Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)

Fast Implicit Active Contour Models

Proceedings of the 24th DAGM Symposium on Pattern Recognition

3D Reconstruction of Stereo Images for Interaction between Real and Virtual Worlds

ISMAR '03 Proceedings of the 2nd IEEE/ACM International Symposium on Mixed and Augmented Reality

A fast multi-scale edge detection algorithm

Pattern Recognition Letters

Vector-Valued Image Regularization with PDEs: A Common Framework for Different Applications

IEEE Transactions on Pattern Analysis and Machine Intelligence

Dual Norms and Image Decomposition Models

International Journal of Computer Vision

Detecting Codimension--Two Objects in an Image with Ginzburg-Landau Models

International Journal of Computer Vision

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

Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's

International Journal of Computer Vision

Piecewise-Smooth Dense Optical Flow via Level Sets

International Journal of Computer Vision

Domain decomposition methods in image denoising using Gaussian curvature

Journal of Computational and Applied Mathematics

Error Analysis for Image Inpainting

Journal of Mathematical Imaging and Vision

Prior-based Segmentation and Shape Registration in the Presence of Perspective Distortion

International Journal of Computer Vision

Inverse Scale Spaces for Nonlinear Regularization

Journal of Mathematical Imaging and Vision

A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data

Journal of Computational Physics

Wavelet-based diffusion approaches for signal denoising

Signal Processing

Image Segmentation Using Some Piecewise Constant Level Set Methods with MBO Type of Projection

International Journal of Computer Vision

Image sequence inpainting: towards numerical software for detection and removal of local missing data via motion estimation

Journal of Computational and Applied Mathematics - Special issue: Applied computational inverse problems

A Linear 3D Elastic Segmentation Model for Vector Fields. Application to the Heart Segmentation in MRI

Journal of Mathematical Imaging and Vision

Graph regularization for color image processing

Computer Vision and Image Understanding

A gentle introduction to bilateral filtering and its applications

ACM SIGGRAPH 2007 courses

Fast Image Inpainting Based on Coherence Transport

Journal of Mathematical Imaging and Vision

Cooperation of the partial differential equation methods and the wavelet transform for the segmentation of multivalued images

Image Communication

First-order modeling and stability analysis of illusory contours

Journal of Visual Communication and Image Representation

The Perona---Malik Method as an Edge Pruning Algorithm

Journal of Mathematical Imaging and Vision

Edge-preserving decompositions for multi-scale tone and detail manipulation

ACM SIGGRAPH 2008 papers

From Inpainting to Active Contours

International Journal of Computer Vision

Topological derivative: A tool for image processing

Computers and Structures

Non-negative sparse coding shrinkage for image denoising using normal inverse Gaussian density model

Image and Vision Computing

Image Compression with Anisotropic Diffusion

Journal of Mathematical Imaging and Vision

Patch-based image classification through conditional random field model

Proceedings of the 3rd international conference on Mobile multimedia communications

2D Image-based reconstruction of shape deformation of biological structures using a level-set representation

Computer Vision and Image Understanding

Geometry-Driven Nonlinear Equation with an Accelerating Coupled Scheme for Image Enhancement

ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007

Dynamic Color Texture Modeling and Color Video Decomposition Using Bounded Variation and Oscillatory Functions

ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing

Fast PDE approach to surface reconstruction from large cloud of points

Computer Vision and Image Understanding

Sparse Approximation of Currents for Statistics on Curves and Surfaces

MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II

A Continuous Labeling for Multiphase Graph Cut Image Partitioning

ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing

Graph-based tools for microscopic cellular image segmentation

Pattern Recognition

Image Processing by Topological Asymptotic Expansion

Journal of Mathematical Imaging and Vision

A Digital Image Denoising Method with Edge Preservation Using Dyadic Lifting Schemes

PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology

A new energy-based method for 3D motion estimation of incompressible PIV flows

Computer Vision and Image Understanding

Geometrical PDEs based on second-order derivatives of gauge coordinates in image processing

Image and Vision Computing

Local and Nonlocal Discrete Regularization on Weighted Graphs for Image and Mesh Processing

