Journal of Robotics, Networking and Artificial Life

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Volume 4, Issue 4, March 2018, Pages 312 - 316

Regression Analysis Based Variance Estimation of Gaussian Distribution for Histogram Matching

Authors
Yusuke Kawakami, Tetsuo Hattori, Yoshiro Imai, Kazuaki Ando, Yo Horikawa, R. P. C. Janaka Rajapakse
Corresponding Author
Yusuke Kawakami
Available Online 31 March 2018.
DOI
10.2991/jrnal.2018.4.4.12How to use a DOI?
Keywords
Image processing, Cumulative histogram, Curvature, Variance estimation, Histogram matching
Abstract

This paper describes an improved method of the variance estimation of Gaussian distribution for Histogram Matching based on Gaussian Distribution (HMGD). In our previous paper, focusing on the symmetry of the Gaussian function, we presented another method for the variance (or Gaussian width) estimation of Gaussian distribution in the original histogram. However, since the real shape of mountain like Gaussian function in the original image’s histogram does not always show the good symmetry, the variance estimation method that we previously presented did not work so well as we expected. In this paper, we newly propose the improved estimation method using regression analysis, based on curvature computation for the cumulative histogram of original image’s one. In the newly proposed method, first, we detect the histogram peak of original image’s histogram by using curvature computation; next, we perform the regression analysis for the cumulative histogram, using an approximated function of the curvature that includes the variance parameter. Also in this paper, we show some experimental results by the estimation method.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Robotics, Networking and Artificial Life
Volume-Issue
4 - 4
Pages
312 - 316
Publication Date
2018/03/31
ISSN (Online)
2352-6386
ISSN (Print)
2405-9021
DOI
10.2991/jrnal.2018.4.4.12How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Yusuke Kawakami
AU  - Tetsuo Hattori
AU  - Yoshiro Imai
AU  - Kazuaki Ando
AU  - Yo Horikawa
AU  - R. P. C. Janaka Rajapakse
PY  - 2018
DA  - 2018/03/31
TI  - Regression Analysis Based Variance Estimation of Gaussian Distribution for Histogram Matching
JO  - Journal of Robotics, Networking and Artificial Life
SP  - 312
EP  - 316
VL  - 4
IS  - 4
SN  - 2352-6386
UR  - https://doi.org/10.2991/jrnal.2018.4.4.12
DO  - 10.2991/jrnal.2018.4.4.12
ID  - Kawakami2018
ER  -