Surface-Filling Curve Flows via Implicit Medial Axes

Author:

Noma Yuta12ORCID,Sellán Silvia2ORCID,Sharp Nicholas3ORCID,Singh Karan2ORCID,Jacobson Alec24ORCID

Affiliation:

1. The University of Tokyo, Tokyo, Japan

2. University of Toronto, Toronto, Canada

3. NVIDIA, Seattle, United States

4. Adobe Research, Toronto, Canada

Abstract

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.

Funder

JST ACT-X

Publisher

Association for Computing Machinery (ACM)

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