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Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets

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2020, Master of Mathematical Sciences, Ohio State University, Mathematical Sciences.
We discuss the Euler characteristic transform (ECT) as a method to model shapes in 2D digital images. We study the mathematical background of Euler characteristic transform based on cubical homology, and we review the recent works about Euler characteristic transform. We also exhibit the algorithms for Euler characteristic transform. Lastly, we conduct some distance-based clustering analysis, and we present some results in the end.
James Fowler (Advisor)
Sebastian Kurtek (Committee Member)
58 p.

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Citations

  • Jiang, Q. (2020). Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586387046539831

    APA Style (7th edition)

  • Jiang, Qitong. Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets. 2020. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1586387046539831.

    MLA Style (8th edition)

  • Jiang, Qitong. "Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets." Master's thesis, Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1586387046539831

    Chicago Manual of Style (17th edition)