Constrained shape scaling of trimmed NURBS surfaces

Pifu Zhang; Caiming Zhang; Fuhua (Frank) Cheng

doi:10.1115/DETC99/DTM-8755

Constrained shape scaling of trimmed NURBS surfaces

Pifu Zhang, Caiming Zhang, Fuhua (Frank) Cheng

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Scopus citations

Abstract

A method to scale and deform a trimmed NURBS surface while holding the shape and size of specific features (trimming curves) unchanged is presented. The new surface is formed by scaling the given surface according to the scaling requirement first; and then attaching the (original) features to the scaled NURBS surface at appropriate locations. The attaching process requires several geometric operations and constrained free-form surface deformation. The resulting surface has the same features as the original surface and same boundary curves as the scaled surface while reflecting the shape and curvature distribution of the scaled surface. This is achieved by minimizing a shape-preserving objective function which covers all the factors in the deformation process such as bending, stretching and spring effects. The resulting surface maintains a NURBS representation and, hence, is compatible with most of the current data-exchange standards. Test results oh several car parts with trimming curves are inncluded. The quality of the resulting surfaces is examined using the highlight line model.

Original language	English
Title of host publication	11th International Conference on Design Theory and Methodology
Pages	131-140
Number of pages	10
ISBN (Electronic)	9780791819739
DOIs	https://doi.org/10.1115/DETC99/DTM-8755
State	Published - 1999
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: Sep 12 1999 → Sep 16 1999

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	3

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	9/12/99 → 9/16/99

Bibliographical note

Publisher Copyright:
© 1999 American Society of Mechanical Engineers (ASME). All rights reserved.

Keywords

Constrained deformation
Constrained scaling
NURBS surfaces
Strain energy
Trimming curves

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

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10.1115/DETC99/DTM-8755

Cite this

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title = "Constrained shape scaling of trimmed NURBS surfaces",

abstract = "A method to scale and deform a trimmed NURBS surface while holding the shape and size of specific features (trimming curves) unchanged is presented. The new surface is formed by scaling the given surface according to the scaling requirement first; and then attaching the (original) features to the scaled NURBS surface at appropriate locations. The attaching process requires several geometric operations and constrained free-form surface deformation. The resulting surface has the same features as the original surface and same boundary curves as the scaled surface while reflecting the shape and curvature distribution of the scaled surface. This is achieved by minimizing a shape-preserving objective function which covers all the factors in the deformation process such as bending, stretching and spring effects. The resulting surface maintains a NURBS representation and, hence, is compatible with most of the current data-exchange standards. Test results oh several car parts with trimming curves are inncluded. The quality of the resulting surfaces is examined using the highlight line model.",

keywords = "Constrained deformation, Constrained scaling, NURBS surfaces, Strain energy, Trimming curves",

author = "Pifu Zhang and Caiming Zhang and Cheng, {Fuhua (Frank)}",

note = "Publisher Copyright: {\textcopyright} 1999 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1999 Design Engineering Technical Conferences, DETC 1999 ; Conference date: 12-09-1999 Through 16-09-1999",

year = "1999",

doi = "10.1115/DETC99/DTM-8755",

language = "English",

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Zhang, P, Zhang, C & Cheng, F 1999, Constrained shape scaling of trimmed NURBS surfaces. in 11th International Conference on Design Theory and Methodology. Proceedings of the ASME Design Engineering Technical Conference, vol. 3, pp. 131-140, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, United States, 9/12/99. https://doi.org/10.1115/DETC99/DTM-8755

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T1 - Constrained shape scaling of trimmed NURBS surfaces

AU - Zhang, Pifu

AU - Zhang, Caiming

AU - Cheng, Fuhua (Frank)

PY - 1999

Y1 - 1999

N2 - A method to scale and deform a trimmed NURBS surface while holding the shape and size of specific features (trimming curves) unchanged is presented. The new surface is formed by scaling the given surface according to the scaling requirement first; and then attaching the (original) features to the scaled NURBS surface at appropriate locations. The attaching process requires several geometric operations and constrained free-form surface deformation. The resulting surface has the same features as the original surface and same boundary curves as the scaled surface while reflecting the shape and curvature distribution of the scaled surface. This is achieved by minimizing a shape-preserving objective function which covers all the factors in the deformation process such as bending, stretching and spring effects. The resulting surface maintains a NURBS representation and, hence, is compatible with most of the current data-exchange standards. Test results oh several car parts with trimming curves are inncluded. The quality of the resulting surfaces is examined using the highlight line model.

AB - A method to scale and deform a trimmed NURBS surface while holding the shape and size of specific features (trimming curves) unchanged is presented. The new surface is formed by scaling the given surface according to the scaling requirement first; and then attaching the (original) features to the scaled NURBS surface at appropriate locations. The attaching process requires several geometric operations and constrained free-form surface deformation. The resulting surface has the same features as the original surface and same boundary curves as the scaled surface while reflecting the shape and curvature distribution of the scaled surface. This is achieved by minimizing a shape-preserving objective function which covers all the factors in the deformation process such as bending, stretching and spring effects. The resulting surface maintains a NURBS representation and, hence, is compatible with most of the current data-exchange standards. Test results oh several car parts with trimming curves are inncluded. The quality of the resulting surfaces is examined using the highlight line model.

KW - Constrained deformation

KW - Constrained scaling

KW - NURBS surfaces

KW - Strain energy

KW - Trimming curves

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Constrained shape scaling of trimmed NURBS surfaces

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

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