A q-Extension of Sigmoid Functions and the Application for Enhancement of Ultrasound Images

Entropy

Paulo Sergio Rodrigues¹  Eduardo Coltri¹  Ricardo Morello Santos¹  Guilherme Wachs-Lopes¹  Gilson Antonio Giraldi² 

[1] Computer Science Department, Centro Universitário FEI, São Bernardo do Campo 09850-901, SP, Brazil;National Laboratory for Scientific Computing, Petrópolis 25651-075, RJ, Brazil;

关键词: contrast enhancement;    sigmoid;    Tsallis statistics;    q-exponential;    q-sigmoid;    q-Gaussian;    ultra-sound images;   

DOI  :  10.3390/e21040430

来源: DOAJ

【 摘 要 】

This paper proposes the q-sigmoid functions, which are variations of the sigmoid expressions and an analysis of their application to the process of enhancing regions of interest in digital images. These new functions are based on the non-extensive Tsallis statistics, arising in the field of statistical mechanics through the use of q-exponential functions. The potential of q-sigmoids for image processing is demonstrated in tasks of region enhancement in ultrasound images which are highly affected by speckle noise. Before demonstrating the results in real images, we study the asymptotic behavior of these functions and the effect of the obtained expressions when processing synthetic images. In both experiments, the q-sigmoids overcame the original sigmoid functions, as well as two other well-known methods for the enhancement of regions of interest: slicing and histogram equalization. These results show that q-sigmoids can be used as a preprocessing step in pipelines including segmentation as demonstrated for the Otsu algorithm and deep learning approaches for further feature extractions and analyses.

【 授权许可】

Unknown