Computer Graphics Forum· 2026Q1
Surface Quadrilateral Meshing from Integrable Odeco Fields
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- Q1SCImago
- 2026year
Short summary
A new method generates orthogonal quadrilateral meshes on surfaces by computing integrable orthogonal frame fields using 3D orthogonally decomposable (odeco) tensors, implicitly handling singularities.
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Key points
- Generates orthogonal quadrilateral meshes on surfaces with user-defined constraints.
- Utilizes integrable orthogonal frame fields represented by 3D orthogonally decomposable (odeco) tensors.
- Minimizes area and angle distortion energies through finite element optimization.
- Singularities are automatically created and placed by the optimization process.
- Demonstrates improved performance and lower distortion compared to prior integrable frame field methods, especially with sizing constraints.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We present a method for generating orthogonal quadrilateral meshes subject to user‐defined feature alignment and sizing constraints. The approach relies on computing integrable orthogonal frame fields, whose symmetries are implicitly represented using orthogonally decomposable (odeco) tensors. We extend the existing 2D odeco integrability formulation to the 3D setting, and define the useful energies in a finite element approach. Our frame fields are shear‐free (orthogonal) by construction, and we provide terms to minimize area and/or angle distortion. The optimization naturally creates and places singularities to achieve integrability, obviating the need for user placement or greedy iterative methods. We validate the method on both smooth surfaces and feature‐rich CAD models. Compared to previous works on integrable frame fields, we offer better performance in the presence of mesh sizing constraints and achieve lower distortion metrics.
The authors' abstract, as published at the source. Computer Graphics Forum, 2026 · DOI ↗
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Field: Computer Graphics and Computer-Aided Design
Computer Graphics and Computer-Aided DesignComputer Science