A novel Kaniadakis entropy-based multilevel thresholding using energy curve and Black Widow optimization algorithm with Gaussian mutation

Bibekananda Jena, M. K. Naik, Rutuprana Panda
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Abstract

In this research, Kaniadakis entropy (KE) derived from the energy curve is adopted to construct an objective function for the thresholding of images at various levels. In addition to the histogram's property, the energy curve maintains the image's spatial contextual information. This additional data aids in the threshold selection process, resulting in a more accurate segmented image. To optimize the objective function, a new Black widow optimization with a gaussian mutation algorithm (BWOG) is also proposed in this paper with enhanced population diversity by incorporating an additional stage of powerful Gaussian mutation and random allocation of solutions using a levy flight mechanism in BWO. The proposed Kaniadakis entropy-based multilevel thresholding selection using energy curve and Black Widow optimization algorithm with Gaussian mutation (BWOG-KE) is performed on both grayscale and color images of different modalities and dimensions. Based on the quantitative measures: PSNR, the BWOG-KE is found superior to existing well-known methods. The results proposed method are further compared with minimum cross-entropy (MCE) based and Kapur's entropy-based thresholding and found a significant level of dominance over them.
基于能量曲线和高斯突变黑寡妇优化算法的Kaniadakis熵多层阈值分割
本研究采用能量曲线衍生的Kaniadakis熵(KE)构造目标函数,对不同层次的图像进行阈值分割。除了直方图的属性外,能量曲线还保持了图像的空间上下文信息。这些额外的数据有助于阈值选择过程,从而产生更准确的分割图像。为了优化目标函数,本文还提出了一种新的黑寡妇高斯突变优化算法(BWOG),该算法通过在黑寡妇高斯突变算法中加入一个强大的高斯突变阶段和利用征费飞行机制随机分配解来增强种群多样性。基于能量曲线和高斯突变黑寡妇优化算法(BWOG-KE)对不同模态和维数的灰度和彩色图像进行了基于Kaniadakis熵的多级阈值选择。基于PSNR的定量测量,BWOG-KE方法优于现有的已知方法。将该方法与基于最小交叉熵(MCE)的阈值法和基于Kapur熵的阈值法进行了比较,发现该方法具有显著的优势。
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