Multimorphing: A tool for shape synthesis and analysis |
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| Authors: | Jindřich Parus Ivana Kolingerová Martina Málková |
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| Affiliation: | 1. Parallel and Distributed Systems Group, Delft University of Technology, The Netherlands;2. Informatics Institute, University of Amsterdam, The Netherlands;1. Università di Ferrara, ITALY;2. Facultät für Physik, Univesität Regensburg, GERMANY;3. Dip. di Fisica e Scienze della Terra and CMCS, Università di Ferrara and INFN, ITALY;4. Dip. di Fisica, Università di Roma La Sapienza and INFN, ITALY;5. Dip. di Matematica e Informatica, Università di Ferrara and INFN, ITALY;1. Faculty of Civil and Environmental Engineering, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia;2. Faculty of Civil Engineering, Universiti Teknologi Malaysia, Johor, Malaysia;3. Dept. of Civil and Structural Engineering, Universiti Kebangsaan Malaysia, Selangor, Malaysia;1. Department of Engineering, Universidad Nacional del Sur, Av. Alem 1253, (8000) Bahía Blanca, Argentina;2. Department of Geology, Universidad Nacional del Sur, CIC Province of Buenos Aires – INGEOSUR, Bahía Blanca, Argentina |
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| Abstract: | Morphing is a shape transformation where the shape of one object is deformed to the shape of the other object. It is used as an animation or a modeling technique. Classical morphing operates between two input objects but this concept can be extended to multiple input objects – the so called multimorphing. Shapes generated by the multimorphing form a space of shapes motivated by an affine space. Besides the analogy with an affine space we also introduce an inner product and a concept of an orthogonal projection. We also show how to explore space of shapes and how to systematically generate new shapes. The paper focuses on the boundary representation, although some ideas are more general and can be used for other representations, too. |
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