Skip header Section
Skip Bibliometrics Section
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)August 2006
- Authors:
- Gilles Aubert,
- Pierre Kornprobst
Abstract
No abstract available.
Cited By
- Aletti G, Moroni M and Naldi G (2019). A New Nonlocal Nonlinear Diffusion Equation for Data Analysis, Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications, 168:1, (109-135), Online publication date: 1-Aug-2020.
Kondapaneni I, Vevoda P, Grittmann P, Skřivan T, Slusallek P and Křivánek J (2019). Optimal multiple importance sampling, ACM Transactions on Graphics, 38:4, (1-14), Online publication date: 31-Aug-2019.- Zhang X and Ye W (2019). An adaptive second-order partial differential equation based on TV equation and p-Laplacian equation for image denoising, Multimedia Tools and Applications, 78:13, (18095-18112), Online publication date: 1-Jul-2019.
- Brinkmann E, Burger M and Grah J (2019). Unified Models for Second-Order TV-Type Regularisation in Imaging, Journal of Mathematical Imaging and Vision, 61:5, (571-601), Online publication date: 1-Jun-2019.
- Joudar N and Ettaouil M (2019). Mathematical mixed-integer programming for solving a new optimization model of selective image restoration, Circuits, Systems, and Signal Processing, 38:5, (2072-2096), Online publication date: 1-May-2019.
- Jain S, Ray R and Bhavsar A (2019). A Nonlinear Coupled Diffusion System for Image Despeckling and Application to Ultrasound Images, Circuits, Systems, and Signal Processing, 38:4, (1654-1683), Online publication date: 1-Apr-2019.
- Qiang Z, He L, Chen Y, Chen X and Xu D (2019). Adaptive fast local Laplacian filters and its edge-aware application, Multimedia Tools and Applications, 78:1, (619-639), Online publication date: 1-Jan-2019.
- Islam M, Xu C, Raza R and Han Y (2019). An Effective Weighted Hybrid Regularizing Approach for Image Noise Reduction, Circuits, Systems, and Signal Processing, 38:1, (218-241), Online publication date: 1-Jan-2019.
- Bi X, Liu H, Lu G, Wei J and Chao Y Exemplar-Based Image Inpainting using Automatic Patch Optimization Proceedings of the 2018 2nd International Conference on Video and Image Processing, (128-133)
- Welk M, Weickert J and Gilboa G (2018). A Discrete Theory and Efficient Algorithms for Forward-and-Backward Diffusion Filtering, Journal of Mathematical Imaging and Vision, 60:9, (1399-1426), Online publication date: 1-Nov-2018.
- Vard A (2018). A new combination active contour model for segmenting texture image with low contrast and high illumination variations, Multimedia Tools and Applications, 77:15, (20021-20042), Online publication date: 1-Aug-2018.
- Wang W, Wu C and Deng J (2018). A General Selective Averaging Method for Piecewise Constant Signal and Image Processing, Journal of Scientific Computing, 76:2, (1078-1104), Online publication date: 1-Aug-2018.
- Tian W and Yuan X (2018). Convergence Analysis of Primal---Dual Based Methods for Total Variation Minimization with Finite Element Approximation, Journal of Scientific Computing, 76:1, (243-274), Online publication date: 1-Jul-2018.
- Jiao Y, Pan X, Zhao Z and Hou C (2018). Learning sparse partial differential equations for vector-valued images, Neural Computing and Applications, 29:11, (1205-1216), Online publication date: 1-Jun-2018.
- Mohamadi N, Soheili A and Toutounian F (2018). A new hybrid denoising model based on PDEs, Multimedia Tools and Applications, 77:10, (12057-12072), Online publication date: 1-May-2018.
- Quéau Y, Durou J and Aujol J (2018). Variational Methods for Normal Integration, Journal of Mathematical Imaging and Vision, 60:4, (609-632), Online publication date: 1-May-2018.
