- 45 Downloads
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.
AMS Subject Classifications68U05 68U07
KeywordsMorphing Minkowski sum Cartesian products
Unable to display preview. Download preview PDF.
- 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.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
- Vahrenkamp, N.: Metamorphosen durch Schattenwürfe. Diplomarbeit, Universität Karlsruhe, Germany, July 2005.Google Scholar