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Region of Convergence of Laplace Tarnsform01:20

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The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
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An adaptive multilevel thresholding method with chaotically-enhanced Rao algorithm.

Yagmur Olmez1, Abdulkadir Sengur2, Gonca Ozmen Koca1

  • 1Department of Mechatronics Engineering, Faculty of Technology, University of Firat, 23119 Elazig, Turkey.

Multimedia Tools and Applications
|September 15, 2022
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Summary
This summary is machine-generated.

This study introduces Chaotic Enhanced Rao (CER) algorithms for multilevel image thresholding, improving segmentation speed and accuracy. The novel approach automates threshold determination, outperforming existing methods on the BSDS300 dataset.

Keywords:
Chaotic searchImage segmentationMetaheuristic methodsMultilevel thresholdingRao algorithm

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Area of Science:

  • Computer Vision
  • Image Processing
  • Optimization Algorithms

Background:

  • Multilevel image thresholding is crucial for image segmentation.
  • Existing metaheuristic methods are complex and slow.
  • Manual threshold determination limits practical application.

Purpose of the Study:

  • To develop a simplified multilevel image thresholding approach using a novel optimization technique.
  • To introduce Chaotic Enhanced Rao (CER) algorithms with automatic threshold number determination.
  • To evaluate CER algorithm performance against established methods.

Main Methods:

  • Development of Chaotic Enhanced Rao (CER) algorithms utilizing eight chaotic maps (Logistic, Sine, Sinusoidal, Gauss, Circle, Chebyshev, Singer, Tent).
  • Automatic determination of the number of thresholds.
  • Performance evaluation using statistical metrics (BDE, PRI, VOI, GCE, SSIM, FSIM, RMSE, PSNR, NK, AD, SC, MD, NAE) on the BSDS300 dataset.

Main Results:

  • The proposed CER algorithm demonstrated superior performance in image segmentation based on PRI, SSIM, FSIM, PSNR, RMSE, AD, and NAE metrics.
  • Experimental results confirmed the effectiveness of CER algorithms on the BSDS300 dataset.
  • The method achieved better convergence speed and accuracy compared to existing approaches.

Conclusions:

  • The developed CER algorithms offer an efficient and accurate solution for multilevel image thresholding.
  • Automatic threshold number determination simplifies the segmentation process.
  • The proposed method represents a significant advancement over traditional metaheuristic techniques.