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A Leaf Modeling and Multi-Scale Remeshing Method for Visual Computation via Hierarchical Parametric Vein and Margin

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This study presents a new hierarchical leaf modeling method using parametric curves for veins and margins. The approach generates high-quality, multi-resolution meshes suitable for computer graphics and plant simulations.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Plant Sciences

Background:

  • Leaf modeling is complex due to diverse plant species and structural variations.
  • Existing methods struggle with accurate representation of intricate leaf geometry and biological structures.

Purpose of the Study:

  • To introduce a novel hierarchical structured representation for leaf modeling.
  • To propose a multi-resolution remeshing method for large-scale visual computation of leaves.

Main Methods:

  • Developed a Hierarchical Parametric Veins and Margin (HPVM) representation using parametric curves for leaf skeleton.
  • Constructed a parametric surface model with geometric and structured constraints.
  • Employed a multi-step resampling strategy and Constrained Delaunay Triangulation (CDT) for mesh generation.

Main Results:

  • Achieved high-quality meshes from non-manifold data, preserving biological structures and geometry.
  • The HPVM representation effectively captures leaf skeleton and surface details.
  • Generated multi-resolution meshes suitable for various applications.

Conclusions:

  • The proposed HPVM method offers an effective solution for complex leaf modeling.
  • This approach facilitates advanced applications like leaf simulation, rendering, and light distribution analysis.
  • The method is robust for handling diverse leaf structures and large-scale visual computations.