- Laghrib A, Ezzaki M, El Rhabi M, Hakim A, Monasse P and Raghay S (2018). Simultaneous deconvolution and denoising using a second order variational approach applied to image super resolution, Computer Vision and Image Understanding, 168:C, (50-63), Online publication date: 1-Mar-2018.
- Lai R and Li J (2018). Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning, Journal of Scientific Computing, 74:3, (1241-1263), Online publication date: 1-Mar-2018.
- Le T and Tran D A Robust Liver Segmentation in CT-images Using 3D Level-Set Developed with the Edge and the Region Information Proceedings of the 2018 International Conference on Intelligent Information Technology, (1-8)
- Wagner M (2018). An Application of Quadratic Measure Filters to the Segmentation of Chorio-Retinal OCT Data, Journal of Mathematical Imaging and Vision, 60:2, (216-231), Online publication date: 1-Feb-2018.
- Liu G and Li H (2018). Robust Evolution Method of Active Contour Models and Application in Segmentation of Image Sequence, Journal of Electrical and Computer Engineering, 2018, (2), Online publication date: 1-Jan-2018.
- Prasath V (2017). Image denoising by anisotropic diffusion with inter-scale information fusion, Pattern Recognition and Image Analysis, 27:4, (748-753), Online publication date: 1-Oct-2017.
- Boccuto A, Gerace I and Martinelli F (2017). Half-Quadratic Image Restoration with a Non-parallelism Constraint, Journal of Mathematical Imaging and Vision, 59:2, (270-295), Online publication date: 1-Oct-2017.
- Benninghoff H and Garcke H (2017). Segmentation of Three-Dimensional Images with Parametric Active Surfaces and Topology Changes, Journal of Scientific Computing, 72:3, (1333-1367), Online publication date: 1-Sep-2017.
- Zhang Y, Guo H, Chen F and Yang H (2017). Weighted kernel mapping model with spring simulation based watershed transformation for level set image segmentation, Neurocomputing, 249:C, (1-18), Online publication date: 2-Aug-2017.
- Kang M, Kang M and Jung M (2017). Total Generalized Variation Based Denoising Models for Ultrasound Images, Journal of Scientific Computing, 72:1, (172-197), Online publication date: 1-Jul-2017.
- Marouf A and Houacine A (2017). Improving parametric active contours by using attracting point distance map, Multimedia Tools and Applications, 76:10, (12583-12595), Online publication date: 1-May-2017.
- Khadidos A, Sanchez V and Li C (2017). Weighted Level Set Evolution Based on Local Edge Features for Medical Image Segmentation, IEEE Transactions on Image Processing, 26:4, (1979-1991), Online publication date: 1-Apr-2017.
- Tang C, Hou C, Hou Y, Wang P and Li W (2017). An effective edge-preserving smoothing method for image manipulation, Digital Signal Processing, 63:C, (10-24), Online publication date: 1-Apr-2017.
- Mourabit I, Rhabi M, Hakim A, Laghrib A and Moreau E (2017). A new denoising model for multi-frame super-resolution image reconstruction, Signal Processing, 132:C, (51-65), Online publication date: 1-Mar-2017.
- Åström F, Felsberg M and Baravdish G (2017). Mapping-Based Image Diffusion, Journal of Mathematical Imaging and Vision, 57:3, (293-323), Online publication date: 1-Mar-2017.
- Wang Y, Yang Y and Chen T (2017). Spectral-spatial adaptive and well-balanced flow-based anisotropic diffusion for multispectral image denoising, Journal of Visual Communication and Image Representation, 43:C, (185-197), Online publication date: 1-Feb-2017.
- Zhang L, Peng X, Li G and Li H (2017). A novel active contour model for image segmentation using local and global region-based information, Machine Vision and Applications, 28:1-2, (75-89), Online publication date: 1-Feb-2017.
- Liu C, Liu W and Xing W (2017). An improved edge-based level set method combining local regional fitting information for noisy image segmentation, Signal Processing, 130:C, (12-21), Online publication date: 1-Jan-2017.
