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Physics Maths Engineering

Robust Evidence C-Means Clustering Combining Spatial Information for Image Segmentation

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Rong Lan,

Rong Lan

Xi’an University of Posts and Telecommunications

info@rnfinity.com


Haowen Mi,

Haowen Mi

Xi’an University of Posts and Telecommunications

1466403072@qq.com


Na Qu,

Na Qu

Xi’an University of Posts and Telecommunications

info@rnfinity.com


Feng Zhao,

Feng Zhao

Xi’an University of Posts and Telecommunications

info@rnfinity.com


Haiyan Yu,

Haiyan Yu

Xi’an University of Posts and Telecommunications

info@rnfinity.com


Lu Zhang

Lu Zhang

Xi’an University of Posts and Telecommunications

info@rnfinity.com


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© attribution CC-BY

  • 0

rating
820 Views

Added on

2023-05-16

Doi: https://doi.org/10.21203/rs.3.rs-2777151/v1

Related Subjects
Physics
Math
Chemistry
Computer science
Engineering
Earth science
Biology

Abstract

Abstract Although evidence c-means clustering (ECM) based on evidence theory overcomes the limitations of fuzzy theory to some extent and improves the capability of fuzzy c-means clustering (FCM) to express and process the uncertainty of information, the ECM does not consider the spatial information of pixels, which makes it to be unable to effectively deal with noise pixels. Applying ECM directly to image segmentation cannot obtain satisfactory results. This paper proposes a robust evidence c-means clustering combining spatial information for image segmentation algorithm. Firstly, an adaptive noise distance is constructed by using the local information of pixels to improve the ability to detect noise points. Secondly, the pixel’s original, local and non-local information are introduced into the objective function through adaptive weights to enhance the robustness to noise. Then, the entropy of pixel membership degree is used to design an adaptive parameter to solve the problem of distance parameter selection in credal c-means clustering (CCM). Finally, the Dempster’s rule of combination was improved by introducing spatial neighborhood information, which is used to assign the pixels belonging to the meta-cluster and the noise cluster into the singleton cluster. Experiments on synthetic images, real images and remote sensing SAR images demonstrate that the proposed algorithm not only suppress noise effectively, but also retain the details of the image. Both the segmentation visual effect and evaluation indexes indicate its effectiveness in image segmentation.

Key Questions

What is evidence c-means clustering (ECM)?

ECM is a clustering method based on evidence theory that improves upon fuzzy c-means clustering (FCM) by better handling uncertainty in data. However, traditional ECM doesn’t consider spatial information, making it less effective for noisy images.

What are the limitations of traditional ECM?

Traditional ECM doesn’t account for the spatial relationships between pixels, which makes it sensitive to noise and less effective for image segmentation tasks.

What is the proposed robust ECM method?

The proposed method enhances ECM by incorporating spatial information, adaptive noise detection, and improved Dempster’s rule of combination. This makes it more robust to noise and better at preserving image details.

How does the method handle noise in images?

The method uses:

  • An adaptive noise distance based on local pixel information to detect noise points.
  • Adaptive weights to integrate a pixel’s original, local, and non-local information into the clustering process.

What is the role of Dempster’s rule in this method?

Dempster’s rule is improved by incorporating spatial neighborhood information. This helps assign pixels from meta-clusters and noise clusters to singleton clusters, improving segmentation accuracy.

How are adaptive weights used in the method?

Adaptive weights balance the influence of a pixel’s original, local, and non-local information in the clustering process. This enhances the method’s robustness to noise while preserving image details.

What is the adaptive parameter for distance selection?

The method uses the entropy of pixel membership degrees to design an adaptive parameter. This solves the problem of selecting distance parameters in credal c-means clustering (CCM), making the method more flexible and accurate.

How was the method tested?

The method was tested on synthetic images, real images, and remote sensing SAR images. Results showed that it effectively suppresses noise while retaining image details, outperforming traditional ECM and other clustering methods.

What are the key advantages of this method?

The method:

  • Effectively handles noisy images by incorporating spatial information.
  • Preserves fine details in the image, improving segmentation quality.
  • Outperforms traditional ECM and other clustering methods in both visual results and evaluation metrics.

What are the practical applications of this method?

This method is useful for:

  • Medical imaging for segmenting tissues or organs.
  • Remote sensing for analyzing satellite or SAR images.
  • Computer vision for object detection and scene understanding.

How does this method compare to deep learning-based segmentation?

While deep learning methods require large labeled datasets, this method is more interpretable and doesn’t rely on extensive training. It is particularly effective for noisy images where deep learning might struggle without sufficient data.

What are the future directions for this research?

Future research could explore:

  • Extending the method to 3D image segmentation.
  • Integrating it with deep learning for hybrid models.
  • Applying it to real-time segmentation tasks in video or live imaging.

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ARTICLE USAGE


Article usage: May-2023 to May-2025
Show by month Manuscript Video Summary
2025 May 79 79
2025 April 58 58
2025 March 67 67
2025 February 53 53
2025 January 56 56
2024 December 53 53
2024 November 56 56
2024 October 64 64
2024 September 86 86
2024 August 74 74
2024 July 50 50
2024 June 30 30
2024 May 29 29
2024 April 50 50
2024 March 15 15
Total 820 820
Show by month Manuscript Video Summary
2025 May 79 79
2025 April 58 58
2025 March 67 67
2025 February 53 53
2025 January 56 56
2024 December 53 53
2024 November 56 56
2024 October 64 64
2024 September 86 86
2024 August 74 74
2024 July 50 50
2024 June 30 30
2024 May 29 29
2024 April 50 50
2024 March 15 15
Total 820 820
Related Subjects
Physics
Math
Chemistry
Computer science
Engineering
Earth science
Biology
copyright icon

© attribution CC-BY

  • 0

rating
820 Views

Added on

2023-05-16

Doi: https://doi.org/10.21203/rs.3.rs-2777151/v1

Related Subjects
Physics
Math
Chemistry
Computer science
Engineering
Earth science
Biology

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