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Quality Mesh Smoothing via Local Surface Fitting and Optimum Projection.

Jun Wang1, Zeyun Yu

  • 1Department of Computer Science, University of Wisconsin-Milwaukee, 3200 N. Cramer St., Milwaukee, WI 53211, USA.

Graphical Models
|June 21, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel surface mesh processing technique to enhance both mesh smoothness and angle quality. The method uses local surface fitting and a maximum inscribed circle projection for improved geometric data.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Scientific Visualization

Background:

  • Surface mesh quality is critical for applications like visualization and numerical simulation.
  • Existing methods often focus on either smoothness or angle quality, but not both.
  • Noise and poor angle quality in meshes hinder downstream processing accuracy.

Purpose of the Study:

  • To present a novel surface mesh processing method that simultaneously reduces noise and improves angle quality.
  • To enhance the overall
  • goodness
  • of surface meshes for various computational tasks.

Main Methods:

  • Local surface fitting around each vertex using least squares minimization.
  • Determining the new vertex position via the maximum inscribed circle (MIC) of the surrounding polygon.
  • Projecting the MIC center onto the analytically fitted surface iteratively until convergence.

Main Results:

  • Significant improvement in mesh smoothness through combined surface fitting and projection.
  • Enhanced angle quality achieved by the MIC-based projection scheme.
  • Demonstrated effectiveness across diverse geometric mesh models.

Conclusions:

  • The proposed method offers a robust solution for improving both mesh smoothness and angle quality.
  • This technique is valuable for applications requiring high-fidelity geometric representations.
  • The novel approach provides a unified strategy for comprehensive surface mesh enhancement.