Image Triangulation Using the Sobel Operator for Vertex Selection (Media Exposition)

Authors Olivia X. Laske, Lori Ziegelmeier



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Author Details

Olivia X. Laske
  • Department of Mathematics, Statistics, and Computer Science, Macalester College, St. Paul, MN, USA
Lori Ziegelmeier
  • Department of Mathematics, Statistics, and Computer Science, Macalester College, St. Paul, MN, USA

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Olivia X. Laske and Lori Ziegelmeier. Image Triangulation Using the Sobel Operator for Vertex Selection (Media Exposition). In 40th International Symposium on Computational Geometry (SoCG 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 293, pp. 91:1-91:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.SoCG.2024.91

Abstract

Image triangulation, the practice of decomposing images into triangles, deliberately employs simplification to create an abstracted representation. While triangulating an image is a relatively simple process, difficulties arise when determining which vertices produce recognizable and visually pleasing output images. With the goal of producing art, we discuss an image triangulation algorithm in Python that utilizes Sobel edge detection and point cloud sparsification to determine final vertices for a triangulation, resulting in the creation of artistic triangulated compositions.

Subject Classification

ACM Subject Classification
  • Computing methodologies → Image processing
Keywords
  • Image Triangulation
  • Sharpening
  • Sobel Edge Detection
  • Delaunay Triangulation

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References

  1. Olivia X. Laske and Lori Ziegelmeier. OliviaLaske/ImageTriangulation. Software, swhId: https://archive.softwareheritage.org/swh:1:dir:9ffab16fab1c54439e4641ae8167740d984993b8;origin=https://github.com/OliviaLaske/ImageTriangulation;visit=swh:1:snp:19a7dc185c4ffd416a264dcdbf1d71344ea48620;anchor=swh:1:rev:f3593de856785f90f66d888f62678400851ba223, (visited on 21/05/2024). URL: https://github.com/OliviaLaske/ImageTriangulation.
  2. Laske, Olivia. Source code, Image Triangulation. https://github.com/OliviaLaske/ImageTriangulation, 2024. Accessed March 2024.
  3. Kai Lawonn and Tobias Günther. Stylized image triangulation. Computer Graphics Forum, 38(1):221-234, 2019. URL: https://onlinelibrary.wiley.com/doi/pdf/10.1111/cgf.13526.
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  6. Tuan D. Pham. Kriging-weighted laplacian kernels for grayscale image sharpening. IEEE Access, 10:57094-57106, 2022. URL: https://doi.org/10.1109/ACCESS.2022.3178607.
  7. Simo, Endre. Delaunay Image Triangulation. https://www.esimov.com/2019/04/image-triangulation-in-go, 2019. Accessed March 2024.
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