Skip to main content
Log in

Shadow metamorphosis

  • Published:
Computing Aims and scope Submit manuscript

Abstract

Any two objects A and B can be viewed as two different projections of their Cartesian product A×B. Rotating and projecting A×B results in a continuous transformation of A into B. During certain rotations, the contour of the Cartesian product remains the same although its projection changes. Based on these properties, we derive a fast and simple morphing algorithm without topological constraints on either object.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alexa, M., Cohen-Or, D., Levin, D.: As-rigid-as-possible shape interpolation. In: SIGGRAPH '00: Proc. 27th Annual Conf. Computer Graphics and Interactive Techniques, pp. 157–164. New York: ACM Press/Addison-Wesley 2000.

  • M. Alexa (2002) ArticleTitleRecent advances in mesh morphing Comput. Graph. Forum 21 IssueID2 173–196 Occurrence Handle10.1111/1467-8659.00575

    Article  Google Scholar 

  • D. Cohen-Or A. Solomovic D. Levin (1998) ArticleTitleThree-dimensional distance field metamorphosis ACM Trans. Graph. 17 IssueID2 116–141 Occurrence Handle10.1145/274363.274366

    Article  Google Scholar 

  • Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Mesh optimization. Computer Graphics 27(Annual Conference Series), 19–26 (1993).

    Google Scholar 

  • A. Kaul J. Rossignac (1992) ArticleTitleSolid-interpolating deformations: Construction and animation of pips Comput. Graph. 16 IssueID1 107–115 Occurrence Handle10.1016/0097-8493(92)90077-9

    Article  Google Scholar 

  • T. W. Sederberg S. C. White A. K. Zundel (1989) ArticleTitleFat arcs: a bounding region with cubic convergence Comput. Aided Geom. Des. 6 IssueID3 205–218 Occurrence Handle0676.65010 Occurrence Handle10.1016/0167-8396(89)90024-1

    Article  MATH  Google Scholar 

  • Vahrenkamp, N.: Metamorphosen durch Schattenwürfe. Diplomarbeit, Universität Karlsruhe, Germany, July 2005.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Prautzsch.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klimmek, B., Prautzsch, H. & Vahrenkamp, N. Shadow metamorphosis. Computing 79, 325–335 (2007). https://doi.org/10.1007/s00607-006-0209-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00607-006-0209-8

AMS Subject Classifications

Keywords

Navigation