Reproduce “Fabrication-Aware Strip-Decomposable Quadrilateral Meshes” on OpenResearch
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About this paper
Ioanna Mitropoulou, Amir Vaxman, Olga Diamanti, Benjamin Dillenburger
The authors introduce a method to generate and edit strip-decomposable quadrilateral meshes, preserving two crossing strip networks on curved surfaces. It integrates directional fields into parameterizations, then lets users guide strip rewiring or collapse through vertex alignments. Examples show editing removes winding strips and enables printable patches; four shell prototypes demonstrate the pipeline for smooth surfaces with open boundaries.
Key insights
- The methodology employs coupled integrable 2-vector fields to robustly generate strip-decomposable quadrilateral (SDQ) meshes, which inherently possess the two-colorable property crucial for specific fabrication processes.
- A novel interactive, strip-based topological editing paradigm allows users to refine the global arrangement of strips, eliminating undesirable winding strips and enabling the creation of well-structured, manufacturable patches.
- By incorporating fabrication-specific geometric objectives, such as orthogonality, uniformity, and smoothness of strips, directly into the field optimization, the generated meshes are inherently suited for various manufacturing techniques.
Summary by alphaXiv.
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