- Gilboa G (2017). Semi-Inner-Products for Convex Functionals and Their Use in Image Decomposition, Journal of Mathematical Imaging and Vision, 57:1, (26-42), Online publication date: 1-Jan-2017.
- Heidari M (2016). An Image Segmentation by BFV and TLBO, Advances in Fuzzy Systems, 2016, (3), Online publication date: 1-Nov-2016.
- Laghrib A, Ghazdali A, Hakim A and Raghay S (2016). A multi-frame super-resolution using diffusion registration and a nonlocal variational image restoration, Computers & Mathematics with Applications, 72:9, (2535-2548), Online publication date: 1-Nov-2016.
- Tang L, Fang Z, Xiang C and Chen S (2016). Image selective restoration using multi-scale variational decomposition, Journal of Visual Communication and Image Representation, 40:PB, (638-655), Online publication date: 1-Oct-2016.
- Li F, Osher S, Qin J and Yan M (2016). A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-Norm Fidelity, Journal of Scientific Computing, 69:1, (82-106), Online publication date: 1-Oct-2016.
- Gilboa G, Moeller M and Burger M (2016). Nonlinear Spectral Analysis via One-Homogeneous Functionals, Journal of Mathematical Imaging and Vision, 56:2, (300-319), Online publication date: 1-Oct-2016.
- Wang H, Huang T, Xu Z and Wang Y (2016). A two-stage image segmentation via global and local region active contours, Neurocomputing, 205:C, (130-140), Online publication date: 12-Sep-2016.
- Medathati N, Neumann H, Masson G and Kornprobst P (2016). Bio-inspired computer vision, Computer Vision and Image Understanding, 150:C, (1-30), Online publication date: 1-Sep-2016.
- Jung M and Kang M (2016). Variational Image Colorization Models Using Higher-Order Mumford---Shah Regularizers, Journal of Scientific Computing, 68:2, (864-888), Online publication date: 1-Aug-2016.
- Pu Y, Zhang N, Zhang Y and Zhou J (2016). A texture image denoising approach based on fractional developmental mathematics, Pattern Analysis & Applications, 19:2, (427-445), Online publication date: 1-May-2016.
- Zhu S, Zhou Q and Gao R (2016). A novel snake model using new multi-step decision model for complex image segmentation, Computers and Electrical Engineering, 51:C, (58-73), Online publication date: 1-Apr-2016.
- Jain S and Ray R An Alternative Framework of Anisotropic Diffusion for Image Denoising Proceedings of the Second International Conference on Information and Communication Technology for Competitive Strategies, (1-6)
- Han Y, Xu C and Baciu G (2016). A variational based smart segmentation model for speckled images, Neurocomputing, 178:C, (62-70), Online publication date: 20-Feb-2016.
- Shi K, Zhang D, Guo Z, Sun J and Wu B (2016). A non-divergence diffusion equation for removing impulse noise and mixed Gaussian impulse noise, Neurocomputing, 173:P3, (659-670), Online publication date: 15-Jan-2016.
- Li W, Wang Z, Zhang T, Bai B, Ding Y and Deng Y (2015). Vectorial additive half-quadratic minimization for isotropic regularization, Journal of Computational and Applied Mathematics, 281:C, (152-168), Online publication date: 1-Jun-2015.
- Jin Xiao , Ng M and Yu-Fei Yang (2015). On the Convergence of Nonconvex Minimization Methods for Image Recovery, IEEE Transactions on Image Processing, 24:5, (1587-1598), Online publication date: 1-May-2015.
- Ji Z, Xia Y, Sun Q, Cao G and Chen Q (2015). Active contours driven by local likelihood image fitting energy for image segmentation, Information Sciences: an International Journal, 301:C, (285-304), Online publication date: 20-Apr-2015.
- Paris S, Hasinoff S and Kautz J (2015). Local Laplacian filters, Communications of the ACM, 58:3, (81-91), Online publication date: 23-Feb-2015.
