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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Voting for Distortion Points in Geometric Processing.

Shuangming Chai, Xiao-Ming Fu, Ligang Liu

    IEEE Transactions on Visualization and Computer Graphics
    |October 22, 2019
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    Summary
    This summary is machine-generated.

    This study introduces an automatic method to find distortion points in 3D meshes, crucial for reducing errors in mesh parameterization. The novel voting strategy effectively identifies these critical points for improved accuracy.

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    Area of Science:

    • Computer Graphics
    • Computational Geometry
    • Geometric Modeling

    Background:

    • Mesh parameterization requires minimizing isometric distortion.
    • Identifying vertices (distortion points) to concentrate distortion is challenging.
    • Existing methods for distortion point detection lack robustness.

    Purpose of the Study:

    • To present a novel, automatic method for detecting distortion points in closed triangular meshes.
    • To improve the robustness and practical applicability of distortion point detection.
    • To demonstrate the utility of detected distortion points in various mesh processing applications.

    Main Methods:

    • A voting strategy integrating candidate generation and voting.
    • Candidate generation involves mesh cutting, conformal parameterization, and distortion point detection.
    • Final distortion points are determined by aggregating and voting on candidate points.

    Main Results:

    • The proposed algorithm successfully detects distortion points on various closed meshes (genus zero or higher).
    • The method demonstrates superior practical robustness compared to existing state-of-the-art techniques.
    • Generated distortion points are effectively applied in planar parameterization, landmark correspondence, and remeshing.

    Conclusions:

    • The novel voting-based method provides an automatic and robust solution for distortion point detection in meshes.
    • This approach enhances the quality of mesh parameterization and related applications.
    • The technique offers a significant advancement in practical mesh processing capabilities.