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Geometric Curve Evolution and Image Processing
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160420503openalex-snapshot
Optimal approximations by piecewise smooth functions and associated variational problems
inferredcites →https://doi.org/10.1007/0-387-31071-1openalex-snapshot
Controlled Markov Processes and Viscosity Solutions
inferredcites →https://doi.org/10.1007/1-4020-2081-3_4openalex-snapshot
Gestalt Theory and Computer Vision
inferredcites →https://doi.org/10.1007/3-540-48236-9_30openalex-snapshot
Geometric Multiscale Representation of Numerical Images
inferredcites →https://doi.org/10.1007/3-540-76076-8_120openalex-snapshot
An algorithm for generating motion by mean curvature
inferredcites →https://doi.org/10.1007/978-1-4471-3702-3_4openalex-snapshot
State of the Art in Shape Matching
inferredcites →https://doi.org/10.1007/978-1-4615-9831-2_20openalex-snapshot
On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations
inferredcites →https://doi.org/10.1007/978-1-4757-6465-9openalex-snapshot
Scale-Space Theory in Computer Vision
inferredcites →https://doi.org/10.1007/978-3-540-36392-7_4openalex-snapshot
4. Curve evolution and level sets
inferredcites →https://doi.org/10.1007/978-3-540-36392-7_6openalex-snapshot
6. A geometrical scheme for curve evolution
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-94-011-1278-9_2openalex-snapshot
Finite-Difference Methods
inferredcites →https://doi.org/10.1007/bf00049574openalex-snapshot
Applications of lie groups to differential equations
inferredcites →https://doi.org/10.1007/bf00281780openalex-snapshot
The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
inferredcites →https://doi.org/10.1007/bf00375127openalex-snapshot
Axioms and fundamental equations of image processing
inferredcites →https://doi.org/10.1007/bf01210742openalex-snapshot
Curvature and the evolution of fronts
inferredcites →https://doi.org/10.1007/bf02765025openalex-snapshot
A remark on regularization in Hilbert spaces
inferredcites →https://doi.org/10.1007/bfb0094298openalex-snapshot
Front propagation: Theory and applications
inferredcites →https://doi.org/10.1007/s002110050228openalex-snapshot
Convergent difference schemes for nonlinear parabolic equations and mean curvature motion
inferredcites →https://doi.org/10.1016/0021-9991(88)90002-2openalex-snapshot
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
inferredcites →https://doi.org/10.1016/0022-0396(90)90068-zopenalex-snapshot
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
inferredcites →https://doi.org/10.1016/0146-664x(82)90078-8openalex-snapshot
Image analysis and mathematical morphology
inferredcites →https://doi.org/10.1016/0734-189x(85)90041-6openalex-snapshot
Perceptual organization and visual recognition
inferredcites →https://doi.org/10.1016/b978-0-08-051581-6.50036-2openalex-snapshot
SCALE-SPACE FILTERING
inferredcites →https://doi.org/10.1016/s0021-7824(01)80003-9openalex-snapshot
Partial differential equations and mathematical morphology
inferredcites →https://doi.org/10.1016/s0168-9274(96)00072-4openalex-snapshot
Solution of nonlinear curvature driven evolution of plane convex curves
inferredcites →https://doi.org/10.1017/cbo9780511626319openalex-snapshot
Geometric Partial Differential Equations and Image Analysis
inferredcites →https://doi.org/10.1017/s0962492900002415openalex-snapshot
Formalization and computational aspects of image analysis
inferredcites →https://doi.org/10.1023/a:1006295328209openalex-snapshot
Affine Invariant Detection: Edge Maps, Anisotropic Diffusion, and Active Contours
inferredcites →https://doi.org/10.1023/a:1011290230196openalex-snapshot
Edge Detection by Helmholtz Principle
inferredcites →https://doi.org/10.1037/h0054663openalex-snapshot
Some informational aspects of visual perception.
