Geometry-Driven Diffusion in Computer Vision
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[1] J. J. Fourier,et al. The Analytical Theory of Heat , 1878, Nature.
[2] S. Lie. Classification und Integration von gewöhnlichen Differentialgleichungen zwischenxy, die eine Gruppe von Transformationen gestatten , 1888 .
[3] L. Bianchi. Vorlesungen über Differentialgeometrie I , 1899 .
[4] E. J. Wilczynski. Projective differential geometry , 1906 .
[5] H. Weyl. The Classical Groups , 1940 .
[6] S. Rice. Mathematical analysis of random noise , 1944 .
[7] E. Hille. Functional Analysis And Semi-Groups , 1948 .
[8] I. J. Schoenberg. On smoothing operations and their generating functions , 1953 .
[9] K. Nomizu. Lie groups and differential geometry , 1956 .
[10] John Crank,et al. The Mathematics Of Diffusion , 1956 .
[11] D. Hubel,et al. Receptive fields, binocular interaction and functional architecture in the cat's visual cortex , 1962, The Journal of physiology.
[12] D. F. Lawden. An introduction to tensor calculus and relativity , 1962 .
[13] H. Weinberger,et al. Maximum principles in differential equations , 1967 .
[14] J. Dieudonne,et al. Invariant theory, old and new , 1971 .
[15] Leonard Uhr,et al. Layered "Recognition Cone" Networks That Preprocess, Classify, and Describe , 1972, IEEE Transactions on Computers.
[16] H. Brezis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .
[17] H. Blum. Biological shape and visual science. I. , 1973, Journal of theoretical biology.
[18] Richard O. Duda,et al. Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.
[19] Allen R. Hanson,et al. Preprocessing Cones: A Computational Structure for Scene Analysis. , 1974 .
[20] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[21] J. Cole,et al. Similarity methods for differential equations , 1974 .
[22] Theodosios Pavlidis,et al. A hierarchical data structure for picture processing , 1975 .
[23] M. Spivak. A comprehensive introduction to differential geometry , 1979 .
[24] A. Tikhonov. Inverse heat conduction problems , 1975 .
[25] D. Widder. The heat equation , 1975 .
[26] G. Matheron. Random Sets and Integral Geometry , 1976 .
[27] A. N. Tikhonov,et al. Solutions of ill-posed problems , 1977 .
[28] Carl de Boor,et al. A Practical Guide to Splines , 1978, Applied Mathematical Sciences.
[29] B Julesz,et al. On the Limits of Fourier Decompositions in Visual Texture Perception , 1979, Perception.
[30] D H Hubel,et al. Brain mechanisms of vision. , 1979, Scientific American.
[31] N. Graham. Does the brain perform a Fourier analysis of the visual scene? , 1979, Trends in Neurosciences.
[32] D. Raine. General relativity , 1980, Nature.
[33] P. J. Burt,et al. Fast Filter Transforms for Image Processing , 1981 .
[34] J. Crowley. A representation for visual information , 1981 .
[35] Berthold K. P. Horn,et al. Determining Optical Flow , 1981, Other Conferences.
[36] Azriel Rosenfeld,et al. Gray-level corner detection , 1982, Pattern Recognit. Lett..
[37] Edward H. Adelson,et al. The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..
[38] Andrew P. Witkin,et al. Scale-Space Filtering , 1983, IJCAI.
[39] Hans-Hellmut Nagel,et al. Displacement vectors derived from second-order intensity variations in image sequences , 1983, Comput. Vis. Graph. Image Process..
[40] H. Attouch. Variational convergence for functions and operators , 1984 .
[41] James L. Crowley,et al. A Representation for Shape Based on Peaks and Ridges in the Difference of Low-Pass Transform , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[42] G. Huisken. Flow by mean curvature of convex surfaces into spheres , 1984 .
[43] S Grossberg,et al. Neural dynamics of brightness perception: Features, boundaries, diffusion, and resonance , 1984, Perception & Psychophysics.
[44] Richard M. Stern,et al. Fast Computation of the Difference of Low-Pass Transform , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[45] M. Gage. Curve shortening makes convex curves circular , 1984 .
