Optimization of Medial Axis-Based Quadrilateral Mesh Generation

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An optimized medial axis-based quadrilateral mesh generation algorithm improves mesh quality metrics, such as scaled Jacobian and minimum angle, on complex CAD models by effectively controlling boundary singular points and enhancing partitioning regularity. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Hao Wang; Xiaopeng Zheng; Zhihui Qi; Na Lei; Zhongxuan Luo

doi:10.3724/sp.j.1089.2025-00374

February 1, 2026Journal of Computer-Aided Design & Computer GraphicsOpen Access

Optimization of Medial Axis-Based Quadrilateral Mesh Generation

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Key Points

The primary aim is to optimize quadrilateral mesh generation using a medial axis approach to address issues in existing algorithms.
Analyzed the relationship between singular point distribution and topology structure.
Proposed two preprocessing schemes and an edge exchange optimization algorithm.
Combined a boundary-first flattening algorithm with integer programming methods.
Generated quadrilateral meshes with high metrics for scalability, jacobian, and minimum angles across various models.
Demonstrated control over boundary singular points and improved mesh regularity.
Validated effectiveness through comparisons with mainstream methods on complex geometries.

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Implication

Optimization algorithm generates efficient quadrilateral meshes in complex CAD models, enhancing control and quality.

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Wang et al. (2026) studied this question.

synapsesocial.com/papers/6a0d4f92f03e14405aa9af70 https://doi.org/10.3724/sp.j.1089.2025-00374

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Optimization of Medial Axis-Based Quadrilateral Mesh Generation

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Implication

Abstract

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Optimization of Medial Axis-Based Quadrilateral Mesh Generation

Key Points

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