inferredcites →https://doi.org/10.1090/memo/0520openalex-snapshot
Elliptic regularization and partial regularity for motion by mean curvature
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0934877-2openalex-snapshot
A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0690039-8openalex-snapshot
Viscosity solutions of Hamilton-Jacobi equations
inferredcites →https://doi.org/10.1093/oso/9780198502456.001.0001openalex-snapshot
Functions of Bounded Variation and Free Discontinuity Problems
inferredcites →https://doi.org/10.1109/34.149591openalex-snapshot
A theory of multiscale, curvature-based shape representation for planar curves
inferredcites →https://doi.org/10.1109/34.24793openalex-snapshot
A representation theory for morphological image and signal processing
inferredcites →https://doi.org/10.1109/34.56205openalex-snapshot
Scale-space and edge detection using anisotropic diffusion
inferredcites →https://doi.org/10.1109/83.661188openalex-snapshot
An axiomatic approach to image interpolation
inferredcites →https://doi.org/10.1109/cvpr.1993.341046openalex-snapshot
Axiomatization of shape analysis and application to texture hyperdiscrimination
inferredcites →https://doi.org/10.1109/tpami.1986.4767851openalex-snapshot
A Computational Approach to Edge Detection
inferredcites →https://doi.org/10.1137/0729052openalex-snapshot
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
inferredcites →https://doi.org/10.1137/0732085openalex-snapshot
A Morphological Scheme for Mean Curvature Motion and Applications to Anisotropic Diffusion and Motion of Level Sets
inferredcites →https://doi.org/10.1137/s0036139994266311openalex-snapshot
Invariant Geometric Evolutions of Surfaces and Volumetric Smoothing
inferredcites →https://doi.org/10.1137/s0036139995287685openalex-snapshot
Computable Elastic Distances Between Shapes
inferredcites →https://doi.org/10.1137/s0036139999359288openalex-snapshot
Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
inferredcites →https://doi.org/10.1137/s0036141001384958openalex-snapshot
A Mathematical Model of the Wearing Process of a Nonconvex Stone
inferredcites →https://doi.org/10.1137/s0036142900370459openalex-snapshot
Convergence of an Approximation Scheme for Curvature-Dependent Motions of Sets
inferredcites →https://doi.org/10.1137/s036301299934864xopenalex-snapshot
On a Class of Diffeomorphic Matching Problems in One Dimension
inferredcites →https://doi.org/10.1145/362588.362594openalex-snapshot
On the optimal detection of curves in noisy pictures
inferredcites →https://doi.org/10.1201/9780203747940openalex-snapshot
Measure Theory and Fine Properties of Functions
inferredcites →https://doi.org/10.1215/s0012-7094-89-05825-0openalex-snapshot
A short note on the evolution of a surface by its mean curvature
inferredcites →https://doi.org/10.14943/647openalex-snapshot
Surface Evolution Equations --- a level set method ---
inferredcites →https://doi.org/10.14943/83525openalex-snapshot
On pinching of curves moved by surface diffusion
inferredcites →https://doi.org/10.1515/9783110870473.124openalex-snapshot
Variational approximation of the geometric motion of fronts
inferredcites →https://doi.org/10.3792/pjaa.67.323openalex-snapshot
Remarks on viscosity solutions for evolution equations
inferredcites →https://doi.org/10.4171/ifb/15openalex-snapshot
Error bounds for a difference scheme approximating viscosity solutions of mean curvature flow
inferredcites →https://doi.org/10.4310/ajm.1998.v2.n1.a2openalex-snapshot
A distance comparison principle for evolving curves
inferredcites →https://doi.org/10.4310/jdg/1214438998openalex-snapshot
Flow by mean curvature of convex surfaces into spheres
inferredcites →https://doi.org/10.4310/jdg/1214439902openalex-snapshot
The heat equation shrinking convex plane curves
inferredcites →https://doi.org/10.4310/jdg/1214441371openalex-snapshot
The heat equation shrinks embedded plane curves to round points
inferredcites →https://doi.org/10.4310/jdg/1214444099openalex-snapshot
Asymptotic behavior for singularities of the mean curvature flow
inferredcites →https://doi.org/10.4310/jdg/1214446559openalex-snapshot
Motion of level sets by mean curvature. I
inferredcites →https://doi.org/10.4310/jdg/1214446564openalex-snapshot
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
inferredcites →https://doi.org/10.4310/jdg/1214454300openalex-snapshot
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
inferredcites →https://doi.org/10.4310/jdg/1214458529openalex-snapshot
Level set approach to mean curvature flow in arbitrary codimension
inferredcites →https://doi.org/10.57262/die/1356061126openalex-snapshot
Convergence of an approximation scheme for computing motions with curvature dependent velocities
inferredcites →https://doi.org/10.5860/choice.33-5770aopenalex-snapshot
Equivalence, invariants, and symmetry
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A deterministic‐control‐based approach motion by curvature
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Improvement in cytoarchitectonic mapping by combining electrodynamic modeling with local orientation in high‐resolution images of the cerebral cortex
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Length-preserving evolution of non-simple symmetric plane curves
inferred← citeshttps://doi.org/10.1002/mma.4262openalex-snapshot
Evolution of highly symmetric curves under the shrinking curvature flow
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New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02
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Partial Differential Equations for Morphological Operators
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The Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set
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Artificial Intelligence in Online Stores’ Processes
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Hamilton-Jacobi Equations and Mathematical Morphology in Pseudo-Riemannian Manifolds
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A Newton-type Total Variation Diminishing Flow
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Numerical Invariantization for Morphological PDE Schemes