- Jung M and Kang M (2015). Efficient Nonsmooth Nonconvex Optimization for Image Restoration and Segmentation, Journal of Scientific Computing, 62:2, (336-370), Online publication date: 1-Feb-2015.
- Lin T, Xue H, Wang L, Huang B and Zha H (2015). Supervised learning via Euler's Elastica models, The Journal of Machine Learning Research, 16:1, (3637-3686), Online publication date: 1-Jan-2015.
- Lukić T and Nagy B (2014). Deterministic discrete tomography reconstruction by energy minimization method on the triangular grid, Pattern Recognition Letters, 49:C, (11-16), Online publication date: 1-Nov-2014.
- Jidesh P (2014). A convex regularization model for image restoration, Computers and Electrical Engineering, 40:8, (66-78), Online publication date: 1-Nov-2014.
- Whytock T, Belyaev A and Robertson N (2014). Dynamic Distance-Based Shape Features for Gait Recognition, Journal of Mathematical Imaging and Vision, 50:3, (314-326), Online publication date: 1-Nov-2014.
- Aubry M, Paris S, Hasinoff S, Kautz J and Durand F (2014). Fast Local Laplacian Filters, ACM Transactions on Graphics, 33:5, (1-14), Online publication date: 23-Sep-2014.
- Qiao T, Li W, Wu B and Wang J (2014). A chaotic iterative algorithm based on linearized Bregman iteration for image deblurring, Information Sciences: an International Journal, 272:C, (198-208), Online publication date: 10-Jul-2014.
- Laadhari A, Saramito P and Misbah C (2014). Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods, Journal of Computational Physics, 263:C, (328-352), Online publication date: 15-Apr-2014.
- Lee Y, Lee S and Yoon J (2014). A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization, Journal of Mathematical Imaging and Vision, 48:3, (566-582), Online publication date: 1-Mar-2014.
- Sawatzky A, Tenbrinck D, Jiang X and Burger M (2013). A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models, Journal of Mathematical Imaging and Vision, 47:3, (179-209), Online publication date: 1-Nov-2013.
- Ren Z, He C and Zhang Q (2013). Fractional order total variation regularization for image super-resolution, Signal Processing, 93:9, (2408-2421), Online publication date: 1-Sep-2013.
- Yıldızoğlu R, Aujol J and Papadakis N A Convex Formulation for Global Histogram Based Binary Segmentation Proceedings of the 9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition - Volume 8081, (335-349)
- Wang Y, Ji G, Lin P and Trucco E (2013). Retinal vessel segmentation using multiwavelet kernels and multiscale hierarchical decomposition, Pattern Recognition, 46:8, (2117-2133), Online publication date: 1-Aug-2013.
- Han Y, Feng X and Baciu G (2013). Variational and PCA based natural image segmentation, Pattern Recognition, 46:7, (1971-1984), Online publication date: 1-Jul-2013.
- Dong B and Zhang Y (2013). An Efficient Algorithm for l0 Minimization in Wavelet Frame Based Image Restoration, Journal of Scientific Computing, 54:2-3, (350-368), Online publication date: 1-Feb-2013.
- Dong B, Li J and Shen Z (2013). X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting, Journal of Scientific Computing, 54:2-3, (333-349), Online publication date: 1-Feb-2013.
- Cui W, Wang Y, Fan Y, Feng Y and Lei T (2013). Localized FCM clustering with spatial information for medical image segmentation and bias field estimation, Journal of Biomedical Imaging, 2013, (13-13), Online publication date: 1-Jan-2013.
