Advances in Homotopy Applied to Object Deformation
| Autor: | Ana C. Umaquinga-Criollo, César Germán Castellanos-Domínguez, Lilian Dayana Cruz-Cruz, Catalina González-Castaño, Miguel A. Becerra-Botero, Luis Omar Alpala-Alpala, Diego Hernán Peluffo-Ordóñez, J. A. Salazar-Castro |
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| Rok vydání: | 2018 |
| Předmět: |
Transcendental function
business.industry Computer science Homotopy Usability 010103 numerical & computational mathematics Deformation (meteorology) Object (computer science) Mathematics::Algebraic Topology 01 natural sciences Algebra Linear map Simple (abstract algebra) 0101 mathematics business Parametric statistics |
| Zdroj: | Bioinformatics and Biomedical Engineering ISBN: 9783319787589 IWBBIO (2) |
| DOI: | 10.1007/978-3-319-78759-6_22 |
| Popis: | This work explores novel alternatives to conventional linear homotopy to enhance the quality of resulting transitions from object deformation applications. Studied/introduced approaches extend the linear mapping to other representations that provides smooth transitions when deforming objects while homotopy conditions are fulfilled. Such homotopy approaches are based on transcendental functions (TFH) in both simple and parametric versions. As well, we propose a variant of an existing quality indicator based on the ratio between the coefficients curve of resultant homotopy and that of a less-realistic, reference homotopy. Experimental results depict the effect of proposed TFH approaches regarding its usability and benefit for interpolating images formed by homotopic objects with smooth changes. |
| Databáze: | OpenAIRE |
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