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Combining Curvature Motion and Edge-Preserving Denoising
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Shape Evolution Driven by a Perceptually Motivated Measure
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A Nonlinear Transfer Technique for Renorming
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Computational Geometry-Based Scale-Space and Modal Image Decomposition
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Group invariant solutions to a centro-affine invariant flow
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On some simple examples of non-parabolic curve flows in the plane
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Large exponent behavior for power-type nonlinear evolution equations and applications
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Evolution of nonsimple curves in the length-preserving locally constrained inverse curvature flow
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The curve shortening problem under Robin boundary condition
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Minimizing Movements for the Generalized Power Mean Curvature Flow
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Denoising of point cloud data for computer-aided design, engineering, and manufacturing
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Development of a 2D and 3D computational algorithm for discontinuity structural geometry identification by artificial intelligence based on image processing techniques
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Curve shortening in a Riemannian manifold
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On the Decomposition of Cell Clusters
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Anisotropic Smoothness Classes: From Finite Element Approximation to Image Models
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On the Local Form and Transitions of Pre-symmetry Sets
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Locally Adaptive Frames in the Roto-Translation Group and Their Applications in Medical Imaging
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Silhouette Vectorization by Affine Scale-Space
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An Active Contour Model for Silhouette Vectorization using Bézier Curves
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RETRACTED ARTICLE: Optical quantum modeling for Heisenberg ferromagnetic normalized phase
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Exact number of local extreme points of curvature function of solutions of second-order linear differential equations
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A spectral-Galerkin method for the level set equation of power mean curvature flow
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Classifying Convex Compact Ancient Solutions to the Affine Curve Shortening Flow
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Prediction of Separation Performance of Dry High Intensity Magnetic Separator for Processing of Para-Magnetic Minerals
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PDEs for Morphological Scale Spaces and Eikonal Applications
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Parametric finite element method for a nonlocal curvature flow
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Spectral moving removal of non-isolated surface outlier clusters
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A new structure-preserving parametric finite element method for solving geometric flows of closed curves
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Intrinsic nonlinear multiscale image decomposition: A 2D empirical mode decomposition-like tool
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Optical directional binormal magnetic flows with geometric phase: Heisenberg ferromagnetic model
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Polarization of propagated light with optical solitons along the fiber in de-sitter space S12
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The evolution of gradient flow minimizing the anisoperimetric ratio of convex plane curves
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Symmetry reductions and exact solutions of the affine heat equation
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Deforming convex curves with fixed elastic energy
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A dissipative hyperbolic affine curve flow
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Locally constrained inverse curvature flows for plane curves and isoperimetric-type inequalities
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Some qualitative properties for geometric flows and its Euler implicit discretization
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Radial symmetries based decomposition of cell clusters in binary and gray level images
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Hyperbolic mean curvature flow: evolution of plane curves
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Partial Differential Equation Methods for Image Inpainting
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Grid Peeling and the Affine Curve-Shortening Flow
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Symmetries and invariant solutions for the geometric heat flows
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Generalized elastic translating solitons
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An obstacle problem arising in large exponent limit of power mean curvature flow equation
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Existence of convex hypersurfaces with prescribed centroaffine curvature
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Numerical methods for motion of level sets by affine curvature
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Curvature Scale Space Technique in Computer Vision: Basic Concept and Theoretical Developments
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Curve Shortening and its Application to Multi-Agent Systems
