Singularity-Free Frame Fields for Line Drawing Vectorization
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
State-of-the-art methods for line drawing vectorization rely on generated frame fields for robust direction disambiguation, with each of the two axes aligning to different intersecting curve tangents around junctions. However, a common source of topological error for such methods are frame field singularities. To remedy this, we introduce the first frame field optimization framework guaranteed to produce singularity-free fields aligned to a line drawing. We first perform a convex solve for a roughly-aligned orthogonal frame field (cross field), and then comb away its internal singularities with an optimal transport–based matching. The resulting topology of the field is strictly maintained with the machinery of discrete trivial connections in a final, non-convex optimization that allows non-orthogonality of the field, improving smoothness and tangent alignment. Our frame fields can serve as a drop-in replacement for frame field optimizations used in previous work, improving the quality of the final vectorizations.
Description
CCS Concepts: Computing methodologies -> Parametric curve and surface models; Shape analysis
@article{10.1111:cgf.14901,
journal = {Computer Graphics Forum},
title = {{Singularity-Free Frame Fields for Line Drawing Vectorization}},
author = {Guțan, Olga and Hegde, Shreya and Berumen, Erick Jimenez and Bessmeltsev, Mikhail and Chien, Edward},
year = {2023},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.14901}
}