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arXiv · 1601.04816

Tetrisation of triangular meshes and its application in shape blending

Shizuo Kaji
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Abstract

The As-Rigid-As-Possible (ARAP) shape deformation framework is a versatile technique for morphing, surface modelling, and mesh editing. We discuss an improvement of the ARAP framework in a few aspects: 1. Given a triangular mesh in 3D space, we introduce a method to associate a tetrahedral structure, which encodes the geometry of the original mesh. 2. We use a Lie algebra based method to interpolate local transformation, which provides better handling of rotation with large angle. 3. We propose a new error function to compile local transformations into a global piecewise linear map, which is rotation invariant and easy to minimise. We implemented a shape blender based on our algorithm and its MIT licensed source code is available online.

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Shizuo Kaji. 2016-01-19. Tetrisation of triangular meshes and its application in shape blending. https://arxiv.org/abs/1601.04816

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