Diffusion curves

Solving Diffusion Curves on GPU

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Inverse Diffusion Curves using Shape Optimization

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 p...

Interpolatory Subdivision Curves via Diffusion of Normals

In this paper, we propose a new interpolatory subdivision scheme for generating nice-looking curvature-continuous curves of round shapes. The scheme is based on a diffusion of normals. Given a subdivided polyline, the new polyline vertices inserted at the the splitting step are updated in order to fit diffused (averaged with appropriate weights) normals. Although the resulting interpolatory sub...

Reaction-Diffusion in a Closed Domain Formed by Irregular Curves

A Vectorial Framework for Ray Traced Diffusion Curves

Diffusion curves allow creating complex, smoothly shaded images by diffusing colors defined at curves. These methods typically require the solution of a global optimization problem (over either the pixel grid or an intermediate tessellated representation) to produce the final image, making fully parallel implementation challenging. An alternative approach, inspired by global illumination, uses ...