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Related Experiment Video

Updated: Jun 23, 2026

Measuring the Structure, Composition, and Change of Underwater Environments with Large-area Imaging

Measuring the Structure, Composition, and Change of Underwater Environments with Large-area Imaging

Published on: April 18, 2025

Surface mapping using consistent pants decomposition.

Xin Li¹, Xianfeng Gu, Hong Qin

¹Department of Electrical & Computer Engineering and the Center of Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USA. xinli@lsu.edu

IEEE Transactions on Visualization and Computer Graphics

|May 9, 2009

Summary

This summary is machine-generated.

This study introduces a novel pants decomposition framework for automatic surface mapping between shapes of any topology. The method simplifies complex mappings, offering flexibility and user control for shape computing applications.

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Area of Science:

Computer Graphics
Computational Geometry
Geometric Modeling

Background:

Surface mapping is crucial for shape computing and related fields.
Existing methods struggle with arbitrary topologies and user control.

Purpose of the Study:

To develop an automatic and flexible framework for computing maps between surfaces with arbitrary topologies.
To enable user-guided control over surface mapping through semantic integration.

Main Methods:

Pants decomposition of surfaces into genus-0 patches.
Composition of global mappings using harmonic maps of corresponding patches.
Integration of user constraints (point/curve) via human-computer interaction.

Main Results:

Automatic, one-to-one continuous mapping for complex topologies.
Flexible computation between surfaces of different topologies.
Reduced labor and increased intuitiveness compared to traditional methods.

Conclusions:

The pants decomposition framework provides an effective and user-friendly solution for surface mapping.
The method demonstrates significant potential for modeling and applications in shape computing.
It overcomes limitations of existing techniques in handling arbitrary topologies and user guidance.