International Journal of Computer Vision

Some First-Order Algorithms for Total Variation Based Image Restoration

Journal of Mathematical Imaging and Vision

Extrapolation of Vector Fields Using the Infinity Laplacian and with Applications to Image Segmentation

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Multiplicative Noise Cleaning via a Variational Method Involving Curvelet Coefficients

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Projected Gradient Based Color Image Decomposition

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Locally Adaptive Total Variation Regularization

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Anisotropic Smoothing Using Double Orientations

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Theoretical Foundations for Discrete Forward-and-Backward Diffusion Filtering

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

An Algebraic Approach to Lens Distortion by Line Rectification

Journal of Mathematical Imaging and Vision

A Statistical Overlap Prior for Variational Image Segmentation

International Journal of Computer Vision

On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration

Journal of Mathematical Imaging and Vision

Text line segmentation in handwritten documents using Mumford-Shah model

Pattern Recognition

A grid based particle method for evolution of open curves and surfaces

Journal of Computational Physics

Integrating the Normal Field of a Surface in the Presence of Discontinuities

EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition

Compressive Algorithms--Adaptive Solutions of PDEs and Variational Problems

Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII

Active contours driven by local Gaussian distribution fitting energy

Signal Processing

Multiregion competition: A level set extension of region competition to multiple region image partitioning

Computer Vision and Image Understanding

Finite element techniques for removing the mixture of Gaussian and impulsive noise

IEEE Transactions on Signal Processing

Color Image Segmentation Based on Vectorial Multiscale Diffusion with Inter-scale Linking

PReMI '09 Proceedings of the 3rd International Conference on Pattern Recognition and Machine Intelligence

Data processing in studying the temporomandibular joint, using MR imaging and sonographic techniques

DSP'09 Proceedings of the 16th international conference on Digital Signal Processing

Nonlinear optimisation method for image segmentation and noise reduction using geometrical intrinsic properties

Image and Vision Computing

Weighted and extended total variation for image restoration and decomposition

Pattern Recognition

Active contours driven by local image fitting energy

Pattern Recognition

Active contours with selective local or global segmentation: A new formulation and level set method

Image and Vision Computing

Infinite Photography: New Mathematical Model for High-Resolution Images

Journal of Mathematical Imaging and Vision

Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients

Journal of Mathematical Imaging and Vision

Multi-component image segmentation in homogeneous regions based on description length minimization: Application to speckle, Poisson and Bernoulli noise

Pattern Recognition

Segmentation of external force field for automatic initialization and splitting of snakes

Pattern Recognition

A note on the discrete binary Mumford-Shah model

MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques

Combined detector of locally-oriented structures and corners in images based on a scale-space tensor representation of local neighborhoods of pixels

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Counter-examples for Bayesian MAP restoration

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

Uniform and textured regions separation in natural images towards MPM adaptive denoising

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

A TV-stokes denoising algorithm

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

Bounds on the minimizers of (nonconvex) regularized least-squares

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

Curve evolution in subspaces

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

Detecting regions of dynamic texture

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision

Classification of optical flow by constraints

CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns

On the total variation dictionary model

IEEE Transactions on Image Processing

Qualitative and quantitative behaviour of geometrical PDEs in image processing

ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I

Scale selection for anisotropic diffusion filter by Markov random field model

Pattern Recognition

Noise removal based on the variation of digitized energy

GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing

Eeg-fmri fusion of paradigm-free activity using kalman filtering

Neural Computation

Efficient numerical schemes for gradient vector flow

ICIP'09 Proceedings of the 16th IEEE international conference on Image processing

Effective level set image segmentation with a kernel induced data term

IEEE Transactions on Image Processing

Mathematical Modeling of Textures: Application to Color Image Decomposition with a Projected Gradient Algorithm

Journal of Mathematical Imaging and Vision

Generalised Nonlocal Image Smoothing

International Journal of Computer Vision

Comments on "Staircase effect alleviation by coupling gradient fidelity term"

Image and Vision Computing

A two-step model for image denoising using a duality strategy and surface fitting