- Borkowski D and Jańczak-Borkowska K Application of Backward Stochastic Differential Equations to Reconstruction of Vector-Valued Images Proceedings of the International Conference on Computer Vision and Graphics - Volume 7594, (38-47)
- Borkowski D Euler's Approximations to Image Reconstruction Proceedings of the International Conference on Computer Vision and Graphics - Volume 7594, (30-37)
- Coelho A, Estrela V, do Carmo F and Fernandes S Error concealment by means of motion refinement and regularized bregman divergence Proceedings of the 13th international conference on Intelligent Data Engineering and Automated Learning, (650-657)
- Yang L, Tian J and Wu D (2012). Content-based image authentication by feature point clustering and matching, Security and Communication Networks, 5:6, (636-647), Online publication date: 1-Jun-2012.
- Gao S, Yang J and Yan Y (2012). A local modified chan–vese model for segmenting inhomogeneous multiphase images, International Journal of Imaging Systems and Technology, 22:2, (103-113), Online publication date: 1-Jun-2012.
- Liu F and Liu J (2012). Anisotropic diffusion for image denoising based on diffusion tensors, Journal of Visual Communication and Image Representation, 23:3, (516-521), Online publication date: 1-Apr-2012.
- Boukerroui D (2012). Efficient numerical schemes for gradient vector flow, Pattern Recognition, 45:1, (626-636), Online publication date: 1-Jan-2012.
- Han Y, Wang W and Feng X (2012). A new fast multiphase image segmentation algorithm based on nonconvex regularizer, Pattern Recognition, 45:1, (363-372), Online publication date: 1-Jan-2012.
- Guillén Galván C, Valdés Amaro D and Uriarte Adrián J A modification of the mumford-shah functional for segmentation of digital images with fractal objects Proceedings of the 10th international conference on Artificial Intelligence: advances in Soft Computing - Volume Part II, (463-473)
- Doré V, Farrahi Moghaddam R and Cheriet M (2011). Non-local adaptive structure tensors, Image and Vision Computing, 29:11, (730-743), Online publication date: 1-Oct-2011.
- Thieu Q, Luong M, Rocchisani J and Viennet E A convex active contour region-based model for image segmentation Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I, (135-143)
- Paris S, Hasinoff S and Kautz J Local Laplacian filters ACM SIGGRAPH 2011 papers, (1-12)
- Janev M, Pilipović S, Atanacković T, Obradović R and Ralević N (2011). Fully fractional anisotropic diffusion for image denoising, Mathematical and Computer Modelling: An International Journal, 54:1-2, (729-741), Online publication date: 1-Jul-2011.
- Batard T and Sochen N Polyakov action on (ρ,g)-equivariant functions application to color image regularization Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision, (483-494)
- Wang L, Shi Y and Tai X Robust edge detection using mumford-shah model and binary level set method Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision, (291-301)
- Nikolova M Either fit to data entries or locally to prior Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision, (110-121)
- Ciril I and Darbon J Image denoising with a constrained discrete total variation scale space Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery, (465-476)
- D'Amore L, Casaburi D, Marcellino L and Murli A (2011). Numerical solution of diffusion models in biomedical imaging on multicore processors, Journal of Biomedical Imaging, 2011, (9-9), Online publication date: 1-Jan-2011.
- Karcí M and Demirekler M (2010). Minimization of monotonically levelable higher order MRF energies via graph cuts, IEEE Transactions on Image Processing, 19:11, (2849-2860), Online publication date: 1-Nov-2010.
- Sun J and Xu Z (2010). Scale selection for anisotropic diffusion filter by Markov random field model, Pattern Recognition, 43:8, (2630-2645), Online publication date: 1-Aug-2010.
- Merino-Caviedes S, Vegas-Sánchez G, Pérez M, Aja-Fernández S and Martín-Fernández M A variationally based weighted re-initialization method for geometric active contours Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro, (908-911)
- El Hamidi A, Ménard M, Lugiez M and Ghannam C (2010). Weighted and extended total variation for image restoration and decomposition, Pattern Recognition, 43:4, (1564-1576), Online publication date: 1-Apr-2010.
- Zhang K, Song H and Zhang L (2010). Active contours driven by local image fitting energy, Pattern Recognition, 43:4, (1199-1206), Online publication date: 1-Apr-2010.
