Tsallis cross-entropy based framework for image segmentation with histogram thresholding

Nie, Fangyan

doi:10.1117/1.jei.24.1.013002

Cited by 8 publications

(3 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, q-exponential and r-exponential functions do not require such restriction. For instance, q > 3 was evaluated in psychophysical data, image analysis, perceptual computing, and detection and location of mean level-shifts in noise [38,39,40,41]. In our case, we attribute the existence of q > 3 or r > 3 to a relaxation process already suggested in studies involving stock markets and solar winds at the distant heliosphere, respectively [42,43,44].…”

Section: Discussionmentioning

confidence: 75%

Statistical crossover and nonextensive behavior of neuronal short-term depression

2017

View full text Add to dashboard Cite

The theoretical basis of neuronal coding, associated with short term degradation in synaptic transmission, is a matter of debate in the literature. In fact, electrophysiological signals are commonly characterized as inversely proportional to stimulus intensity. Among theoretical descriptions of this phenomenon, models based on 1/f -dependency are employed to investigate the biophysical properties of the short term synaptic depression. In this work we formulated a model based on a paradigmatic q-differential equation to obtain a generalized formalism useful for investigation of nonextensivity in this specific type of synaptic plasticity. Our analysis reveals nonextensivity in data from electrophysiological recordings and also a statistical crossover in neurotransmission. In particular, statistical transitions providesadditional support to the hypothesis of heterogeneous release probability of neurotransmitters. On the other hand, the simple vesicle model agrees with data only at low frequency stimulations. Thus, the present work presents a method to demonstrate that short-term depression is not only governed by random mechanisms but also by a nonextensive behavior. Our findings also conciliate morphological and electrophysiological investigations into a coherent biophysical scenario.

show abstract

Section: Discussionmentioning

confidence: 75%

Statistical crossover and nonextensive behavior of neuronal short-term depression

2017

View full text Add to dashboard Cite

show abstract

“…For example, in [ 13 ] a multi-thresholding scheme is used which is based on segmentation of subsets of bands. In [ 14 ], Nie introduced an algorithm which aims to minimize the Tsallis cross-entropy between the original image and the thresholded image.…”

Section: Methodsmentioning

confidence: 99%

Low Price Foot Pressure Distribution Screening Technique: Optical Podoscope with Accurate Foot Print Segmentation using Hidden Markov Random Field Model

et al. 2018

View full text Add to dashboard Cite

Background: Foot pressure assessment systems are widely used to diagnose foot pathologies. Human foot plays an important role in maintaining the biomechanical function of the lower extremities which includes provision of balance and stabilization of the body during gait.Objective: There are different types of assessment tools with different capabilities which are discussed in detail in this paper. In this project, we introduce a new camera-based pressure distribution estimation system which can give a numerical estimation in addition to giving a visual illustration of pressure distribution of the sole.Material and Methods: In the first step, an image is captured from the traditional Podoscope devices. Then, HMRFEM image segmentation scheme is implemented to extract the contacting part of the sole to the ground. Finally, based on a simple calibration method, per mm2 pressure is estimated to give an accurate pressure distribution measure.Results: A significant and usable estimation of foot pressure has been introduced in this article. The main drawback of introduced systems is low resolution of sensors which is solved using a high resolution camera as a sensor. Another problem is patchy edge extracted by the systems which is automatically solved in the proposed device using an accurate image segmentation algorithm. Also the LCE, GCE and BCE measures demonstrate that lowest error rates are obtained with HMRF segmentation method.Conclusion: we introduced a camera-based plantar pressure assessment tool which uses we introduced a camera-based plantar pressure assessment tool which uses HMRF-EM-based method has been explained in more detail which gives a brilliant sole segmentation from the captured images. Most of the marketable measurement systems use electronic sensors to estimate the pressure distribution, but here we used the captured image and grayscale levels to compute a per pixel pressure which can be converted to N/mm2 scale.

show abstract

“…Entropies can be used as a measure of dissimilarity or inverse cohesion between two (or more) probability distributions [25]. For example, in [26], a thresholding scheme is proposed to minimize the Tsallis cross-entropy between the original image and the thresholded image. Then, the contours of the objects are obtained.…”

Section: Introductionmentioning

confidence: 99%

A Novel Fuzzy Level Set Approach for Image Contour Detection

Zhang¹,

Xu²,

Cheng³

2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The level set methods have provided powerful frameworks for image segmentation. However, to obtain accurate boundaries of the objects, especially when they have weak edges or inhomogeneous intensities, is still a very challenging task. Actually, we have studied the popular existing level set approaches and discovered that they failed to segment the images with weak edges or inhomogeneous intensities in many cases. The weak/blurry edges and inhomogeneous intensities cause uncertainty and fuzziness for segmentation. In this paper, a novel fuzzy level set approach is proposed. At first,S-function based on the maximum fuzzy entropy principle (MEP) is used to map the image from space domain to fuzzy domain. Then, an energy function is formulated according to the differences between the actual and estimated probability densities of the intensities in different regions. A partial differential equation is derived for finding the minimum of the energy function. The proposed approach has been tested on both synthetic images and real images and evaluated by several popular metrics. The experimental results demonstrate that the proposed approach can locate the true object boundaries, even for objects with blurry boundaries, low contrast, and inhomogeneous intensities.

show abstract

Tsallis cross-entropy based framework for image segmentation with histogram thresholding

Cited by 8 publications

References 34 publications

Statistical crossover and nonextensive behavior of neuronal short-term depression

Statistical crossover and nonextensive behavior of neuronal short-term depression

Low Price Foot Pressure Distribution Screening Technique: Optical Podoscope with Accurate Foot Print Segmentation using Hidden Markov Random Field Model

A Novel Fuzzy Level Set Approach for Image Contour Detection

Contact Info

Product

Resources

About