Journal of Computational and Applied Mathematics

Anisotropic diffusion for effective shape corner point detection

Pattern Recognition Letters

A variationally based weighted re-initialization method for geometric active contours

ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro

Robust web image/video super-resolution

IEEE Transactions on Image Processing

Iterative methods for anisotropic diffusion of speckled medical images

Applied Numerical Mathematics

On Restricting Planar Curve Evolution to Finite Dimensional Implicit Subspaces with Non-Euclidean Metric

Journal of Mathematical Imaging and Vision

Smoothing, enhancing filters in terms of backward stochastic differential equations

ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I

An orthogonal matching pursuit algorithm for image denoising on the cell broadband engine

PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I

Error-tolerant image compositing

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I

Minimization of monotonically levelable higher order MRF energies via graph cuts

IEEE Transactions on Image Processing

Fast nonconvex nonsmooth minimization methods for image restoration and reconstruction

IEEE Transactions on Image Processing

Distance regularized level set evolution and its application to image segmentation

IEEE Transactions on Image Processing

A weberized total variation regularization-based image multiplicative noise removal algorithm

EURASIP Journal on Advances in Signal Processing

A Duality-Based Splitting Method for $\ell^1$-$TV$ Image Restoration with Automatic Regularization Parameter Choice

SIAM Journal on Scientific Computing

Application of the Topological Gradient Method to Color Image Restoration

SIAM Journal on Imaging Sciences

A Multiphase Image Segmentation Method Based on Fuzzy Region Competition

SIAM Journal on Imaging Sciences

Multigrid Algorithm for High Order Denoising

SIAM Journal on Imaging Sciences

Multiplicative noise removal via a novel variational model

Journal on Image and Video Processing - Special issue on emerging methods for color image and video quality enhancement

Local Laplacian filters: edge-aware image processing with a Laplacian pyramid

ACM SIGGRAPH 2011 papers

Vector-valued image regularization with PDE's: a common framework for different applications

CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition

New Possibilities in Image Diffusion and Sharpening via High-Order Sobolev Gradient Flows

Journal of Mathematical Imaging and Vision

Image denoising with a constrained discrete total variation scale space

DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery

A hybrid topology optimization methodology combining simulated annealing and SIMP

Computers and Structures

Efficient numerical schemes for gradient vector flow

Pattern Recognition

A new fast multiphase image segmentation algorithm based on nonconvex regularizer

Pattern Recognition

A convex active contour region-based model for image segmentation

CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I

Heat Equations on Vector Bundles--Application to Color Image Regularization

Journal of Mathematical Imaging and Vision

Image Sequence Interpolation Using Optimal Control

Journal of Mathematical Imaging and Vision

Compressed sensing based 3d tomographic reconstruction for rotational angiography

MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I

Non-local adaptive structure tensors

Image and Vision Computing

Image Sharpening via Sobolev Gradient Flows

SIAM Journal on Imaging Sciences

Integro-Differential Equations Based on $(BV, L^1)$ Image Decomposition

SIAM Journal on Imaging Sciences

Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising

SIAM Journal on Scientific Computing

What is the range of surface reconstructions from a gradient field?

ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I

Stability and local feature enhancement of higher order nonlinear diffusion filtering

PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition

A roof edge detection model

IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II

Small object detection in cluttered image using a correlation based active contour model

Pattern Recognition Letters

A well-posed multiscale regularization scheme for digital image denoising

International Journal of Applied Mathematics and Computer Science

Letters: Denoising MMW image using the combination method of contourlet and KSC shrinkage

Neurocomputing

Edge detection models

ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition

The bessel scale-space

DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision

A riemannian framework for the processing of tensor-valued images

DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision

Multiscale active contours

Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision

A multigrid approach to image processing

Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision

A total variation motion adaptive deinterlacing scheme

Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision

Optical flow computation for compound eyes: variational analysis of omni-directional views

BVAI'05 Proceedings of the First international conference on Brain, Vision, and Artificial Intelligence

Structure-Texture decomposition by a TV-Gabor model

VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision

Total variation based iterative image reconstruction

CVBIA'05 Proceedings of the First international conference on Computer Vision for Biomedical Image Applications