- Zhang K, Zhang L, Song H and Zhou W (2010). Active contours with selective local or global segmentation, Image and Vision Computing, 28:4, (668-676), Online publication date: 1-Apr-2010.
- Xiao L, Huang L and Wei Z (2010). A weberized total variation regularization-based image multiplicative noise removal algorithm, EURASIP Journal on Advances in Signal Processing, 2010, (1-15), Online publication date: 1-Feb-2010.
- Huang L, Xiao L and Wei Z (2010). Multiplicative noise removal via a novel variational model, Journal on Image and Video Processing, 2010, (1-16), Online publication date: 1-Jan-2010.
- Salah M, Mitiche A and Ayed I (2010). Effective level set image segmentation with a kernel induced data term, IEEE Transactions on Image Processing, 19:1, (220-232), Online publication date: 1-Jan-2010.
- Prasath V Color Image Segmentation Based on Vectorial Multiscale Diffusion with Inter-scale Linking Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence, (339-344)
- Wang L, He L, Mishra A and Li C (2009). Active contours driven by local Gaussian distribution fitting energy, Signal Processing, 89:12, (2435-2447), Online publication date: 1-Dec-2009.
- Du X, Pan W and Bui T (2009). Text line segmentation in handwritten documents using Mumford-Shah model, Pattern Recognition, 42:12, (3136-3145), Online publication date: 1-Dec-2009.
- Boukerroui D Efficient numerical schemes for gradient vector flow Proceedings of the 16th IEEE international conference on Image processing, (4005-4008)
- Šroubek F, Šorel M, Boldyš J and Šroubek J Pet image reconstruction using prior information from CT or MRI Proceedings of the 16th IEEE international conference on Image processing, (2465-2468)
- Ben Ayed I, Li S and Ross I (2009). A Statistical Overlap Prior for Variational Image Segmentation, International Journal of Computer Vision, 85:1, (115-132), Online publication date: 1-Oct-2009.
- Yu G, Qi L and Dai Y (2009). On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration, Journal of Mathematical Imaging and Vision, 35:2, (143-154), Online publication date: 1-Oct-2009.
- Bartuschat D, Stürmer M and Köstler H An orthogonal matching pursuit algorithm for image denoising on the cell broadband engine Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I, (557-566)
- Alvarez L, Gómez L and Sendra J (2009). An Algebraic Approach to Lens Distortion by Line Rectification, Journal of Mathematical Imaging and Vision, 35:1, (36-50), Online publication date: 1-Sep-2009.
- Libeřda O, Bartušek K, Smékal Z and Mikulka J Data processing in studying the temporomandibular joint, using MR imaging and sonographic techniques Proceedings of the 16th international conference on Digital Signal Processing, (367-372)
- Lamichhane B (2009). Finite element techniques for removing the mixture of Gaussian and impulsive noise, IEEE Transactions on Signal Processing, 57:7, (2538-2547), Online publication date: 1-Jul-2009.
- Alvarez L, Castaño C, García M, Krissian K, Mazorra L, Salgado A and Sánchez J (2009). A new energy-based method for 3D motion estimation of incompressible PIV flows, Computer Vision and Image Understanding, 113:7, (802-810), Online publication date: 1-Jul-2009.
- Aujol J (2009). Some First-Order Algorithms for Total Variation Based Image Restoration, Journal of Mathematical Imaging and Vision, 34:3, (307-327), Online publication date: 1-Jul-2009.
- Ta V, Lézoray O, Elmoataz A and Schüpp S (2009). Graph-based tools for microscopic cellular image segmentation, Pattern Recognition, 42:6, (1113-1125), Online publication date: 1-Jun-2009.
- Auroux D (2009). From restoration by topological gradient to medical image segmentation via an asymptotic expansion, Mathematical and Computer Modelling: An International Journal, 49:11-12, (2191-2205), Online publication date: 1-Jun-2009.
