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.

Compared to commercial software, our approach yields more interpretable and efficienct vector graphics.

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.

Our approach produces vector graphics with high fidelity.

References

(He et al., 2023)

References

2023

  1. Binary shape vectorization by affine scale-space
    Yuchen He, Sung Ha Kang, and Jean-Michel Morel
    Image Processing On Line, 2023
  2. Topology-and perception-aware image vectorization
    Yuchen He, Sung Ha Kang, and Jean-Michel Morel
    Journal of Mathematical Imaging and Vision, 2023

2022

  1. Silhouette vectorization by affine scale-space
    Yuchen He, Sung Ha Kang, and Jean-Michel Morel
    Journal of Mathematical Imaging and Vision, 2022

2021

  1. Accurate silhouette vectorization by affine scale-space
    Yuchen He, Sung Ha Kang, and Jean-Michel Morel
    In 2021 IEEE International Conference on Image Processing (ICIP), 2021