A Generic Approach to Free Form Surface Generation

[+] Author and Article Information
J. Cotrina-Navau

Dept. de Telemàtica, Universitat Polytecnica de Catalunya, Spain e-mail: jcotrina@mat.upc.es

N. Pla-Garcia, M. Vigo-Anglada

Dept. de Lleng. i Sist. Informàtics, Universitat Politecnica de Catalunya, Spain

J. Comput. Inf. Sci. Eng 2(4), 294-301 (Mar 26, 2003) (8 pages) doi:10.1115/1.1559579 History: Received September 01, 2002; Revised January 01, 2003; Online March 26, 2003
Copyright © 2002 by ASME
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Defining the manifold W. (a) The mesh M. (b) The sub-mesh M02. (c) The sub-mesh M12. (d) The charts and the transition function.
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Control points for the same mesh of Fig. 2
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Uniform embedding approach process
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Surfaces obtained applying the uniform embedding approach
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Regular star approach process. (a) Original mesh with some irregular vertices. (b) Preprocessed mesh, where irregular vertices have been isolated. (c) A continuous plane regular star and a transition function ϕ⁁r,lk.
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Surfaces obtained applying the regular star approach
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A nice homeomorphism constructed using the regular star approach
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N-Sided patch approach process. (a) Example of an input mesh surrounding a 5-sided hole. (b) The parametric space defined by the plane mesh for the same example. One of the charts (associated to a face) is drawn.
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A 6-sided and a 5-sided patch obtained using the n-sided patch approach




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