Surface-Filling Curve Flows via Implicit Medial Axes

We introduce a fast, robust, and user-controllable algorithm to generate surface-filling curves. We compute these curves through the gradient flow of a simple sparse energy, making our method several orders of magnitude faster than previous works. Our algorithm makes minimal assumptions on the topology and resolution of the input surface, achieving improved robustness. Our framework provides tuneable parameters that guide the shape of the output curve, making it ideal for interactive design applications.


Yuta Noma (University of Tokyo, University of Toronto)
Silvia Sellan (University of Toronto)
Nicholas Sharp (NVIDIA)
Karan Singh (University of Toronto)
Alec Jacobson (Adobe Research, University of Toronto)

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