A Discontinuous Galerkin Method for the Subjective Surfaces Problem
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[1] Tony F. Chan,et al. Active contours without edges , 2001, IEEE Trans. Image Process..
[2] Timothy J. Barth,et al. The design and application of upwind schemes on unstructured meshes , 1989 .
[3] Karol Mikula,et al. Inflow-implicit/outflow-explicit finite volume methods for solving advection equations , 2014 .
[4] Balthasar Reuter,et al. FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part II: Advection operator and slope limiting , 2016, Comput. Math. Appl..
[5] G. Kanizsa. Subjective contours. , 1976, Scientific American.
[6] Bernardo Cockburn,et al. The local discontinuous Galerkin method for contaminant transport , 2000 .
[7] Alex M. Andrew,et al. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition) , 2000 .
[8] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .
[9] Karol Mikula,et al. Parallel Co-Volume Subjective Surface Method For 3d Medical Image Segmentation , 2007 .
[10] Bernardo Cockburn,et al. Local Discontinuous Galerkin Methods for the Stokes System , 2002, SIAM J. Numer. Anal..
[11] Béatrice Rivière,et al. Discontinuous Galerkin methods for solving elliptic and parabolic equations - theory and implementation , 2008, Frontiers in applied mathematics.
[12] Clint Dawson,et al. The Local Discontinuous Galerkin Method for Contaminant Transport Problems , 2000 .
[13] A. Govardhan,et al. Active Contours and Image Segmentation: The Current State Of the Art , 2012 .
[14] Eric T. Chung,et al. A staggered discontinuous Galerkin method for the convection–diffusion equation , 2012, J. Num. Math..
[15] Chi-Wang Shu,et al. Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction , 2007, SIAM J. Numer. Anal..
[16] Benjamin Stamm,et al. A Total Variation Discontinuous Galerkin Approach for Image Restoration , 2015 .
[17] Dmitri Kuzmin,et al. A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods , 2010, J. Comput. Appl. Math..
[18] K. Mikula,et al. Flux-based level set method: A finite volume method for evolving interfaces , 2007 .
[19] Karol Mikula,et al. High-Resolution Flux-Based Level Set Method , 2007, SIAM J. Sci. Comput..
[20] D. Mumford,et al. Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .
[21] Andreas Dedner,et al. Finite Element Surface Registration Incorporating Curvature, Volume Preservation, and Statistical Model Information , 2013, Comput. Math. Methods Medicine.
[22] Jitendra Malik,et al. Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..
[23] L. Evans,et al. Motion of level sets by mean curvature. II , 1992 .
[24] Per-Olof Persson,et al. The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems , 2007, SIAM J. Sci. Comput..
[25] Clinton N Dawson,et al. A discontinuous Galerkin method for two-dimensional flow and transport in shallow water , 2002 .
[26] Alessandro Sarti,et al. Semi-Implicit Covolume Method in 3D Image Segmentation , 2006, SIAM J. Sci. Comput..
[27] James A. Sethian,et al. Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid , 2012 .
[28] Ronald Fedkiw,et al. Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.
[29] K. Mikula,et al. Co-Volume Level Set Method in Subjective Surface Based Medical Image Segmentation , 2005 .
[30] Guillermo Sapiro,et al. Geodesic Active Contours , 1995, International Journal of Computer Vision.
[31] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[32] J. Michael Fried,et al. Multichannel image segmentation using adaptive finite elements , 2009 .
[33] W. H. Reed,et al. Triangular mesh methods for the neutron transport equation , 1973 .
[34] Georg May,et al. An Adaptive Multiwavelet-Based DG Discretization for Compressible Fluid Flow , 2011 .
[35] Nicolai Petkov,et al. Edge and line oriented contour detection: State of the art , 2011, Image Vis. Comput..
[36] S. Osher,et al. Algorithms Based on Hamilton-Jacobi Formulations , 1988 .
[37] Guido Kanschat,et al. A locally conservative LDG method for the incompressible Navier-Stokes equations , 2004, Math. Comput..
[38] J. Sethian. Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws , 1990 .
[39] Michael Fried,et al. Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem , 2018, Comput. Vis. Sci..
[40] A. Sarti,et al. Subjective surfaces and Riemannian mean curvature flow of graphs. , 2001 .
[41] Tony F. Chan,et al. Some Recent Developments in Variational Image Segmentation , 2007 .
[42] P. Saint-Marc,et al. Active contour models: overview, implementation and applications , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.
[43] Balthasar Reuter,et al. FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part I: Diffusion operator , 2014, Comput. Math. Appl..
[44] Martin Rumpf,et al. PDE methods in flow simulation post processing , 2000 .
[45] R Malladi,et al. Subjective surfaces: a method for completing missing boundaries. , 2000, Proceedings of the National Academy of Sciences of the United States of America.
[46] Vadym Aizinger,et al. A Geometry Independent Slope Limiter for the Discontinuous Galerkin Method , 2011 .
[47] Tony F. Chan,et al. Active Contours without Edges for Vector-Valued Images , 2000, J. Vis. Commun. Image Represent..
[48] Fiorella Sgallari,et al. Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution , 2003, Numerische Mathematik.
[49] G. Sapiro,et al. Geometric partial differential equations and image analysis [Book Reviews] , 2001, IEEE Transactions on Medical Imaging.
[50] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[51] Maharavo Randrianarivony,et al. Adaptive Discontinuous Galerkin B-Splines on Parametric Geometries , 2007, ICCSA.
[52] J. Kacur,et al. Solution of nonlinear diffusion appearing in image smoothing and edge detection , 1995 .
[53] Demetri Terzopoulos,et al. Snakes: Active contour models , 2004, International Journal of Computer Vision.
[54] Laurent D. Cohen,et al. Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images , 1993, IEEE Trans. Pattern Anal. Mach. Intell..
[55] J. Sethian,et al. Subjective surfaces: a geometric model for boundary completion , 2000 .
[56] Eberhard Bänsch,et al. Adaptivity in 3D image processing , 2001 .
[57] Fugen Zhou,et al. A Discontinuous Finite Element Method for Image Denoising , 2006, ICIAR.
[58] K. Mikula,et al. A coarsening finite element strategy in image selective smoothing , 1997 .
[59] K. Mikula,et al. Embryogenesis Image Segmentation by the Generalized Subjective Surfaces Method using the Finite Volume Technique , .