Approximation of minimum energy surfaces using optimal twists

R. Qu; J. Ye

doi:10.1016/S0895-7177(98)00163-0

Approximation of minimum energy surfaces using optimal twists

R. Qu
, J. Ye

Biodesign Institute

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

3 Scopus citations

Abstract

This paper gives a method for specifying the optimal 'twist vectors' at grid points for an interpolating surface to a rectangular network of curves. These twists are uniquely determined by minimizing an approximate energy form of the surface and can be obtained by solving a well-defined linear system.

Original language	English (US)
Pages (from-to)	41-48
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	28
Issue number	11
DOIs	https://doi.org/10.1016/S0895-7177(98)00163-0
State	Published - Dec 1998

Keywords

Approximation
Coons patch
Interpolation
Surface patch
Twist

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/S0895-7177(98)00163-0

Cite this

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title = "Approximation of minimum energy surfaces using optimal twists",

abstract = "This paper gives a method for specifying the optimal 'twist vectors' at grid points for an interpolating surface to a rectangular network of curves. These twists are uniquely determined by minimizing an approximate energy form of the surface and can be obtained by solving a well-defined linear system.",

keywords = "Approximation, Coons patch, Interpolation, Surface patch, Twist",

author = "R. Qu and J. Ye",

year = "1998",

month = dec,

doi = "10.1016/S0895-7177(98)00163-0",

language = "English (US)",

volume = "28",

pages = "41--48",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

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T1 - Approximation of minimum energy surfaces using optimal twists

AU - Qu, R.

AU - Ye, J.

PY - 1998/12

Y1 - 1998/12

N2 - This paper gives a method for specifying the optimal 'twist vectors' at grid points for an interpolating surface to a rectangular network of curves. These twists are uniquely determined by minimizing an approximate energy form of the surface and can be obtained by solving a well-defined linear system.

AB - This paper gives a method for specifying the optimal 'twist vectors' at grid points for an interpolating surface to a rectangular network of curves. These twists are uniquely determined by minimizing an approximate energy form of the surface and can be obtained by solving a well-defined linear system.

KW - Approximation

KW - Coons patch

KW - Interpolation

KW - Surface patch

KW - Twist

UR - https://www.scopus.com/pages/publications/0032435278

UR - https://www.scopus.com/pages/publications/0032435278#tab=citedBy

U2 - 10.1016/S0895-7177(98)00163-0

DO - 10.1016/S0895-7177(98)00163-0

M3 - Article

AN - SCOPUS:0032435278

SN - 0895-7177

VL - 28

SP - 41

EP - 48

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11

ER -

Approximation of minimum energy surfaces using optimal twists

Abstract

Keywords

ASJC Scopus subject areas

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