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Published in:
2018 | OriginalPaper | Chapter
Advances in Homotopy Applied to Object Deformation
Authors : Jose Alejandro Salazar-Castro, Ana Cristina Umaquinga-Criollo, Lilian Dayana Cruz-Cruz, Luis Omar Alpala-Alpala, Catalina González-Castaño, Miguel A. Becerra-Botero, Diego Hernán Peluffo-Ordóñez, Cesar Germán Castellanos-Domínguez
Published in: Bioinformatics and Biomedical Engineering
Publisher: Springer International Publishing
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Abstract
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.