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Micrographic Image Segmentation Using Level Set Model based on Possibilistic C-Means Clustering
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Extraction of weld defect from radiographic images using the level set segmentation without re-initialization
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Detection method of cerebral aneurysm based on curvature analysis from 3D medical images
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Accurate Silhouette Vectorization by Affine Scale-Space
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Matching 2D Shapes using their Symmetry Sets
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Speckle reduction on ultrasound image by variational methods and adaptive lagrangian multipliers
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Active Mask Segmentation of Fluorescence Microscope Images
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The Elastic Ratio: Introducing Curvature Into Ratio-Based Image Segmentation
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Computation of Level-Set Components From Level Lines
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Learning to Diffuse: A New Perspective to Design PDEs for Visual Analysis
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Detection of defects in weld radiographic images by using multi-scale GVF B-spline snake
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Upper airways segmentation using principal curvatures
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Multiresolution multiscale active mask segmentation of fluorescence microscope images
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Extraction of weld defects dimension from radiographic images using the level set segmentation without re-initialization
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Image Visualization and Restoration by Curvature Motions
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Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows
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A Formalization of Image Vectorization by Region Merging
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Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in Minkowski space with Bishop equations
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A non-local expanding flow of convex closed curves in the plane
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Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space
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Geometric magnetic phase for timelike spherical optical ferromagnetic model
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Motions of Curves in 4-Dimensional Galilean Space G4
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Artistic line-drawings retrieval based on the pictorial content
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Generated Surfaces via Inextensible Flows of Curves in R3
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Background-foreground segmentation for interior sensing in automotive industry
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Hyperbolic curve flows in the plane
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Curvature Driven Interface Evolution
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nAdder: A scale-space approach for the 3D analysis of neuronal traces
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A Remark on the Discrete Deterministic Game Approach for Curvature Flow Equations
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An area minimizing scheme for anisotropic mean curvature flow
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Evolving convex curves to constant-width ones by a perimeter-preserving flow
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An automatic stopping criterion for nonlinear anisotropic diffusion
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The Role of Metrics in the Theory of Partial Differential Equations
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Additive operator splitting scheme for a general mean curvature flow and application in edges enhancement
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An area minimizing scheme for anisotropic mean curvature flow
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The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
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Classification of Transformed and Geometrically Distorted Images using Convolutional Neural Network
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Median values, 1-harmonic functions, and functions of least gradient
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Evolution of null Cartan and pseudo null curves via the Bishop frame in Minkowski space $ \mathbb{R}^{2, 1} $
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Beltrami Denoising Algorithm for Ink-Jet Printing Material Image
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Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows
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Hyperbolic mean curvature flow: Evolution of plane curves
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Adaptive and anisotropic finite element approximation : Theory and algorithms
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Median values, 1-harmonic functions, and functions of least gradient
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Evolution of Locally Convex Closed Curves in Nonlocal Curvature Flows
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A Morphological Multiphase Active Contour for Vascular Segmentation
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Segmentation of Welding Defects using Level Set Methods
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An area minimizing scheme for anisotropic mean curvature flow
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Propriétés analytiques des solutions de viscosité des équations integro-différentielles : visualisation et restauration d'images par mouvements de courbure
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