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Versatile surface detail editing via Laplacian coordinates

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Abstract

This paper presents a versatile detail editing approach for triangular meshes based on filtering the Laplacian coordinates. More specifically, we first compute the Laplacian coordinates of the mesh vertices, then filter the Laplacian coordinates, and finally reconstruct the mesh from the filtered Laplacian coordinates by solving a linear least square system. The proposed detail editing method includes not only feature preserving smoothing but also enhancing. Furthermore, the proposed approach allows interactive editing of some user-specified frequencies and regions. Experimental results demonstrate that our method is much more versatile and faster than the existing methods.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

    Hui Wang, Zhixun Su & Junjie Cao

  2. Electric Power Division, Neusoft Corporation, Dalian, 116085, China

    Hongyin Chen

  3. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China

    Junjie Cao

  4. Applied Mathematics Research Center, Delaware State University, Dover, DE, 19901, USA

    Fengshan Liu & Xiquan Shi

Authors
  1. Hui Wang
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  2. Hongyin Chen
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  3. Zhixun Su
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  4. Junjie Cao
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  5. Fengshan Liu
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  6. Xiquan Shi
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Correspondence to Zhixun Su.

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Wang, H., Chen, H., Su, Z. et al. Versatile surface detail editing via Laplacian coordinates. Vis Comput 27, 401–411 (2011). https://doi.org/10.1007/s00371-011-0558-y

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  • DOI: https://doi.org/10.1007/s00371-011-0558-y

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