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December 8, 2025ACM Transactions on GraphicsOpen Access

Closed-Form Construction of Voronoi Diagrams with Star-Shaped Metrics

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Authors

HZHaoyang Zhou

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Overview

Novel approach enhances voronoi diagrams in mechanical metamaterials, indicating improved design flexibility.

Key Points

  • The research aims to optimize voronoi diagrams using star-shaped metrics for flexible cellular design.
  • Introduced a closed-form, fully differentiable formulation for voronoi diagrams.
  • Developed a per-sector parameterization for star-shaped metrics to ensure uniformity in cell shapes.
  • Applied optimization techniques for site positioning and metric parameters.
  • Enabled creation of diverse cellular patterns ranging from homogeneous to continuously graded designs.
  • Demonstrated applications in decorative surfaces and innovative metamaterials.
  • Improved control over pattern quality compared to previous algorithms.

Cite This Study

Haoyang Zhou (2025) studied this question.

synapsesocial.com/papers/693624ce4fa91c937236ce2ehttps://doi.org/10.1145/3763296
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