- Farbman Z, Fattal R, Lischinski D and Szeliski R Edge-preserving decompositions for multi-scale tone and detail manipulation ACM SIGGRAPH 2008 papers, (1-10)
- Farbman Z, Fattal R, Lischinski D and Szeliski R (2008). Edge-preserving decompositions for multi-scale tone and detail manipulation, ACM Transactions on Graphics, 27:3, (1-10), Online publication date: 1-Aug-2008.
- Galić I, Weickert J, Welk M, Bruhn A, Belyaev A and Seidel H (2008). Image Compression with Anisotropic Diffusion, Journal of Mathematical Imaging and Vision, 31:2-3, (255-269), Online publication date: 1-Jul-2008.
- Lugiez M, Ménard M and El-Hamidi A Dynamic Color Texture Modeling and Color Video Decomposition Using Bounded Variation and Oscillatory Functions Proceedings of the 3rd international conference on Image and Signal Processing, (29-37)
- Zhang Q, Sun J and Xu G Noise removal based on the variation of digitized energy Proceedings of the 5th international conference on Advances in geometric modeling and processing, (290-303)
- Kuijper A Qualitative and quantitative behaviour of geometrical PDEs in image processing Proceedings of the 8th Asian conference on Computer vision - Volume Part I, (230-239)
- Kameda Y and Imiya A Classification of optical flow by constraints Proceedings of the 12th international conference on Computer analysis of images and patterns, (61-68)
- Passino G and Izquierdo E Patch-based image classification through conditional random field model Proceedings of the 3rd international conference on Mobile multimedia communications, (1-6)
- Paris S, Kornprobst P, Tumblin J and Durand F A gentle introduction to bilateral filtering and its applications ACM SIGGRAPH 2007 courses, (1-es)
- Tai X, Christiansen O, Lin P and Skjælaaen I (2007). Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection, International Journal of Computer Vision, 73:1, (61-76), Online publication date: 1-Jun-2007.
- Amiaz T, Fazekas S, Chetverikov D and Kiryati N Detecting regions of dynamic texture Proceedings of the 1st international conference on Scale space and variational methods in computer vision, (848-859)
- Tatu A, Lauze F, Nielsen M and Olsen O Curve evolution in subspaces Proceedings of the 1st international conference on Scale space and variational methods in computer vision, (754-764)
- Nikolova M Bounds on the minimizers of (nonconvex) regularized least-squares Proceedings of the 1st international conference on Scale space and variational methods in computer vision, (496-507)
- Rahman T, Tai X and Osher S A TV-stokes denoising algorithm Proceedings of the 1st international conference on Scale space and variational methods in computer vision, (473-483)
- Nikolova M Counter-examples for Bayesian MAP restoration Proceedings of the 1st international conference on Scale space and variational methods in computer vision, (140-152)
- Fu S, Ruan Q, Mu C and Wang W Geometry-Driven Nonlinear Equation with an Accelerating Coupled Scheme for Image Enhancement Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007, (490-496)
- Darbon J A note on the discrete binary Mumford-Shah model Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques, (283-294)
- Mitiche A and Sekkati H (2006). Optical Flow 3D Segmentation and Interpretation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 28:11, (1818-1829), Online publication date: 1-Nov-2006.
- Zheng H and Hellwich O Extended mumford-shah regularization in bayesian estimation for blind image deconvolution and segmentation Proceedings of the 11th international conference on Combinatorial Image Analysis, (144-158)
- Agrawal A, Raskar R and Chellappa R What is the range of surface reconstructions from a gradient field? Proceedings of the 9th European conference on Computer Vision - Volume Part I, (578-591)
- Vazquez C, Mitiche A and Laganiere R (2006). Joint Multiregion Segmentation and Parametric Estimation of Image Motion by Basis Function Representation and Level Set Evolution, IEEE Transactions on Pattern Analysis and Machine Intelligence, 28:5, (782-793), Online publication date: 1-May-2006.