[46] R. Young. GAUSSIAN DERIVATIVE THEORY OF SPATIAL VISION: ANALYSIS OF CORTICAL CELL RECEPTIVE FIELD LINE-WEIGHTING PROFILES. , 1985 .
[47] Guy Barles,et al. Remarks on a flame propagation model , 1985 .
[48] J. Sethian. Curvature and the evolution of fronts , 1985 .
[49] T. Poggio,et al. Fingerprints theorems for zero crossings , 1985 .
[50] Anil K. Jain,et al. A spatial filtering approach to texture analysis , 1985, Pattern Recognit. Lett..
[51] Richard A. Young,et al. GAUSSIAN DERIVATIVE MODEL FOR MACHINE VISION: VISUAL CORTEX SIMULATION. , 1986 .
[52] M. Gage. On an area-preserving evolution equation for plane curves , 1986 .
[53] G. Strang. Introduction to applied mathematics / Gilbert Strang , 1986 .
[54] Demetri Terzopoulos,et al. Regularization of Inverse Visual Problems Involving Discontinuities , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[55] Michael Brady,et al. The Curvature Primal Sketch , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[56] Berthold K. P. Horn,et al. Filtering Closed Curves , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[57] Farzin Mokhtarian,et al. Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[58] J. Koenderink,et al. The distribution of human motion detector properties in the monocular visual field , 1986, Vision Research.
[59] Hans-Hellmut Nagel,et al. An Investigation of Smoothness Constraints for the Estimation of Displacement Vector Fields from Image Sequences , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[60] Tomaso A. Poggio,et al. On Edge Detection , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[61] Richard A. Young,et al. SIMULATION OF HUMAN RETINAL FUNCTION WITH THE GAUSSIAN DERIVATIVE MODEL. , 1986 .
[62] Stefano Levialdi,et al. Pyramidal Systems for Computer Vision , 2011, NATO ASI Series.
[63] Achim Hummel,et al. Representations Based on Zero-Crossing in Scale-Space-M , 2018, CVPR 1986.
[64] Alan L. Yuille,et al. Scaling Theorems for Zero Crossings , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[65] M. Gage,et al. The heat equation shrinking convex plane curves , 1986 .
[66] John F. Canny,et al. A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[67] Andrew P. Witkin,et al. Uniqueness of the Gaussian Kernel for Scale-Space Filtering , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[68] Andrew Blake,et al. Visual Reconstruction , 1987, Deep Learning for EEG-Based Brain–Computer Interfaces.
[69] Fredrik Bergholm,et al. Edge Focusing , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[70] N. Ahuja,et al. Representation and Three-Dimensional Interpretation of Image Texture: An Integrated Approach , 1987 .
[71] Arthur C. Sanderson,et al. Multiple Resolution Representation and Probabilistic Matching of 2-D Gray-Scale Shape , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[72] J. Norton. EINSTEIN, THE HOLE ARGUMENT AND THE REALITY OF SPACE , 1987 .
[73] M. Grayson. The heat equation shrinks embedded plane curves to round points , 1987 .
[74] R A Young,et al. The Gaussian derivative model for spatial vision: I. Retinal mechanisms. , 1988, Spatial vision.
[75] Benjamin B. Kimia,et al. Deblurring Gaussian blur , 2015, Comput. Vis. Graph. Image Process..
[76] T. Poggio,et al. Visual Integration and Detection of Discontinuities: The Key Role of Intensity Edges , 1987 .
[77] Jitendra Malik,et al. A network for multiscale image segmentation , 1988, 1988., IEEE International Symposium on Circuits and Systems.
[78] James J. Clark. Singularity Theory and Phantom Edges in Scale Space , 1988, IEEE Trans. Pattern Anal. Mach. Intell..
[79] S. Grossberg,et al. Neural dynamics of 1-D and 2-D brightness perception: A unified model of classical and recent phenomena , 1988, Perception & psychophysics.
[80] Anil K. Jain,et al. Algorithms for Clustering Data , 1988 .
[81] Riccardo March,et al. Computation of stereo disparity using regularization , 1988, Pattern Recognit. Lett..
