Abstract
Here we presented a framework to explore quad mesh topologies. The core of our work is a systematic enumeration algorithm that can generate all possible quadrangular meshes inside a defined boundary with an upper limit of v3-v5 pairs. The algorithm is orders of magnitude more efficient than previous work. The combination of topological enumeration and shape-space exploration demonstrates that mesh topology has a powerful influence on geometry. The Fig. 18. A gallery of different quadrilateral meshes for a Shuriken. The quadrilaterals of the model were colored in a postprocess. Topological variations have distinctive, interesting patterns of mesh lines.
Original language | English |
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Article number | a12 |
Journal | ACM Transactions on Graphics |
Volume | 33 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2014 |
Keywords
- Geometry processing
- Mesh connectivity
- Mesh optimization
- Quadrilateral meshes
- Topology