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Rigidity controllable as-rigid-as-possible shape deformation

机译：刚度可控的刚性变形

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摘要

Shape deformation is one of the fundamental techniques in geometric processing. One principle of deformation is to preserve the geometric details while distributing the necessary distortions uniformly. To achieve this, state-of-the-art techniques deform shapes in a locally as-rigid-as-possible (ARAP) manner. Existing ARAP deformation methods optimize rigid transformations in the 1-ring neighborhoods and maintain the consistency between adjacent pairs of rigid transformations by single overlapping edges. In this paper, we make one step further and propose to use larger local neighborhoods to enhance the consistency of adjacent rigid transformations. This is helpful to keep the geometric details better and distribute the distortions more uniformly. Moreover, the size of the expanded local neighborhoods provides an intuitive parameter to adjust physical stiffness. The larger the neighborhood is, the more rigid the material is. Based on these, we propose a novel rigidity controllable mesh deformation method where shape rigidity can be flexibly adjusted. The size of the local neighborhoods can be learned from datasets of deforming objects automatically or specified by the user, and may vary over the surface to simulate shapes composed of mixed materials. Various examples are provided to demonstrate the effectiveness of our method. (C) 2017 Elsevier Inc. All rights reserved.
机译：形状变形是几何处理中的基本技术之一。变形的原理之一是保留几何细节，同时均匀分布必要的变形。为实现此目的，最新技术以局部可能的刚性（ARAP）方式变形形状。现有的ARAP变形方法优化了1环邻域中的刚性变换，并通过单个重叠边来保持相邻的刚性变换对之间的一致性。在本文中，我们进一步迈出了一步，并建议使用更大的局部邻域来增强相邻刚性变换的一致性。这有助于更好地保持几何细节并更均匀地分布变形。此外，扩展后的局部邻域的大小提供了直观的参数来调整物理刚度。邻域越大，材料越坚固。在此基础上，我们提出了一种可以灵活调节形状刚度的刚度可控的网格变形方法。可以从变形对象的数据集中自动获悉或由用户指定局部邻域的大小，并且可以在整个表面上变化以模拟由混合材料组成的形状。提供了各种示例来证明我们方法的有效性。 （C）2017 Elsevier Inc.保留所有权利。

著录项

  • 来源
    《Graphical models》 |2017年第2017期|13-21|共9页
  • 作者

    Chen Shu-Yu; Gao Lin; Lai Yu-Kun; Xia Shihong;

  • 作者单位

    Chinese Acad Sci, Inst Comp Technol, Beijing Key Lab Mobile Comp & Pervas Device, Beijing, Peoples R China|Univ Chinese Acad Sci, Beijing, Peoples R China;

    Chinese Acad Sci, Inst Comp Technol, Beijing Key Lab Mobile Comp & Pervas Device, Beijing, Peoples R China;

    Cardiff Univ, Sch Comp Sci & Informat, Cardiff, S Glam, Wales;

    Chinese Acad Sci, Inst Comp Technol, Beijing Key Lab Mobile Comp & Pervas Device, Beijing, Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Shape deformation; Rigidity; Neighborhood; Geometric modeling; As rigid as possible;

    机译：形状变形;刚度;邻域;几何建模;尽可能刚性;

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