skip to main content
10.1145/122718.122745acmconferencesArticle/Chapter ViewAbstractPublication PagessiggraphConference Proceedingsconference-collections
Article
Free Access

Generalized implicit functions for computer graphics

Authors Info & Claims
Published:01 July 1991Publication History

ABSTRACT

We describe a method of generalizing implicit functions by use of modal deformations and displacement maps. Modal deformations, also known as free vibration modes, are used to describe the overall shape of a solid, while displacement maps provide local and fine surface detail by offsetting the surface of the solid along its surface normals. The advantage of this approach to geometric description is that collision detection and dynamic simulation become simple and inexpensive even for complex shapes. In addition, we outline an efficient method for fitting such models to three dimensional point data.

References

  1. 1.D. Baraff. Curved Surfaces and Coherence for Nonpenetrating Rigid Body Simulation. Computer Graphics, 24(4): 19-28, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2.A. Barr. Global and Local Deformations of Solid Primitives. Computer Graphics, 18(3):21-30, 1984. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3.A. Barr. Superquadrics and Angle-Preserving Transforms. IEEE Computer Graphics and Applications, 1(1): 1 1-23, 1981.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.P. J. Burr and E. H. Adelson. A Multiresolution Spline With Application to Image Mosaics. ACM Transactions on Graphics, 2(4):217-236, 1983. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5.T. Foley, D. Lane, and G. Nielson. interpolation of Scattered Data on Closed Surfaces. Computer Aided Geometric Design, 7:303-312, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.J. K. Hahn. Realistic Animation of Rigid Bodies. Computer Graphics, 22(4):299-308, 1988. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.D. Kalra and A. H. Bart. Guaranteed Ray Intersections with Implicit Surfaces. Computer Graphics, 23(3):297-306, 1989. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.M. Moore and J. Wilhelms. Collision Detection and Response for Computer Animation. Computer Graphics, 22(4):289- 298, 1988. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. 9.A. Pentland. Computational Complexity Versus Virtual Worlds. Computer Graphics, 24(2): 185-192,1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. 10.A. Pentland and S. Sclaroff. Closed-Form Solutions for Physically-Based Shape Modeling and Recognition. IEEE Trans. on Pattern Analysis and Machine Intelligence, 13, to appear in July 1991. Special Issue on Physically-Based Modeling. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. 11.A. Pentland and J. Williams. Good Vibrations : Modal Dynamics for Graphics and Animation. Computer Graphics, 23(4):215-222, 1989. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. 12.B. von Herzen, A. Barr, and H. Zatz. Geometric Collisions for Time-Dependent Parametric Surfaces. Computer Graphics, 24(4):39-48, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 13.L. Williams. Performance-Driven Facial Animation. Computer Graph~:s, 24(4):235-242, 1990. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Generalized implicit functions for computer graphics

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in
        • Published in

          cover image ACM Conferences
          SIGGRAPH '91: Proceedings of the 18th annual conference on Computer graphics and interactive techniques
          July 1991
          393 pages
          ISBN:0897914368
          DOI:10.1145/122718

          Copyright © 1991 ACM

          Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 July 1991

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • Article

          Acceptance Rates

          Overall Acceptance Rate1,822of8,601submissions,21%

          Upcoming Conference

          SIGGRAPH '24

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader