Exploiting tensor-space similarity measures in image and video processing
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https://doi.org/10.14419/ijet.v7i4.12700
Received date: May 10, 2018
Accepted date: December 3, 2018
Published date: March 22, 2019
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Gradient Fields, Image Analysis, Local Structures, Motion Estimation, Similarity Measure, Structure Tensor. -
Abstract
Measuring the similarity between images is a crucial process for several image and video processing applications. For instance, it is used in image inpainting, image retrieval, pattern recognition, as well as image and video compression. Traditional intensity-based approaches have shown efficiency in different situations and scenarios. However, failures still exist, especially in the case of high local structural variation images. In this paper, different tensor-based metrics that reveal the local structural information are presented and evaluated in several dissimilarity estimation contexts. Results show that using these metrics, relevant dissimilarities of local patterns can be better detected, thus helping standard intensity-based image inpainting algorithms, motion estimation methods and the analysis of medical images.
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References
- A. Akl, C. Yaacoub, M. Donias, J.P. Da Costa, C. Germain, “Struc-ture tensor-based synthesis of directional textures for virtual material design”, Proceedings of the 21st IEEE International Conference on Image Processing (ICIP), (2014).
- A. Akl, C. Yaacoub, M. Donias, J.P. Da Costa, C. Germain, “Tex-ture synthesis using the structure tensor”, IEEE Transactions on Im-age Processing, Vol. 24, No. 11, (2015), pp. 4082-4095. https://doi.org/10.1109/TIP.2015.2458701.
- G. Peyré, “Texture Synthesis with grouplets”, IEEE Trans. on Pat-tern Analysis and Machine Intelligence, Vol. 32, No. 4, (2009), pp:733-746. https://doi.org/10.1109/TPAMI.2009.54.
- A. Akl, E. Saad, C. Yaacoub, “Structure-Based Image Inpainting”, Proceedings of the 6th International Conference on Image Pro-cessing Theory, Tools and Applications, (2016). https://doi.org/10.1109/IPTA.2016.7820976.
- A. Akl, R. Gemayel, N. Alkhoury, C. Yaacoub, “Structure-Based Motion Estimation for Video Compression”, Proceedings of the In-ternational Multidisciplinary Conference on Engineering Technology, (2016). https://doi.org/10.1109/IMCET.2016.7777420.
- S. Ghanavati, T. Liu, P.S. Babyn, W. Doda, G. Lampropoulos, “Au-tomatic brain tumor detection in magnetic resonance images”, Pro-ceedings of the 9th IEEE International Symposium on Biomedical Imaging, (2012).
- T. Sugimoto, S. Katsuragawa, T. Hirai, R. Murakami, Y. Yamashita, “Computerized detection of metastatic brain tumors on contrast-enhanced 3D MR images by using a selective enhancement filter”, Proceedings of the 2010 World Congress on Medical Physics and Biomedical Engineering, (2010).
- R. Ambrosini, P. Wang, “Computer-aided detection of metastatic brain tumors using automated three-dimensional template matching”, Journal of MRI, Vol. 31, No. 1, (2010), pp: 85-93. https://doi.org/10.1002/jmri.22009.
- N. Ray, B.N. Saha, M. Brown, “Locating brain tumors from MR imagery using symmetry”, Proceedings of the 41st Asilomar Confer-ence on Signals, Systems and Computers, (2007). https://doi.org/10.1109/ACSSC.2007.4487200.
- S. Sevestre-Ghalila, A. Benazza-Benyahia, A. Ricordeau, N. Mellouli, C. Chappard, C. Benhamou, “Texture image analysis for osteoporosis detection with morphological tools”, Barillot C, Hay-nor D R, Hellier P (eds) Medical Image Computing and Computer-Assisted Intervention. Lecture Notes in Computer Science, Springer, (2004), pp: 87-94. https://doi.org/10.1007/978-3-540-30135-6_11.
- D.W. Dempster, “The contribution of trabecular architecture to can-cellous bone quality”, J Bone Miner Res, Vol. 15, No. 1, (2000), pp: 20-23. https://doi.org/10.1359/jbmr.2000.15.1.20.
- A.S. Hassani, M. Hassouni, R. Jennane, M. Rziza, E. Lespessailles, “Texture analysis for trabecular bone X-ray images using anisotropic Morlet wavelet and Rényi entropy”, Proceedings of the Internation-al Conference on Image and Signal Processing, (2012). https://doi.org/10.1007/978-3-642-31254-0_33.
- C. Zhu, “Remote sensing image texture analysis and classification with wavelet transform”, International Archives of Photogrammetry and Remote Sensing, Vol. 19, No. 16, (1996).
- K. Wikantika, A. Harto, R. Tateishi, “The use of spectral and tex-tural features from Landsat TM image for land cover classification in mountainous area”, Proceedings of the 2001 IECL Japan work-shop, (2001).
- A. C. Beers, M. Agrawala, N. Chaddha, “Rendering from com-pressed textures”, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, ACM, (1996), pp: 373-378.
- W. Sun, Y. Lu, F. Wu, S. Li, J. Tardif, “High-Dynamic-Range Tex-ture Compression for Rendering Systems of Different Capacities”, IEEE Trans. on Visualization and Computer Graphics, Vol. 16, No. 1, (2010), pp: 57-69. https://doi.org/10.1109/TVCG.2009.60.
- J.M. Leyssale, J.-P. Da Costa, C. Germain, P. Weisbecker, G. Vi-gnoles, “An image-guided atomistic reconstruction of pyrolytic car-bons”, Applied Physics Letters, Vol. 95, No. 23, (2009). https://doi.org/10.1063/1.3272949.
- C. Chapoullie, “Analyse/synthese tridimensionnelle de textures fi-breuses “, PhD dissertation, University of Bordeaux, (2014).
- A. Akl, J. Iskandar, “Structure tensor regularization for texture analysis”, Proceedings of the 5th International Conference on Image Processing Theory, Tools and Applications, (2015). https://doi.org/10.1109/IPTA.2015.7367217.
- R. Paget, I. Longstaff, “Texture synthesis via a noncausal nonpara-metric multiscale Markov random field”, IEEE Trans. on Image Processing, Vol. 7, No. 6, (1998), pp: 925-931. https://doi.org/10.1109/83.679446.
- J. Portilla, E.P. Simoncelli, “A Parametric Texture Model based on Joint Statistics of Complex Wavelet Coefficients”, International Journal of Computer Vision, Vol. 40, No. 1, (2000), pp: 49-71. https://doi.org/10.1023/A:1026553619983.
- R. Pless, I. Simon I, “Using thousands of images of an object”, Proceedings of the 6th Joint Conference on Information Science, (CVPRIP), (2002).
- S. Bhandarkar, F. Chen, “Similarity Analysis of Video Sequences Using an Artificial Neural Network”, Applied Intelligence, Vol. 22, No. 3, (2005), pp: 251-275. https://doi.org/10.1007/s10791-005-6622-3.
- A. Akl, J. Iskandar, “Second-moment matrix adaptation for local orientation estimation”, Proceedings of the 23rd International Con-ference on Systems, Signals and Image Processing, (2016). https://doi.org/10.1109/IWSSIP.2016.7502721.
- J. P. Antoine, P. Carrette, R, Murenzi, B. Piette, “Image analysis with two-dimensional continuous wavelet transform”, Signal Pro-cessing, Vol. 31, No. 3, (1993), pp: 241-272. https://doi.org/10.1016/0165-1684(93)90085-O.
- W. Tang, Y. Wang Y, W. He, “An image segmentation algorithm based on improved multiscale random field model in wavelet do-main”, Journal of Ambient Intelligence and Humanized Computing, Vol. 7, No. 2, (2016), pp: 221-228. https://doi.org/10.1007/s12652-015-0318-3.
- Z. Wu, J. Yuan, J. Zhang, H. Huang, “A hierarchical face recogni-tion algorithm based on humanoid nonlinear least-squares computa-tion”, Journal of Ambient Intelligence and Humanized Computing, Vol. 7, No. 2, (2016), pp: 229-238. https://doi.org/10.1007/s12652-015-0321-8.
- P.A. Sahoo, “Thresholding method based on two-dimensional renyis entropy”, Pattern Recognition, Vol. 37, No. 6, (2004), pp: 1149-1161. https://doi.org/10.1016/j.patcog.2003.10.008.
- L. Houam, A. Hafiane, R. Jennane, A. Boukrouche, E. Lespessailles, “Trabecular bone anisotropy characterization using 1d local binary patterns”, Blanc-Talon J, Bone D, Philips W, Popescu D, Scheun-ders P (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2010. Lecture Notes in Computer Science, Springer, (2010), pp: 105-113. https://doi.org/10.1007/978-3-642-17688-3_11.
- C. L. Benhamou, S. Poupon, E. Lespessailles, S. Loiseau, R. Jen-nane, V. Siroux, W. Ohley, L. Pothuaud, “Fractal analysis of radio-graphic trabecular bone texture and bone mineral density: two com-plementary parameters related to osteoporotic fractures”, J Bone Miner Res, Vol. 16, No. 4. (2001), pp:. 697-704. https://doi.org/10.1359/jbmr.2001.16.4.697
- R. Jennane, W.J. Ohley, S. Majumdar, G. Lemineur, “Fractal analy-sis of bone x-ray tomographic microscopy projections”, IEEE Trans. Med. Imaging, Vol. 20, No. 5, (2001), pp: 443-449. https://doi.org/10.1109/42.925297.
- L. Pothuaud, E. Lespessailles, R. Harba, R. Jennane, V. Royant, E. Eynard, C.L. Benhamou, “Fractal Analysis of Trabecular Bone Tex-ture on Radiographs: Discriminant Value in Postmenopausal Osteo-porosis”, Osteoporosis International, Vol. 8, No. 6, (1998), pp: 618-625. https://doi.org/10.1007/s001980050108.
- L. Dryden, A. Koloydenko, D. Zhou, “Non-Euclidean Statistics for Covariance Matrices, with Applications to Diffusion Tensor Imag-ing”, Annals of Applied Statistics, Vol. 3, No. 3, (2009), pp: 1102-1123. https://doi.org/10.1214/09-AOAS249.
- J. Angulo, “Structure Tensor Image Filtering using Riemannian L1 and L∞ Center-of-mass”, Image Analysis and Stereology, Vol. 33, No. 2, (2014), pp: 95-105. https://doi.org/10.5566/ias.v33.p95-105.
- V. Toujas, M. Donias, Y. Berthoumieu, “Structure Tensor Field Regularization Based on Geometric Features”, Proceedings of the 18th European Signal Processing Conference (EUSIPCO), (2010).
- P. Fillard, V. Arsigny, N. Ayache, X. Pennec, “A Riemannian framework for the processing of tensor-valued images”, Fogh Olsen O, Florack L, Kuijper A (eds) Deep Structure, Singularities, and Computer Vision. Lecture Notes in Computer Science, Springer, (2005), pp: 112–123. https://doi.org/10.1007/11577812_10.
- V. Kwatra, A. Schödl, I.A. Essa, G. Turk, A.F. Bobick, “Graphcut textures: Image and video synthesis using graph cuts”, ACM Trans-actions on Graphics, Vol. 22, No. 3, (2003), pp: 277-286. https://doi.org/10.1145/882262.882264.
- A. Bargteil, F. Sin, J.E. Michaels, T.G. Goktekin, J.F. O’Brien, “A Texture Synthesis Method for Liquid Animations”, Proceedings of the Eurographics Symposium on Computer Animation, ACM, (2006). https://doi.org/10.1145/1179849.1179929.
- G. Winkenbach, D.H. Salesin, “Computer-generated pen-and-ink illustration”, Proceedings of the 21st annual conference on Comput-er graphics and interactive techniques, ACM, (1994). https://doi.org/10.1145/192161.192184.
- M. Bertalmio, G. Sapiro, V. Caselles, C. Ballester, “Image inpaint-ing”, Proceedings of the 27th annual conference on Computer graphics and interactive techniques, ACM, (2000).
- A. Efros, T. Leung, “Texture synthesis by non-parametric sampling”, Proceedings of the 7th International Conference on Computer Vision, (1999). https://doi.org/10.1109/ICCV.1999.790383.
- A. Criminisi, P. Pérez, K. Toyama, “Region filling and object re-moval by exemplar-based image inpainting”, IEEE Trans. on image processing, Vol. 13, No. 9, (2004), pp: 1200-1212. https://doi.org/10.1109/TIP.2004.833105.
- J. Aujol, S. Ladjal, S. Masnou, “Exemplar-based inpainting from a variational point of view”, SIAM Journal on Mathematical Analysis, Vol. 42, No. 3, (2009), pp: 1246-85. https://doi.org/10.1137/080743883.
- L.Y. Wei, M. Levoy, “Fast texture synthesis using tree-structured vector quantization”, Proceedings of the 27th International Confer-ence on Computer Graphics and Interactive Techniques, ACM, (2000). https://doi.org/10.1145/344779.345009.
- ITU-R (2011) Recommendation BT.601-7. Studio encoding param-eters of digital television for standard 4:3 and wide screen 16:9 as-pect ratios, (2011).
- M. Weinberger, G. Seroussi, G. Sapiro, “The LOCO-I lossless im-age compression algorithm: Principles and standardization into JPEG-LS”, IEEE Trans. on Image Processing, Vol. 9, No. 8, (2000), pp: 1309–1324. https://doi.org/10.1109/83.855427.
- I.E. Richardson, The H.264 Advanced Video Compression Stand-ard, John Wiley & Sons, (2011).
- ITU-T (2000) Recommendation H.262, Information technology – Generic coding of moving pictures and associated audio infor-mation: Video, (2000).
- ISO (2004) Standard ISO/IEC 14496-2:2004 - Information tech-nology -- Coding of audio-visual objects -- Part 2: Visual, (2004).
- ITU-T (2005) Recommendation H.263, Video coding for low bit rate communication, (2005).
- ITU-T (2015) Recommendation H.265, International Standard ISO/IEC 23008-2, High Efficiency Video Coding, (2015).
- S. Kullback, R.A. Leibler, “On Information and Sufficiency. An-nals of Mathematical Statistic”, Vol. 22, No. 1, (1951), pp: 79-86. https://doi.org/10.1214/aoms/1177729694.
- URL (2018) YUV test sequences. URL http://videocoders.com/yuv.html. Accessed on April 3, 2018.
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How to Cite
Akl, A., & Yaacoub, C. (2019). Exploiting tensor-space similarity measures in image and video processing. International Journal of Engineering and Technology, 7(4), 5196-5205. https://doi.org/10.14419/ijet.v7i4.12700
