Uniformed NURBS Surface Deformation Subject to Boundary Conditions

UM > Faculty of Science and Technology > DEPARTMENT OF ELECTROMECHANICAL ENGINEERING

Status	已發表Published
	Uniformed NURBS Surface Deformation Subject to Boundary Conditions
	Yang, Z. X.; Lo, K. M.
	2007-08-01
Source Publication	Computational Methods in Engineering & Science
Publisher	Springer Berlin Heidelberg
Pages	282-288
Abstract	To allow mass custermization in competitive industries, it is important to conduct new product design and development with concentration on few key features while reusing the existed portion of design in terms of geometric shape and boundary condition. Partition methods will be firstly applied to separate a product model into a base shape and working feature. Customized design will be implemented by replacing the working feature with a new pattern, which shall be deformed such that the boundary is matched and the finallized feature is closed to the original one. This paper presents a new surface deforming method with an attempt to solve mentioned design problem. The control net of a surface is treated as a space truss so that the control points are considered as the nodes of the structure. When any of the nodes is moved, the entire structure is deformed accordingly. The techniques on the construction of the control net, determination of displacement of boundary node and unconstrainted node, and surface morphing will discussed in detail. Due to the localization property of NURBS surface, the number of control points could be adjusted is often restricted in traditional method. The proposed deforming method enables the control net being deformed gloabally and in a uniformed manner, which result a’ similar’ deformed surface to the original pattern the designer intended to apply in the new product. It is believed the proposed method could be applied in related industries including shoe and car design.
Keyword	NURBS Surface Deformation
Language	英語English
ISBN	9783540482604
The Source to Article	PB_Publication
PUB ID	26787
Document Type	Book chapter
Collection	DEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Recommended Citation GB/T 7714	Yang, Z. X.,Lo, K. M.. Uniformed NURBS Surface Deformation Subject to Boundary Conditions[M]. Computational Methods in Engineering & Science:Springer Berlin Heidelberg, 2007, 282-288.
APA	Yang, Z. X.., & Lo, K. M. (2007). Uniformed NURBS Surface Deformation Subject to Boundary Conditions. Computational Methods in Engineering & Science, 282-288.

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