The Gray Segmentation of Color Image Based on Level Set Method

Wang Wenjie; Feng Jianhu

doi:doi:10.11648/j.mcs.20160104.12

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The Gray Segmentation of Color Image Based on Level Set Method

Wang Wenjie, Feng Jianhu

Published in Mathematics and Computer Science (Volume 1, Issue 4)

Received: 4 July 2016 Accepted: 20 July 2016 Published: 18 October 2016

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Abstract

Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method is stable and it can deal with the case of the topology change，and it can advance the accuracy of image segmentation.

Published in	Mathematics and Computer Science (Volume 1, Issue 4)
DOI	10.11648/j.mcs.20160104.12
Page(s)	82-85
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Colored Image to Gray Image, Level Set Method, Gradient Domain, Image Segmentation

References

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[2]	Luo Xiping, Tian Jie. An overview of image segmentation methods [J]. Pattern recognition and artificial intelligence, 1999, 9 (3); 300-312 (in Chinese).
[3]	Xiao Chaoyun, Zhu Weixing. Threshold segmentation algorithm based on Otsu criterion and image entropy [J]. Computer Engineering, 2007, 33 (14): 188-190 (in Chinese).
[4]	Chan T F, Vese L A. Active Contours Without Edges [J]. IEEE Trans on Image Processing, 2001, 10 (2): 266-277.
[5]	You Jianjie, Zhou Zeming, Pheng Ann Heng，et al. Simulated Annealing Based Simplified Snakes for Weak Edge Medical Image Segmention [J]. Journal of Image and Graphics, 2004, 9 (1): 11-17.
[6]	Osher S., Sethian J. A. Front propagating withcurvature-Dependent Speed: Algorithm based on Hamilton-Jacobin Formulation [J]. Computational physics, 1988 (79): 12-49.
[7]	Fattal R., Lischinski D., Werman M., Gradient Domain High Dynamic Range Compression [J], Proc, ACM Siggraph 2002, 21 (3), 249-256.
[8]	Zhou Bingfeng, Zhang Weixiang. A method based on gradient domain for color image to gray level image, image technology, 2007 (3), 20-22 (in Chinese).
[9]	Chan T., Vese L., Active contours without edges [J]. IEEE Transaction Image Processing, 2001, 10 (2): 266-277.
[10]	Wang Xiaofeng, Doctoral thesis, Univercity of Science and Technology of China, 2009, 55-57 (in Chinese)
[11]	Wang Wenjie, Feng Jianhu. Image segmentation based on variational Set Level method, computer engineering and applications, 2006 (18): 68-18 (in Chinese).

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APA Style

Wang Wenjie, Feng Jianhu. (2016). The Gray Segmentation of Color Image Based on Level Set Method. Mathematics and Computer Science, 1(4), 82-85. https://doi.org/10.11648/j.mcs.20160104.12

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ACS Style

Wang Wenjie; Feng Jianhu. The Gray Segmentation of Color Image Based on Level Set Method. Math. Comput. Sci. 2016, 1(4), 82-85. doi: 10.11648/j.mcs.20160104.12

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AMA Style

Wang Wenjie, Feng Jianhu. The Gray Segmentation of Color Image Based on Level Set Method. Math Comput Sci. 2016;1(4):82-85. doi: 10.11648/j.mcs.20160104.12

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@article{10.11648/j.mcs.20160104.12,
  author = {Wang Wenjie and Feng Jianhu},
  title = {The Gray Segmentation of Color Image Based on Level Set Method},
  journal = {Mathematics and Computer Science},
  volume = {1},
  number = {4},
  pages = {82-85},
  doi = {10.11648/j.mcs.20160104.12},
  url = {https://doi.org/10.11648/j.mcs.20160104.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20160104.12},
  abstract = {Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method is stable and it can deal with the case of the topology change，and it can advance the accuracy of image segmentation.},
 year = {2016}
}

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TY  - JOUR
T1  - The Gray Segmentation of Color Image Based on Level Set Method
AU  - Wang Wenjie
AU  - Feng Jianhu
Y1  - 2016/10/18
PY  - 2016
N1  - https://doi.org/10.11648/j.mcs.20160104.12
DO  - 10.11648/j.mcs.20160104.12
T2  - Mathematics and Computer Science
JF  - Mathematics and Computer Science
JO  - Mathematics and Computer Science
SP  - 82
EP  - 85
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20160104.12
AB  - Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method is stable and it can deal with the case of the topology change，and it can advance the accuracy of image segmentation.
VL  - 1
IS  - 4
ER  -

Copy | Download

Author Information

Wang Wenjie

College of Science, Chang’an University, Xi’an, China
Feng Jianhu

College of Science, Chang’an University, Xi’an, China

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Plain Text BibTeX RIS

APA Style

Wang Wenjie, Feng Jianhu. (2016). The Gray Segmentation of Color Image Based on Level Set Method. Mathematics and Computer Science, 1(4), 82-85. https://doi.org/10.11648/j.mcs.20160104.12

Copy | Download

ACS Style

Wang Wenjie; Feng Jianhu. The Gray Segmentation of Color Image Based on Level Set Method. Math. Comput. Sci. 2016, 1(4), 82-85. doi: 10.11648/j.mcs.20160104.12

Copy | Download

AMA Style

Wang Wenjie, Feng Jianhu. The Gray Segmentation of Color Image Based on Level Set Method. Math Comput Sci. 2016;1(4):82-85. doi: 10.11648/j.mcs.20160104.12

Copy | Download

@article{10.11648/j.mcs.20160104.12,
  author = {Wang Wenjie and Feng Jianhu},
  title = {The Gray Segmentation of Color Image Based on Level Set Method},
  journal = {Mathematics and Computer Science},
  volume = {1},
  number = {4},
  pages = {82-85},
  doi = {10.11648/j.mcs.20160104.12},
  url = {https://doi.org/10.11648/j.mcs.20160104.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20160104.12},
  abstract = {Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method is stable and it can deal with the case of the topology change，and it can advance the accuracy of image segmentation.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - The Gray Segmentation of Color Image Based on Level Set Method
AU  - Wang Wenjie
AU  - Feng Jianhu
Y1  - 2016/10/18
PY  - 2016
N1  - https://doi.org/10.11648/j.mcs.20160104.12
DO  - 10.11648/j.mcs.20160104.12
T2  - Mathematics and Computer Science
JF  - Mathematics and Computer Science
JO  - Mathematics and Computer Science
SP  - 82
EP  - 85
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20160104.12
AB  - Firstly, the flaw of usual colored image to gray was discussed. And a new method of colored image to gray based on gradient domain was proposed. Secondly, the gray image was segmented using the level set method. Finally, it was compared the method of this paper with the traditional level set method. The numerical examples shown that the new method is stable and it can deal with the case of the topology change，and it can advance the accuracy of image segmentation.
VL  - 1
IS  - 4
ER  -

Copy | Download