research-article

Tensor maps for synchronizing heterogeneous shape collections

Authors:

Zhenxiao Liang,

Chandrajit BajajAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 38, Issue 4

Article No.: 106, Pages 1 - 18

https://doi.org/10.1145/3306346.3322944

Published: 12 July 2019 Publication History

Abstract

Establishing high-quality correspondence maps between geometric shapes has been shown to be the fundamental problem in managing geometric shape collections. Prior work has focused on computing efficient maps between pairs of shapes, and has shown a quantifiable benefit of joint map synchronization, where a collection of shapes are used to improve (denoise) the pairwise maps for consistency and correctness. However, these existing map synchronization techniques place very strong assumptions on the input shapes collection such as all the input shapes fall into the same category and/or the majority of the input pairwise maps are correct. In this paper, we present a multiple map synchronization approach that takes a heterogeneous shape collection as input and simultaneously outputs consistent dense pairwise shape maps. We achieve our goal by using a novel tensor-based representation for map synchronization, which is efficient and robust than all prior matrix-based representations. We demonstrate the usefulness of this approach across a wide range of geometric shape datasets and the applications in shape clustering and shape co-segmentation.

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Index Terms

Tensor maps for synchronizing heterogeneous shape collections
1. Computer systems organization
  1. Dependable and fault-tolerant systems and networks
    1. Redundancy
  2. Embedded and cyber-physical systems
    1. Embedded systems
    2. Robotics
2. Networks
  1. Network properties
    1. Network reliability

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 38, Issue 4

August 2019

1480 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3306346

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ETH Zurich

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Published: 12 July 2019

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Cited By

Ju YDu XZhou QCarr NJu T(2024)Adaptive grid generation for discretizing implicit complexesACM Transactions on Graphics10.1145/365821543:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658215
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