- Yu G, Li L, Gu J and Zhang L Total variation based iterative image reconstruction Proceedings of the First international conference on Computer Vision for Biomedical Image Applications, (526-534)
- Torii A, Imiya A, Sugaya H and Mochizuki Y Optical flow computation for compound eyes Proceedings of the First international conference on Brain, Vision, and Artificial Intelligence, (527-536)
- Aujol J, Gilboa G, Chan T and Osher S Structure-Texture decomposition by a TV-Gabor model Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision, (85-96)
- Zhang Q, Gao S and Bui T Edge detection models Proceedings of the Second international conference on Image Analysis and Recognition, (133-140)
- Didas S, Weickert J and Burgeth B Stability and local feature enhancement of higher order nonlinear diffusion filtering Proceedings of the 27th DAGM conference on Pattern Recognition, (451-458)
- Burgeth B, Didas S and Weickert J The bessel scale-space Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision, (84-95)
- Fillard P, Arsigny V, Ayache N and Pennec X A riemannian framework for the processing of tensor-valued images Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision, (112-123)
- Aujol J and Chambolle A (2005). Dual Norms and Image Decomposition Models, International Journal of Computer Vision, 63:1, (85-104), Online publication date: 1-Jun-2005.
- Keller S, Lauze F and Nielsen M A total variation motion adaptive deinterlacing scheme Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision, (408-418)
- de Zeeuw P A multigrid approach to image processing Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision, (396-407)
- Bresson X, Vandergheynst P and Thiran J Multiscale active contours Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision, (167-178)
- Tschumperle D and Deriche R (2005). Vector-Valued Image Regularization with PDEs, IEEE Transactions on Pattern Analysis and Machine Intelligence, 27:4, (506-517), Online publication date: 1-Apr-2005.
- Vanzella W, Pellegrino F and Torre V (2004). Self-Adaptive Regularization, IEEE Transactions on Pattern Analysis and Machine Intelligence, 26:6, (804-809), Online publication date: 1-Jun-2004.
- Tremblais B and Augereau B (2004). A fast multi-scale edge detection algorithm, Pattern Recognition Letters, 25:6, (603-618), Online publication date: 19-Apr-2004.
- Li J and Hero A (2004). A Fast Spectral Method for Active 3D Shape Reconstruction, Journal of Mathematical Imaging and Vision, 20:1-2, (73-87), Online publication date: 1-Jan-2004.
- Hintermüller M and Ring W (2004). An Inexact Newton-CG-Type Active Contour Approach for the Minimization of the Mumford-Shah Functional, Journal of Mathematical Imaging and Vision, 20:1-2, (19-42), Online publication date: 1-Jan-2004.
- Kim H, Yang S and Sohn K 3D Reconstruction of Stereo Images for Interaction between Real and Virtual Worlds Proceedings of the 2nd IEEE/ACM International Symposium on Mixed and Augmented Reality
- Cyganek B Combined detector of locally-oriented structures and corners in images based on a scale-space tensor representation of local neighborhoods of pixels Proceedings of the 2003 international conference on Computational science: PartII, (721-730)
- Jehan-Besson S, Barlaud M and Aubert G (2003). DREAM2S, International Journal of Computer Vision, 53:1, (45-70), Online publication date: 1-Jun-2003.
Recommendations
Applications of the Tau Method to problems in mathematical modelling: A survey of recent applications of the Tau Method to problems in mathematical modelling
New formulations and recent theoretical developments have made it possible to apply the Tau Method to a variety of interesting problems of Engineering Science where a high accuracy is required of the solution. These include strongly nonlinear, stiff and ...
Fractional Differential Mathematical Models of the Dynamics of Nonequilibrium Geomigration Processes and Problems with Nonlocal Boundary Conditions
The analytical solutions of boundary-value problems with nonlocal boundary conditions are presented for two fractional differential mathematical models of the dynamics of a geomigration process non-equilibrium in time. The models based on the equations ...