Year: 2009
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 4 : pp. 445–468
Abstract
In this paper, we present an efficient approach for unsupervised segmentation of natural and textural images based on the extraction of image features and a fast active contour segmentation model. We address the problem of textures where neither the gray-level information nor the boundary information is adequate for object extraction. This is often the case of natural images composed of both homogeneous and textured regions. Because these images cannot be in general directly processed by the gray-level information, we propose a new texture descriptor which intrinsically defines the geometry of textures using semi-local image information and tools from differential geometry. Then, we use the popular Kullback-Leibler distance to design an active contour model which distinguishes the background and textures of interest. The existence of a minimizing solution to the proposed segmentation model is proven. Finally, a texture segmentation algorithm based on the Split-Bregman method is introduced to extract meaningful objects in a fast way. Promising synthetic and real-world results for gray-scale and color images are presented.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2009.m9007s
Numerical Mathematics: Theory, Methods and Applications, Vol. 2 (2009), Iss. 4 : pp. 445–468
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Semi-local image information Beltrami framework metric tensor active contour Kullback-Leibler distance split-Bregman method.
-
A fast segmentation method based on constraint optimization and its applications: Intensity inhomogeneity and texture segmentation
Liu, Jun | Tai, Xue-cheng | Huang, Haiyang | Huan, ZhongdanPattern Recognition, Vol. 44 (2011), Iss. 9 P.2093
https://doi.org/10.1016/j.patcog.2011.02.022 [Citations: 27] -
Segmentation of Ischemic Stroke Lesion in Brain MRI Based on Social Group Optimization and Fuzzy-Tsallis Entropy
Rajinikanth, V. | Satapathy, Suresh ChandraArabian Journal for Science and Engineering, Vol. 43 (2018), Iss. 8 P.4365
https://doi.org/10.1007/s13369-017-3053-6 [Citations: 102] -
Texture-and-Shape Based Active Contour Model for Insulator Segmentation
Yu, Yajie | Cao, Hui | Wang, Zhuzhu | Li, Yuqiao | Li, Kang | Xie, ShengquanIEEE Access, Vol. 7 (2019), Iss. P.78706
https://doi.org/10.1109/ACCESS.2019.2922257 [Citations: 26] -
Fast Obstacle Detection for Monocular Autonomous Mobile Robots
Kaneko, Naoshi | Yoshida, Takeshi | Sumi, KazuhikoSICE Journal of Control, Measurement, and System Integration, Vol. 10 (2017), Iss. 5 P.370
https://doi.org/10.9746/jcmsi.10.370 [Citations: 3] -
Left ventricle Hermite-based segmentation
Olveres, Jimena | Nava, Rodrigo | Escalante-Ramírez, Boris | Vallejo, Enrique | Kybic, JanComputers in Biology and Medicine, Vol. 87 (2017), Iss. P.236
https://doi.org/10.1016/j.compbiomed.2017.05.025 [Citations: 6] -
Split Bregman Method for Minimization of Fast Multiphase Image Segmentation Model for Inhomogeneous Images
Yang, Yunyun | Zhao, Yi | Wu, BoyingJournal of Optimization Theory and Applications, Vol. 166 (2015), Iss. 1 P.285
https://doi.org/10.1007/s10957-014-0597-4 [Citations: 10] -
Intelligent Multidimensional Data and Image Processing
Evaluation of Ischemic Stroke Region From CT/MR Images Using Hybrid Image Processing Techniques
Satapathy, Suresh Chandra | Dey, Nilanjan | Lin, Hong2018
https://doi.org/10.4018/978-1-5225-5246-8.ch007 [Citations: 14] -
Active contour evolved by joint probability classification on Riemannian manifold
Ge, Qi | Shen, Fumin | Jing, Xiao-Yuan | Wu, Fei | Xie, Shi-Peng | Yue, Dong | Li, Hai-BoSignal, Image and Video Processing, Vol. 10 (2016), Iss. 7 P.1257
https://doi.org/10.1007/s11760-016-0891-8 [Citations: 4] -
Global variational method for fingerprint segmentation by three-part decomposition
Thai, Duy Hoang | Gottschlich, CarstenIET Biometrics, Vol. 5 (2016), Iss. 2 P.120
https://doi.org/10.1049/iet-bmt.2015.0010 [Citations: 29] -
A new combination active contour model for segmenting texture image with low contrast and high illumination variations
Vard, Alireza
Multimedia Tools and Applications, Vol. 77 (2018), Iss. 15 P.20021
https://doi.org/10.1007/s11042-017-5427-x [Citations: 1] -
Interactive Image Segmentation of MARS Datasets Using Bag of Features
Kanithi, Praveenkumar | de Ruiter, Niels J. A. | Amma, Maya R. | Lindeman, Robert W. | Butler, Anthony P. H. | Butler, Philip H. | Chernoglazov, Alexander I. | Mandalika, V. B. H. | Adebileje, Sikiru A. | Alexander, Steven D. | Anjomrouz, Marzieh | Asghariomabad, Fatemeh | Atharifard, Ali | Atlas, James | Bamford, Benjamin | Bell, Stephen T. | Bheesette, Srinidhi | Carbonez, Pierre | Chambers, Claire | Clark, Jennifer A. | Colgan, Frances | Crighton, Jonathan S. | Dahal, Shishir | Damet, Jerome | Doesburg, Robert M. N. | Duncan, Neryda | Ghodsian, Nooshin | Gieseg, Steven P. | Goulter, Brian P. | Gurney, Sam | Healy, Joseph L. | Kirkbride, Tracy | Lansley, Stuart P. | Lowe, Chiara | Marfo, Emmanuel | Matanaghi, Aysouda | Moghiseh, Mahdieh | Palmer, David | Panta, Raj K. | Prebble, Hannah M. | Raja, Aamir Y. | Renaud, Peter | Sayous, Yann | Schleich, Nanette | Searle, Emily | Sheeja, Jereena S. | Uddin, Rayhan | Broeke, Lieza Vanden | Vivek, V. S. | Walker, E. Peter | Walsh, Michael F. | Wijesooriya, Manoj | Younger, W. RossIEEE Transactions on Radiation and Plasma Medical Sciences, Vol. 5 (2021), Iss. 4 P.559
https://doi.org/10.1109/TRPMS.2020.3030045 [Citations: 0] -
Local‐ and Global‐Statistics‐Based Active Contour Model for Image Segmentation
Wu, Boying | Yang, Yunyun | Pellicano, FrancescoMathematical Problems in Engineering, Vol. 2012 (2012), Iss. 1
https://doi.org/10.1155/2012/791958 [Citations: 21] -
Saliency and KAZE features assisted object segmentation
Mukherjee, Prerana | Lall, BrejeshImage and Vision Computing, Vol. 61 (2017), Iss. P.82
https://doi.org/10.1016/j.imavis.2017.02.008 [Citations: 19] -
Unsupervised segmentation of colonic polyps in narrow-band imaging data based on manifold representation of images and Wasserstein distance
Figueiredo, Isabel N. | Pinto, Luís | Figueiredo, Pedro N. | Tsai, RichardBiomedical Signal Processing and Control, Vol. 53 (2019), Iss. P.101577
https://doi.org/10.1016/j.bspc.2019.101577 [Citations: 8] -
Interactive Image Segmentation Based on Level Sets of Probabilities
IEEE Transactions on Visualization and Computer Graphics, Vol. 18 (2012), Iss. 2 P.202
https://doi.org/10.1109/TVCG.2011.77 [Citations: 41] -
Unsupervised active contours driven by density distance and local fitting energy with applications to medical image segmentation
Shyu, Kuo-Kai | Pham, Van-Truong | Tran, Thi-Thao | Lee, Po-LeiMachine Vision and Applications, Vol. 23 (2012), Iss. 6 P.1159
https://doi.org/10.1007/s00138-011-0373-5 [Citations: 17] -
A Monocular Vision Sensor-Based Obstacle Detection Algorithm for Autonomous Robots
Lee, Tae-Jae | Yi, Dong-Hoon | Cho, Dong-IlSensors, Vol. 16 (2016), Iss. 3 P.311
https://doi.org/10.3390/s16030311 [Citations: 33] -
A convolutional Riemannian texture model with differential entropic active contours for unsupervised pest detection
Dai, Shuanglu | Man, Hong2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), (2017), P.1028
https://doi.org/10.1109/ICASSP.2017.7952312 [Citations: 7] -
Advances in Visual Computing
Split Bregman Method for Minimization of Region-Scalable Fitting Energy for Image Segmentation
Yang, Yunyun | Li, Chunming | Kao, Chiu-Yen | Osher, Stanley2010
https://doi.org/10.1007/978-3-642-17274-8_12 [Citations: 36] -
