A Variational Framework for Retinex

  title={A Variational Framework for Retinex},
  author={Ron Kimmel and Michael Elad and Doron Shaked and Renato Keshet and Irwin Sobel},
  journal={International Journal of Computer Vision},
Retinex theory addresses the problem of separating the illumination from the reflectance in a given image and thereby compensating for non-uniform lighting. This is in general an ill-posed problem. In this paper we propose a variational model for the Retinex problem that unifies previous methods. Similar to previous algorithms, it assumes spatial smoothness of the illumination field. In addition, knowledge of the limited dynamic range of the reflectance is used as a constraint in the recovery… 

Variational famework for Retinex

A variational model for the Retinex problem that unifies previous methods and shows that the illumination estimation problem can be formulated as a Quadratic Programming optimization problem.

Reduced complexity Retinex algorithm via the variational approach

Non-Local Retinex - A Unifying Framework and Beyond

This paper reinterpret the gradient thresholding model as variational models with sparsity constraints as well as defining the unifying Retinex model in two similar, but more general, steps.

A Multi-Exposure Variational Method for Retinex

Retinex theory explains how the human visual system perceives colors. The goal of retinex is to decompose the reflectance and the illumination from the given images and thereby compensating for

A novel Retinex algorithm based on alternating direction optimization

An efficient and effective algorithm based on alternating direction optimization to solve the illumination image and reflectance image without converting images to the logarithmic domain and has less computational cost and can be applied to real-time processing.

A unifying retinex model based on non-local differential operators

Within a single framework new retinex instances particularly suited for texture-preserving shadow removal, cartoon-texture decomposition, color and hyperspectral image enhancement are defined, and entirely novel retineX formulations are derived by using more interesting non-local versions for the sparsity and fidelity prior.

A parallel operator splitting algorithm for solving constrained total-variation retinex

A parallel operator splitting algorithm tailored for the constrained total-variation retinex model, in which all the resulting subproblems admit closed form solutions or can be tractably solved by some subroutines without any internally nested iterations is developed.

A modulus iteration method for retinex problem

A variational minimization model with physical constraints imposed on reflectance values is proposed and it is shown that the proposed model is equivalent to a linear complementarity problem, and a modulus iteration method is applied to solve it.

Retinex by Two Bilateral Filters

This result stands as a theoretic justification and refinement for the recently proposed heuristic use of the bilateral filter for retinex by Durand and Dorsey and shows that similar speedup methods apply to the algorithm.



Image Analysis Using Multigrid Relaxation Methods

  • Demetri Terzopoulos
  • Computer Science
    IEEE Transactions on Pattern Analysis and Machine Intelligence
  • 1986
This paper develops multiresolution iterative algorithms for computing lightness, shape-from-shading, and optical flow and examines the efficiency of these algorithms using synthetic image inputs, and describes the multigrid methodology that is broadly applicable in early vision.

Recovering Shading from Color Images

A method of eliminating the reflectance effects in order to calculate a shading field that depends only on the relative positions of the illuminant and surface and the resulting Poisson equation is solved directly by the Fourier transform method.

A multiscale retinex for bridging the gap between color images and the human observation of scenes

This paper extends a previously designed single-scale center/surround retinex to a multiscale version that achieves simultaneous dynamic range compression/color consistency/lightness rendition and defines a method of color restoration that corrects for this deficiency at the cost of a modest dilution in color consistency.

Boundary conditions for lightness computation in Mondrian World

  • A. Blake
  • Computer Science, Mathematics
    Comput. Vis. Graph. Image Process.
  • 1985

Lightness and retinex theory.

The mathematics of a lightness scheme that generates lightness numbers, the biologic correlate of reflectance, independent of the flux from objects is described.

Properties and performance of a center/surround retinex

A practical implementation of the retinex is defined without particular concern for its validity as a model for human lightness and color perception, and the trade-off between rendition and dynamic range compression that is governed by the surround space constant is described.

Investigations into Multi-Scale Retinex

A new algorithm with fewer arbitrary parameters that is more flexible, maintains colour fidelity, and still preserves the contrast-enhancement benefits of the original MSR method is built.

An alternative technique for the computation of the designator in the retinex theory of color vision.

  • E. Land
  • Computer Science
    Proceedings of the National Academy of Sciences of the United States of America
  • 1986
The present paper describes a relatively simple alternative technique for the computation of the designator in retinex theory and reports the general operational effectiveness of the new technique, including the competence, not possessed by earlier algorithms, for generating Mach bands.

Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

  • S. GemanD. Geman
  • Physics
    IEEE Transactions on Pattern Analysis and Machine Intelligence
  • 1984
The analogy between images and statistical mechanics systems is made and the analogous operation under the posterior distribution yields the maximum a posteriori (MAP) estimate of the image given the degraded observations, creating a highly parallel ``relaxation'' algorithm for MAP estimation.

Recent advances in retinex theory and some implications for cortical computations: color vision and the natural image.

  • E. Land
  • Education
    Proceedings of the National Academy of Sciences of the United States of America
  • 1983
A series of experiments demonstrated that in images neither the wavelength of the stimulus nor the energy at each wavelength determines the color, and this departure from what the authors expect on the basis of colorimetry is complete.