Inverse Diffusion Curves using Shape Optimization

Shuang Zhao; Fredo Durand; Changxi Zheng

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arXiv · 1610.02769

Inverse Diffusion Curves using Shape Optimization

Shuang Zhao·Fredo Durand·Changxi Zheng

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Abstract

The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color fields via a partial differential equation (PDE). We introduce a new approach complementary to previous methods by optimizing curve geometry. In particular, we propose a novel iterative algorithm based on the theory of shape derivatives. The resulting diffusion curves are clean and well-shaped, and the final image closely approximates the input. Our method provides a user-controlled parameter to regularize curve complexity, and generalizes to handle input color fields represented in a variety of formats.

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BibTeX RIS

Shuang Zhao, Fredo Durand, Changxi Zheng. 2016-10-10. Inverse Diffusion Curves using Shape Optimization. https://arxiv.org/abs/1610.02769

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