[82] Jan J. Koenderink,et al. Two-dimensional curvature operators , 1988 .
[83] E. Giorgi,et al. Un nuovo tipo di funzionale del calcolo delle variazioni , 1988 .
[84] I. J. Schoenberg. Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions , 1988 .
[85] J. Mandel. Multi-Grid Methods and Applications (Wolfgang Hackbusch) , 1988 .
[86] S. Osher,et al. Algorithms Based on Hamilton-Jacobi Formulations , 1988 .
[87] D. Hubel. Eye, brain, and vision , 1988 .
[88] Riccardo March,et al. A regularization model for stereo vision with controlled continuity , 1989, Pattern Recognit. Lett..
[89] Stéphane Mallat,et al. Multifrequency channel decompositions of images and wavelet models , 1989, IEEE Trans. Acoust. Speech Signal Process..
[90] Ramesh C. Jain,et al. Behavior of Edges in Scale Space , 1989, IEEE Trans. Pattern Anal. Mach. Intell..
[91] James J. Clark. Authenticating Edges Produced by Zero-Crossing Algorithms , 1989, IEEE Trans. Pattern Anal. Mach. Intell..
[92] M. Grayson. Shortening embedded curves , 1989 .
[93] F. A. Seiler,et al. Numerical Recipes in C: The Art of Scientific Computing , 1989 .
[94] Yun-Gang Chen,et al. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations , 1989 .
[95] D. Mumford,et al. Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .
[96] Berthold K. P. Horn,et al. Shape from shading , 1989 .
[97] Jin Luo,et al. Resistive Fuses: Analog Hardware for Detecting Discontinuities in Early Vision , 1989, Analog VLSI Implementation of Neural Systems.
[98] A. Jamiołkowski. Applications of Lie groups to differential equations , 1989 .
[99] Stéphane Mallat,et al. A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..
[100] Lawrence S. Kroll. Mathematica--A System for Doing Mathematics by Computer. , 1989 .
[101] E. D. Giorgi,et al. Existence theorem for a minimum problem with free discontinuity set , 1989 .
[102] J. Keller,et al. Fast reaction, slow diffusion, and curve shortening , 1989 .
[103] D. Geiger,et al. Parallel and deterministic algorithms from MRFs (Markov Random Fields): Surface reconstruction and integration. Memorandum report , 1989 .
[104] J. Norton. Coordinates and covariance: Einstein's view of space-time and the modern view , 1989 .
[105] S. Mallat. Multiresolution approximations and wavelet orthonormal bases of L^2(R) , 1989 .
[106] Thomas J. Richardson,et al. Scale independent piecewise smooth segmentation of images via variational methods , 1990 .
[107] Stephen M. Pizer,et al. A Multiresolution Hierarchical Approach to Image Segmentation Based on Intensity Extrema , 1990, IEEE Trans. Pattern Anal. Mach. Intell..
[108] Niklas Nordström. Biased Anisotropic Diffusion - A Unified Regularization and Diffusion Approach to Edge Detection , 1990, ECCV.
[109] L. Rudin,et al. Feature-oriented image enhancement using shock filters , 1990 .
[110] A. Yuille,et al. A common framework for image segmentation , 1990, [1990] Proceedings. 10th International Conference on Pattern Recognition.
[111] Edward H. Adelson,et al. Steerable filters for early vision, image analysis, and wavelet decomposition , 1990, [1990] Proceedings Third International Conference on Computer Vision.
[112] Niklas K Nordstrom,et al. Variational Edge Detection , 1990 .
[113] R. LeVeque. Numerical methods for conservation laws , 1990 .
[114] Tony Lindeberg,et al. Scale-Space for Discrete Signals , 1990, IEEE Trans. Pattern Anal. Mach. Intell..
[115] David A. Forsyth,et al. Invariant Descriptors for 3D Object Recognition and Pose , 1991, IEEE Trans. Pattern Anal. Mach. Intell..
[116] A. Fordy,et al. Nonlinear Evolution Equations: Integrability and Spectral Methods , 1991 .
[117] John K. Tsotsos,et al. Shape representation and recognition from curvature , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.
[118] Tony Lindeberg,et al. Discrete Scale-Space Theory and the Scale-Space Primal Sketch , 1991 .
