The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis
We define the Pascal triangle of a discrete (gray scale) image as a pyramidal arrangement of complex-valued moments and we explore its geometric significance. In particular, we show that the entries of row k of this triangle correspond to the Fourier series coefficients of the moment of order k of t...
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Date: | 2013 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2013
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149235 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis / M. Boutin, S. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 8 назв. — англ. |