【SIGGRAPH Asia 2012专题*技术论文】形状和树木：优化方法提取和编码一致地图的形状集合

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【SIGGRAPH Asia 2012专题*技术论文】
形状和树木：优化方法提取和编码一致地图的形状集合An Optimization Approach for Extracting and Encoding Consistent Maps in a Shape Collection
Qi-Xing Huang, Guo-Xin Zhang, Lin Gao, Shi-Min Hu, Adrian Butscher, Leonidas Guibas 摘要：介绍了一种新的方法来计算高品质的点至点的地图之间的相关形状的集合。所提出的方法需要输入一个稀疏不完善的初始形状对之间的映射，并建立一个紧凑的数据结构，它含蓄地对形状之间的映射一个改进的编码。这些地图对准点从最初的地图对应选择，它们映射到相邻的点的邻近点;他们提供周期的一致性，沿周期近似的身份地图的地图组成。
Abstract：We introduce a novel approach for computing high quality point-to-point maps among a collection of related shapes. The proposed approach takes as input a sparse set of imperfect initial maps between pairs of shapes and builds a compact data s***cture which implicitly encodes an improved set of maps between all pairs of shapes. These maps align well with point correspondences selected from initial maps; they map neighboring points to neighboring points; and they provide cycle-consistency, so that map compositions along cycles approximate the identity map.
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