Segmentation and Measurement of Chronic Wounds for Bioprinting
Gholami, Peyman | Ahmadi-pajouh, Mohammad Ali | Abolftahi, Nabiollah | Hamarneh, Ghassan | Kayvanrad, MohammadIEEE Journal of Biomedical and Health Informatics, Vol. 22 (2018), Iss. 4 P.1269
https://doi.org/10.1109/JBHI.2017.2743526 [Citations: 25] -
Scale Space and Variational Methods in Computer Vision
Segmenting MR Images Through Texture Extraction and Multiplicative Components Optimization
Antonelli, Laura | De Simone, Valentina | Viola, Marco2023
https://doi.org/10.1007/978-3-031-31975-4_39 [Citations: 0] -
Convex spatio-temporal segmentation of the endocardium in ultrasound data using distribution and shape priors
Hansson, Mattias | Fundana, Ketut | Brandt, Sami S. | Gudmundsson, Petri2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, (2011), P.626
https://doi.org/10.1109/ISBI.2011.5872485 [Citations: 1] -
Cartoon-texture evolution for two-region image segmentation
Antonelli, Laura | De Simone, Valentina | Viola, MarcoComputational Optimization and Applications, Vol. 84 (2023), Iss. 1 P.5
https://doi.org/10.1007/s10589-022-00387-7 [Citations: 4] -
Using Super-Pixels and Human Probability Map for Automatic Human Subject Segmentation
POURJAM, Esmaeil | DEGUCHI, Daisuke | IDE, Ichiro | MURASE, HiroshiIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E99.A (2016), Iss. 5 P.943
https://doi.org/10.1587/transfun.E99.A.943 [Citations: 0] -
Spatially Adaptive Regularization in Image Segmentation
Antonelli, Laura | De Simone, Valentina | di Serafino, DanielaAlgorithms, Vol. 13 (2020), Iss. 9 P.226
https://doi.org/10.3390/a13090226 [Citations: 10] -
Intelligent Computing Theories and Application
Active Contour Integrating Patch-Level and Pixel-Level Features
Mao, Xinyue | Chen, Yufei | Liu, Xianhui | Zhao, Weidong2017
https://doi.org/10.1007/978-3-319-63309-1_33 [Citations: 0] -
Texture segmentation based on local feature histograms
Ma, Liyan | Yu, Jian2011 18th IEEE International Conference on Image Processing, (2011), P.3349
https://doi.org/10.1109/ICIP.2011.6116390 [Citations: 4] -
Multiphase segmentation for simultaneously homogeneous and textural images
Thai, Duy Hoang | Mentch, LucasApplied Mathematics and Computation, Vol. 335 (2018), Iss. P.146
https://doi.org/10.1016/j.amc.2018.04.023 [Citations: 1] -
Fast and Accurate Target Detection Based on Multiscale Saliency and Active Contour Model for High-Resolution SAR Images
Tu, Song | Su, YiIEEE Transactions on Geoscience and Remote Sensing, Vol. 54 (2016), Iss. 10 P.5729
https://doi.org/10.1109/TGRS.2016.2571309 [Citations: 32] -
Multi-Phase Texture Segmentation Using Gabor Features Histograms Based on Wasserstein Distance
Qiao, Motong | Wang, Wei | Ng, MichaelCommunications in Computational Physics, Vol. 15 (2014), Iss. 5 P.1480
https://doi.org/10.4208/cicp.061212.111013a [Citations: 2] -
Fast and Robust Active Contours Model for Image Segmentation
Li, Yupeng | Cao, Guo | Yu, Qian | Li, XuesongNeural Processing Letters, Vol. 49 (2019), Iss. 2 P.431
https://doi.org/10.1007/s11063-018-9827-3 [Citations: 6] -
Color energy as a seed descriptor for image segmentation with region growing algorithms on skin wound images
Seixas, Jose Luis | Barbon, Sylvio | Siqueira, Claudia Martins | Lupiano Dias, Ivan Frederico | Castaldin, Andre Giovanni | Salvany Felinto, Alan2014 IEEE 16th International Conference on e-Health Networking, Applications and Services (Healthcom), (2014), P.387
https://doi.org/10.1109/HealthCom.2014.7001874 [Citations: 6] -
AN ACTIVE CONTOUR MODEL FOR TEXTURE IMAGE SEGMENTATION USING RÉNYI DIVERGENCE MEASURE
Idrissi, Sidi Yassine
Mathematical Modelling and Analysis, Vol. 27 (2022), Iss. 3 P.429
https://doi.org/10.3846/mma.2022.14060 [Citations: 0] -
Fast Texture Segmentation Based on Semi-local Region Descriptor and Active Contour Driven by the Bhattacharyya Distance
Zhang, Shanqing | Xin, Weibin | Zhang, Guixu2010 International Conference on Multimedia Information Networking and Security, (2010), P.35
https://doi.org/10.1109/MINES.2010.15 [Citations: 1] -
L1 Patch-Based Image Partitioning into Homogeneous Textured Regions
Oliver, M. | Haro, G. | Fedorov, V. | Ballester, C.2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), (2018), P.1558
https://doi.org/10.1109/ICASSP.2018.8462594 [Citations: 0] -
Anisotropic clustering on surfaces for crack extraction
Zhao, Guoteng | Wang, Tongqing | Ye, JunyongMachine Vision and Applications, Vol. 26 (2015), Iss. 5 P.675
https://doi.org/10.1007/s00138-015-0682-1 [Citations: 22] -
MCA aided geodesic active contours for image segmentation with textures
Shan, Hao | He, Changtao | Wang, NaPattern Recognition Letters, Vol. 45 (2014), Iss. P.235
https://doi.org/10.1016/j.patrec.2014.04.018 [Citations: 6] -
Unsupervised sub‐segmentation for pigmented skin lesions
Liu, Zhao | Sun, Jiuai | Smith, Melvyn | Smith, Lyndon | Warr, RobertSkin Research and Technology, Vol. 18 (2012), Iss. 1 P.77
https://doi.org/10.1111/j.1600-0846.2011.00534.x [Citations: 15] -
Dual-Fusion Active Contour Model with Semantic Information for Saliency Target Extraction of Underwater Images
Yang, Shudi | Wu, Jiaxiong | Feng, ZhipengApplied Sciences, Vol. 12 (2022), Iss. 5 P.2515
https://doi.org/10.3390/app12052515 [Citations: 3] -
A novel level set method for image segmentation by incorporating local statistical analysis and global similarity measurement
Wang, Xiao-Feng | Min, Hai | Zou, Le | Zhang, Yi-GangPattern Recognition, Vol. 48 (2015), Iss. 1 P.189
https://doi.org/10.1016/j.patcog.2014.07.008 [Citations: 85] -
Thermal hand image segmentation for biometric recognition
Font-Aragones, X. | Faundez-Zanuy, M. | Mekyska, J.IEEE Aerospace and Electronic Systems Magazine, Vol. 28 (2013), Iss. 6 P.4
https://doi.org/10.1109/MAES.2013.6533739 [Citations: 23] -
An efficient level set model with self-similarity for texture segmentation
Liu, Lixiong | Fan, Shengming | Ning, Xiaodong | Liao, LejianNeurocomputing, Vol. 266 (2017), Iss. P.150
https://doi.org/10.1016/j.neucom.2017.05.028 [Citations: 12] -
An Active Contour Model Based on Texture Distribution for Extracting Inhomogeneous Insulators From Aerial Images
Wu, Qinggang | An, JubaiIEEE Transactions on Geoscience and Remote Sensing, Vol. 52 (2014), Iss. 6 P.3613
https://doi.org/10.1109/TGRS.2013.2274101 [Citations: 87] -
Narrow Band Active Contour Model for Local Segmentation of Medical and Texture Images
ZHENG, Qiang | DONG, En-QingActa Automatica Sinica, Vol. 39 (2013), Iss. 1 P.21
https://doi.org/10.1016/S1874-1029(13)60003-8 [Citations: 5] -
Computational Modeling of Objects Presented in Images
Texture Image Segmentation by Weighted Image Gradient Norm Terms Based on Local Histogram and Active Contours
Moreno, Juan C.
2014
https://doi.org/10.1007/978-3-319-04039-4_13 [Citations: 1] -
An Intensity-Texture model based level set method for image segmentation
Min, Hai | Jia, Wei | Wang, Xiao-Feng | Zhao, Yang | Hu, Rong-Xiang | Luo, Yue-Tong | Xue, Feng | Lu, Jing-TingPattern Recognition, Vol. 48 (2015), Iss. 4 P.1547
https://doi.org/10.1016/j.patcog.2014.10.018 [Citations: 83] -
Active Contours Driven by the Salient Edge Energy Model
IEEE Transactions on Image Processing, Vol. 22 (2013), Iss. 4 P.1667
https://doi.org/10.1109/TIP.2012.2231689 [Citations: 33] -
Proceedings of International Conference on Internet Computing and Information Communications
Implementation of Textile Image Segmentation Using Contextual Clustering and Fuzzy Logic
Shobarani, R. | Purushothaman, S.2014
https://doi.org/10.1007/978-81-322-1299-7_43 [Citations: 0]