Anisotropic diffusion for image denoising based on diffusion tensors

Journal of Visual Communication and Image Representation

Extended mumford-shah regularization in bayesian estimation for blind image deconvolution and segmentation

IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis

A modification of the mumford-shah functional for segmentation of digital images with fractal objects

MICAI'11 Proceedings of the 10th international conference on Artificial Intelligence: advances in Soft Computing - Volume Part II

Either fit to data entries or locally to prior: the minimizers of objectives with nonsmooth nonconvex data fidelity and regularization

SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision

Robust edge detection using mumford-shah model and binary level set method

SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision

Polyakov action on (ρ,g)-equivariant functions application to color image regularization

SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision

Numerical solution of diffusion models in biomedical imaging on multicore processors

Journal of Biomedical Imaging - Special issue on Parallel Computation in Medical Imaging Applications

Content-based image authentication by feature point clustering and matching

Security and Communication Networks

Histology image analysis for carcinoma detection and grading

Computer Methods and Programs in Biomedicine

A Nonlocal Version of the Osher-Solé-Vese Model

Journal of Mathematical Imaging and Vision

Convex Approximation Technique for Interacting Line Elements Deblurring: a New Approach

Journal of Mathematical Imaging and Vision

An interval type-2 fuzzy logic system for human silhouette extraction in dynamic environments

AIS'12 Proceedings of the Third international conference on Autonomous and Intelligent Systems

Error concealment by means of motion refinement and regularized bregman divergence

IDEAL'12 Proceedings of the 13th international conference on Intelligent Data Engineering and Automated Learning

Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1

Journal of Visual Communication and Image Representation

Image denoising using new pixon representation based on fuzzy filtering and partial differential equations

Digital Signal Processing

Parameterless discrete regularization on graphs for color image filtering

ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition

Nonconvex sparse regularizer based speckle noise removal

Pattern Recognition

Euler's approximations to image reconstruction

ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics

Application of backward stochastic differential equations to reconstruction of vector-valued images

ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics

X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting

Journal of Scientific Computing

An Efficient Algorithm for l0 Minimization in Wavelet Frame Based Image Restoration

Journal of Scientific Computing

A full second order variational model for multiscale texture analysis

Computational Optimization and Applications

A class of quasi-variational inequalities for adaptive image denoising and decomposition

Computational Optimization and Applications

Enhancing perceived quality of compressed images and video with anisotropic diffusion and fuzzy filtering

Image Communication

Variational and PCA based natural image segmentation

Pattern Recognition

Region-based image segmentation with local signed difference energy

Pattern Recognition Letters

Fractional order total variation regularization for image super-resolution

Signal Processing

Image processing by minimising Lp norms

Pattern Recognition and Image Analysis

Exact Histogram Specification for Digital Images Using a Variational Approach

Journal of Mathematical Imaging and Vision

Coupling Image Restoration and Segmentation: A Generalized Linear Model/Bregman Perspective

International Journal of Computer Vision

Adaptive diffusion flow active contours for image segmentation

Computer Vision and Image Understanding

Image denoising via 2D dictionary learning and adaptive hard thresholding

Pattern Recognition Letters

Image Restoration via Tight Frame Regularization and Local Constraints

Journal of Scientific Computing

A New Nonlocal H1 Model for Image Denoising

Journal of Mathematical Imaging and Vision

On a System of Adaptive Coupled PDEs for Image Restoration

Journal of Mathematical Imaging and Vision

An Iterative Scheme for Total Variation-Based Image Denoising

Journal of Scientific Computing

Fully Smoothed ℓ1-TV Models: Bounds for the Minimizers and Parameter Choice

Journal of Mathematical Imaging and Vision

A nonlinear level set model for image deblurring and denoising

The Visual Computer: International Journal of Computer Graphics

A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models

Journal of Mathematical Imaging and Vision

Computing the dynamics of biomembranes by combining conservative level set and adaptive finite element methods

Journal of Computational Physics

A Class of Generalized Laplacians on Vector Bundles Devoted to Multi-Channel Image Processing

Journal of Mathematical Imaging and Vision

A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization

Journal of Mathematical Imaging and Vision