surfaces on surfaces.

Original language	English (US)
Pages (from-to)	365-378
Number of pages	14
Journal	Computer Aided Geometric Design
Volume	9
Issue number	5
DOIs	https://doi.org/10.1016/0167-8396(92)90030-S
State	Published - Nov 1992
Externally published	Yes

Keywords

Scattered data interpolation
multivariate approximation
surfaces on surfaces
triangulations.

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/0167-8396(92)90030-S

Cite this

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title = "Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces",

abstract = "We present a new technique for interpolation of scattered data on arbitrary surfaces. The interpolant is obtained as the restriction of a trivariate function and is piecewise defined over triangular surface patches. The smoothness of the resulting function over the domain surface is visualized by application of interrogation tools for surfaces on surfaces.",

keywords = "Scattered data interpolation, multivariate approximation, surfaces on surfaces, triangulations.",

author = "Barnhill, {Robert E.} and Karsten Opitz and Helmut Pottmann",

year = "1992",

month = nov,

doi = "10.1016/0167-8396(92)90030-S",

language = "English (US)",

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TY - JOUR

T1 - Fat surfaces

T2 - a trivariate approach to triangle-based interpolation on surfaces

AU - Barnhill, Robert E.

AU - Opitz, Karsten

AU - Pottmann, Helmut

PY - 1992/11

Y1 - 1992/11

N2 - We present a new technique for interpolation of scattered data on arbitrary surfaces. The interpolant is obtained as the restriction of a trivariate function and is piecewise defined over triangular surface patches. The smoothness of the resulting function over the domain surface is visualized by application of interrogation tools for surfaces on surfaces.

AB - We present a new technique for interpolation of scattered data on arbitrary surfaces. The interpolant is obtained as the restriction of a trivariate function and is piecewise defined over triangular surface patches. The smoothness of the resulting function over the domain surface is visualized by application of interrogation tools for surfaces on surfaces.

KW - Scattered data interpolation

KW - multivariate approximation

KW - surfaces on surfaces

KW - triangulations.

UR - http://www.scopus.com/inward/record.url?scp=38249008691&partnerID=8YFLogxK

U2 - 10.1016/0167-8396(92)90030-S

DO - 10.1016/0167-8396(92)90030-S

M3 - Article

AN - SCOPUS:38249008691

SN - 0167-8396

VL - 9

SP - 365

EP - 378

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 5

ER -

Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces

Abstract

Keywords

ASJC Scopus subject areas

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