[119] Jayant Shah. Segmentation by nonlinear diffusion , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.
[120] M. Carriero,et al. $S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities , 1991 .
[121] S. Angenent. Parabolic equations for curves on surfaces Part II. Intersections, blow-up and generalized solutions , 1991 .
[122] L. Evans,et al. Motion of level sets by mean curvature. II , 1992 .
[123] S. Angenent. On the formation of singularities in the curve shortening flow , 1991 .
[124] Max A. Viergever,et al. Scale-Space: Its Natural Operators and Differential Invariants , 1991, IPMI.
[125] E. Prugovec̆ki. Quantum Geometry: A Framework for Quantum General Relativity , 1992 .
[126] Andrea J. van Doorn,et al. Generic Neighborhood Operators , 1992, IEEE Trans. Pattern Anal. Mach. Intell..
[127] T. Richardson. Limit theorems for a variational problem arising in computer vision , 2019 .
[128] Petros Maragos,et al. Evolution equations for continuous-scale morphology , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.
[129] Max A. Viergever,et al. A complete and irreducible set of local orthogonally invariant features of 2-dimensional images , 1992, Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. III. Conference C: Image, Speech and Signal Analysis,.
[130] Kjell Brunnström,et al. Active Detection and Classsification of Junctions by Foveation with a Head-Eye System Guided by the Scale-Space Primal Sketch , 1992, ECCV.
[131] Max A. Viergever,et al. Scale and the differential structure of images , 1992, Image Vis. Comput..
[132] Tai Sing Lee,et al. Texture Segmentation by Minimizing Vector-Valued Energy Functionals: The Coupled-Membrane Model , 1992, ECCV.
[133] Roland Wilson,et al. Kernel Designs for Efficient Multiresolution Edge Detection and Orientation Estimation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..
[134] Pietro Perona. Steerable-scalable kernels for edge detection and junction analysis , 1992, Image Vis. Comput..
[135] Ronald D. Chaney. Analytical representation of contours , 1992, Other Conferences.
[136] Richard Evan Schwartz,et al. The Pentagram Map , 1992, Exp. Math..
[137] Andrew Zisserman,et al. Geometric invariance in computer vision , 1992 .
[138] R. Kikinis,et al. Routine quantitative analysis of brain and cerebrospinal fluid spaces with MR imaging , 1992, Journal of magnetic resonance imaging : JMRI.
[139] Riccardo March,et al. Visual reconstruction with discontinuities using variational methods , 1992, Image Vis. Comput..
[140] David J. Hawkes,et al. Early image representation using regions defined by maximum gradient paths between singular points , 1992, Pattern Recognit..
[141] Max A. Viergever,et al. Families of Tuned Scale-Space Kernels , 1992, ECCV.
[142] Guido Gerig,et al. Unsupervised tissue type segmentation of 3D dual-echo MR head data , 1992, Image Vis. Comput..
[143] J. Sethian,et al. Crystal growth and dendritic solidification , 1992 .
[144] B. Kimia. Toward a computational theory of shape , 1992 .
[145] P. Lions,et al. Image selective smoothing and edge detection by nonlinear diffusion. II , 1992 .
[146] Max A. Viergever,et al. Probabilistic multiscale image segmentation: set-up and first results (Proceedings Only) , 1992, Other Conferences.
[147] Wesley E. Snyder,et al. Mean field annealing: a formalism for constructing GNC-like algorithms , 1992, IEEE Trans. Neural Networks.
[148] Guido Gerig,et al. Nonlinear anisotropic filtering of MRI data , 1992, IEEE Trans. Medical Imaging.
[149] Farzin Mokhtarian,et al. A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..
[150] Jitendra Malik,et al. Computational framework for determining stereo correspondence from a set of linear spatial filters , 1992, Image Vis. Comput..
[151] Jean-Michel Morel,et al. A variational method in image segmentation: Existence and approximation results , 1992 .
[152] Giulio Sandini,et al. Dynamic aspects in active vision , 1992, CVGIP Image Underst..
[153] P. Lions,et al. User’s guide to viscosity solutions of second order partial differential equations , 1992, math/9207212.
