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Surface Generation from an Irregular Network of Parametric Curves

  • Conference paper
Modeling in Computer Graphics

Part of the book series: IFIP Series on Computer Graphics ((IFIP SER.COMP.))

Abstract

This paper proposes a method of generating surfaces from a network of curves that have arbitrary parametric forms, and that intersect in an arbitrary topology.

The surfaces generated from the network are represented by multisided patches defined on a multivariate coordinate system. An m-sided patch is generated by blending m sub-surfaces with a transfinite interpolant, and each sub-surface is generated by blending two sweep surfaces that are defined by a pair of curves intersecting with each other in the network. An advantage of the final surfaces is that they have everywhere the same order of continuity as the curves.

This method is flexible in its representation of the curve expressions and the connective topology of a network. It can implement a surface model in user-friendly and designer-oriented CAD interfaces that handle direct input of 3D curves.

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Author information

Authors and Affiliations

  1. Tokyo Research Laboratory, IBM Japan, Ltd., 1623-14 Shimotsuruma, Yamato-shi Kanagawa, 242, Japan

    Shigeru Kuriyama

Authors
  1. Shigeru Kuriyama
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Editor information

Editors and Affiliations

  1. Istituto per la Matematica Applicata, C.N.R., Via De Marini, 6 Torre di Francia, 16149, Genova, Italy

    Bianca Falcidieno

  2. Dept. of Information Science Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku Tokyo, 113, Japan

    Tosiyasu L. Kunii

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© 1993 Springer-Verlag Berlin Heidelberg

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Kuriyama, S. (1993). Surface Generation from an Irregular Network of Parametric Curves. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-78114-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78116-2

  • Online ISBN: 978-3-642-78114-8

  • eBook Packages: Springer Book Archive

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