Image Vectorization and Shape Analysis
Variational models for resolution-independent image representation
Image vectorization converts raster images into parametric representations that faithfully encode their prominent geometric features. Unlike pixel-based formats, vector representations are resolution-independent, scale-invariant, and amenable to geometric analysis. We develop variational methods that produce interpretable and compact parametric descriptions of image content, with applications in digital illustration, geometric analysis of discrete objects, and scalable rendering. —
Shape Vectorization by Affine Shortening Flow
We leverage affine shortening flow to remove pixelization artifacts while preserving the scale-invariant geometric features of image contours.
References
(He et al., 2023) (He et al., 2022) (He et al., 2021)
Topological-aware Color Image Vectorization
By careful analysis of local topological patterns in raster images, we develop a surgical strategy for image vectorization that preserves prominent singularities with high fidelity.
References
References
2023
- Binary shape vectorization by affine scale-spaceImage Processing On Line, 2023
- Topology-and perception-aware image vectorizationJournal of Mathematical Imaging and Vision, 2023
2022
- Silhouette vectorization by affine scale-spaceJournal of Mathematical Imaging and Vision, 2022
2021
- Accurate silhouette vectorization by affine scale-spaceIn 2021 IEEE International Conference on Image Processing (ICIP), 2021