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Related Experiment Video

Updated: May 30, 2026

Cross-Modal Multivariate Pattern Analysis

Cross-Modal Multivariate Pattern Analysis

Published on: November 9, 2011

Partwise cross-parameterization via nonregular convex hull domains.

Huai-Yu Wu¹, Chunhong Pan, Hongbin Zha

¹Peking University, Key Laboratory of Machine Perception (MOE), Room 2219, Science Building No. 2, Peking University, Beijing 100871, PR China. wuhy@cis.pku.edu.cn

IEEE Transactions on Visualization and Computer Graphics

|August 6, 2011

Summary

This summary is machine-generated.

This study introduces a new partwise framework for 3D mesh cross-parameterization using nonregular convex hull domains. This method simplifies complex shapes, enabling compatible mesh generation for applications like shape blending.

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Area of Science:

Computer Graphics
Computational Geometry
3D Modeling

Background:

Cross-parameterization of 3D meshes is crucial for various geometric applications.
Existing methods often rely on regular parameterization domains, limiting their applicability to complex shapes.
A robust method for establishing shape correspondence and generating compatible meshes is needed.

Purpose of the Study:

To propose a novel partwise framework for cross-parameterization between 3D mesh models.
To introduce a nonregular domain-based approach for simplifying complex 3D shapes.
To facilitate accurate surface matching and shape blending through compatible mesh generation.

Main Methods:

A partwise framework utilizing nonregular approximation domains for cross-parameterization.
Construction of convex hulls for segmented parts of 3D models to build shape correspondence.
Adoption of a convex-hull cross-parameterization method followed by compatible remeshing algorithms.

Main Results:

The proposed framework successfully transforms complex input shapes into simpler ones.
Compatible meshes are generated, ensuring accurate geometric approximation and complete surface matching.
The generated compatible meshes demonstrate suitability for shape blending and other geometric applications.

Conclusions:

The novel partwise framework with nonregular convex hull domains offers an effective solution for 3D mesh cross-parameterization.
This approach simplifies complex shapes, facilitating robust shape correspondence and compatible mesh generation.
The method provides well-suited meshes for downstream applications such as shape blending and geometric modeling.