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• W2413561362 abstract "Mesh parameterization is one of the fundamental operations in computer graphics (CG) and computeraided design (CAD). In this paper, we propose a novel local/global parameterization approach, ARAP++, for singleand multi-boundary triangular meshes. It is an extension of the as-rigid-as-possible (ARAP) approach, which stitches together 1-ring patches instead of individual triangles. To optimize the spring energy, we introduce a linear iterative scheme which employs convex combination weights and a fitting Jacobian matrix corresponding to a prescribed family of transformations. Our algorithm is simple, efficient, and robust. The geometric properties (angle and area) of the original model can also be preserved by appropriately prescribing the singular values of the fitting matrix. To reduce the area and stretch distortions for high-curvature models, a stretch operator is introduced. Numerical results demonstrate that ARAP++ outperforms several state-of-the-art methods in terms of controlling the distortions of angle, area, and stretch. Furthermore, it achieves a better visualization performance for several applications, such as texture mapping and surface remeshing." @default.
• W2413561362 created "2016-06-24" @default.
• W2413561362 creator A5002278105 @default.
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• W2413561362 date "2016-06-01" @default.
• W2413561362 modified "2023-10-17" @default.
• W2413561362 title "ARAP++: an extension of the local/global approach to mesh parameterization" @default.
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• W2413561362 doi "https://doi.org/10.1631/fitee.1500184" @default.
• W2413561362 hasPublicationYear "2016" @default.
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