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About this paper
Ryan Viertel, Braxton Osting
The authors represent cross fields as complex-valued fields, using Ginzburg–Landau theory to study singularities. MBO alternates diffusion and renormalization to approximate energy-minimizing fields. Under assumptions, tracing separatrices partitions domains into quadrilateral regions; limit cycles are handled with one T-junction per approaching separatrix. On the 6,375-node gear model, MBO took 0.0289 seconds versus 0.8484 for L-BFGS, a test case.
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