[154] J. Koenderink,et al. Invariant Third Order Properties of Isophotes: T-Junction Detection , 1992 .
[155] Max A. Viergever,et al. General Intensity Transformations and Second Order Invariants , 1992 .
[156] Tony Lindeberg,et al. Effective Scale: A Natural Unit for Measuring Scale-Space Lifetime , 1993, IEEE Trans. Pattern Anal. Mach. Intell..
[157] Ross T. Whitaker,et al. A multi-scale approach to nonuniform diffusion , 1993 .
[158] V. Caselles,et al. A geometric model for active contours in image processing , 1993 .
[159] Yun-Gang Chen,et al. Numerical Analysis for Motion of a Surface by Its Mean Curvature , 1993 .
[160] P. Lions,et al. Shape-from-shading, viscosity solutions and edges , 1993 .
[161] Luc Vincent,et al. Mathematical morphology: The Hamilton-Jacobi connection , 1993, 1993 (4th) International Conference on Computer Vision.
[162] Guillermo Sapiro,et al. Formulating invariant heat-type curve flows , 1993, Optics & Photonics.
[163] Ross T. Whitaker. Geometry-limited diffusion , 1993 .
[164] James M. Coggins,et al. Using Statistical Pattern Recognition Techniques to Control Variable Conductance Diffusion , 1993, IPMI.
[165] Jitendra Malik,et al. A differential method for computing local shape-from-texture for planar and curved surfaces , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.
[166] S. Zeki. A vision of the brain , 1993 .
[167] Olivier D. Faugeras,et al. Cartan's Moving Frame Method and Its Application to the Geometry and Evolution of Curves in the Euclidean, Affine and Projective Planes , 1993, Applications of Invariance in Computer Vision.
[168] Alan Liu,et al. Multiscale Medial Analysis of Medical Images , 1993, IPMI.
[169] John Oliensis. Local Reproducible Smoothing Without Shrinkage , 1993, IEEE Trans. Pattern Anal. Mach. Intell..
[170] Max A. Viergever,et al. Higher Order Differential Structure of Images , 1993, IPMI.
[171] C. Lopez,et al. Axiomatization of shape analysis and application to texture hyperdiscrimination , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.
[172] Jan J. Koenderink,et al. Spatial Derivatives and the Propagation of Noise in Gaussian Scale Space , 1993, J. Vis. Commun. Image Represent..
[173] Tony Lindeberg,et al. Scale selection for differential operators , 1994 .
[174] D. Eberly. Geometric methods for analysis of ridges in n-dimensional images , 1994 .
[175] Tony Lindeberg. Discrete derivative approximations with scale-space properties , 1994 .
[176] Tony Lindeberg,et al. Scale-Space for N-Dimensional Discrete Signals , 1994 .
[177] Alan Liu,et al. Volume registration using the 3D core , 1994, Other Conferences.
[178] Tony Lindeberg,et al. Direct Estimation of Local Surface Shape in a Fixating Binocular Vision System , 1994, ECCV.
[179] S. Pizer,et al. Geometry-based Image Segmentation Using Anisotropic Diffusion , 1994 .
[180] Max A. Viergever,et al. Nonlinear scale-space , 1995, Image Vis. Comput..
[181] Luc Van Gool,et al. Coupled Geometry-Driven Diffusion Equations for Low-Level Vision , 1994, Geometry-Driven Diffusion in Computer Vision.
[182] Azriel Rosenfeld,et al. A Pyramid Framework for Early Vision , 1994 .
[183] Max A. Viergever,et al. Images: Regular Tempered Distributions , 1994 .
[184] P. Olver. Differential invariants , 1995 .
[185] Guillermo Sapiro,et al. Area and Length Preserving Geometric Invariant Scale-Spaces , 1995, IEEE Trans. Pattern Anal. Mach. Intell..
[186] P. Olver. Equivalence, Invariants, and Symmetry: References , 1995 .
[187] Baba C. Vemuri,et al. Shape Modeling with Front Propagation: A Level Set Approach , 1995, IEEE Trans. Pattern Anal. Mach. Intell..
[188] Minying Chen,et al. 187 , 2022 .