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Thesis.pdf (1.03 MB)
ETD Abstract Container
Abstract Header
Euler Characteristic Transform of Shapes in 2D Digital Images as Cubical Sets
Author Info
Jiang, Qitong
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1586387046539831
Abstract Details
Year and Degree
2020, Master of Mathematical Sciences, Ohio State University, Mathematical Sciences.
Abstract
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.
Committee
James Fowler (Advisor)
Sebastian Kurtek (Committee Member)
Pages
58 p.
Subject Headings
Mathematics
;
Statistics
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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)
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Document number:
osu1586387046539831
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© 2020, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.