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Practical Boolean Operations on Point-Sampled Models

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Book cover Computational Science and Its Applications - ICCSA 2006 (ICCSA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3980))

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Abstract

Boolean operation is an important way in geometry modeling. This paper proposes a novel Boolean operations algorithm for point-sampled models based on implicit function transforming. In the algorithm, the point models are converted to implicit surfaces at first, and then Boolean operations for implicit surface are used to the point models. The simple forms of Boolean operations for implicit surfaces are presented. The method of RBF variational interpolation based on scattered points is used to convert the point models into implicit surfaces. Using this algorithm, complex point model can be constructed from several point models. This Boolean operations algorithm for point models is also suitable for Boolean operations for mesh models. It can implement the editing process of Cut-and-Paste for mesh models.

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Author information

Authors and Affiliations

  1. College of Software Engineering, Zhejiang University of Technology, 310032, HangZhou

    Xujia Qin, Weihong Wang & Qu Li

  2. State Key Lab of CAD&CG, Zhejiang University, 310027, Hanzhou

    Xujia Qin

  3. State key Lab. of Software Development Environment, Beijing University of Aeronautics and Astronautics, 100083, Beijing

    Weihong Wang

Authors
  1. Xujia Qin
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  2. Weihong Wang
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  3. Qu Li
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina Gavrilova

  2. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

  5. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  6. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  7. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  8. School of Information and Communication Engineering, Sungkyunkwan University, Korea

    Hyunseung Choo

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© 2006 Springer-Verlag Berlin Heidelberg

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Qin, X., Wang, W., Li, Q. (2006). Practical Boolean Operations on Point-Sampled Models. In: Gavrilova, M., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3980. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751540_42

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  • DOI: https://doi.org/10.1007/11751540_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34070-6

  • Online ISBN: 978-3-540-34071-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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