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Topology preserved shape deformation

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Abstract

This paper presents a novel framework for image and shape deformation, and applies the presented method to 2D shape deformation and image/video magnifying. Our proposed framework maintains two distinct advantages. The first is to enforce the topology preservation constraints on a given displacement field. This allows us to develop a foldover-free constrained deformation approach. The second is the ability to easily incorporate the constraint of As-Rigid-As Possible deformation. It guarantees that the resulting distortions are as small as possible. Experiments are carried out on both 2D shape deformations and images/video magnifying.

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Authors and Affiliations

  1. The Media School, Bournemouth University, Fern Barrow, Poole, BH12 5BB, UK

    Hongchuan Yu & Jian J. Zhang

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  1. Hongchuan Yu
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  2. Jian J. Zhang
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Correspondence to Hongchuan Yu.

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Yu, H., Zhang, J.J. Topology preserved shape deformation. Vis Comput 28, 849–858 (2012). https://doi.org/10.1007/s00371-012-0708-x

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