A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean shift
Danny Barash,Dorin Comaniciu +1 more
TLDR
It is shown that kernel density estimation applied in the joint spatial–range domain yields a powerful processing paradigm—the mean shift procedure, related to bilateral filtering but having additional flexibility, which establishes an attractive relationship between the theory of statistics and that of diffusion and energy minimization.About:
This article is published in Image and Vision Computing.The article was published on 2004-01-01 and is currently open access. It has received 246 citations till now. The article focuses on the topics: Smoothing & Bilateral filter.read more
Citations
More filters
Journal ArticleDOI
Nonlocal Operators with Applications to Image Processing
Guy Gilboa,Stanley Osher +1 more
TL;DR: This topic can be viewed as an extension of spectral graph theory and the diffusion geometry framework to functional analysis and PDE-like evolutions to define new types of flows and functionals for image processing and elsewhere.
Journal ArticleDOI
A Tour of Modern Image Filtering: New Insights and Methods, Both Practical and Theoretical
TL;DR: A practical and accessible framework is presented to understand some of the basic underpinnings of algorithms in wide use such as block-matching and three-dimensional filtering (BM3D), and methods for their iterative improvement (or nonexistence thereof) are discussed.
Journal ArticleDOI
Real-time video abstraction
TL;DR: An automatic, real-time video and image abstraction framework that abstracts imagery by modifying the contrast of visually important features, namely luminance and color opponency is presented and finds that participants are faster at naming abstracted faces of known persons compared to photographs.
Journal ArticleDOI
Optimal Spatial Adaptation for Patch-Based Image Denoising
TL;DR: A novel adaptive and patch-based approach is proposed for image denoising and representation based on a pointwise selection of small image patches of fixed size in the variable neighborhood of each pixel to associate with each pixel the weighted sum of data points within an adaptive neighborhood.
Journal ArticleDOI
Bilateral filtering : theory and applications
TL;DR: From Gaussian Convolution to Bilateral Filter to Applications and Relationship between BF and Other Methods or Framework and Extensions of Bilateral Filtering.
References
More filters
Journal ArticleDOI
Nonlinear total variation based noise removal algorithms
TL;DR: In this article, a constrained optimization type of numerical algorithm for removing noise from images is presented, where the total variation of the image is minimized subject to constraints involving the statistics of the noise.
Journal ArticleDOI
Scale-space and edge detection using anisotropic diffusion
Pietro Perona,Jitendra Malik +1 more
TL;DR: A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.
Journal ArticleDOI
Mean shift: a robust approach toward feature space analysis
Dorin Comaniciu,Peter Meer +1 more
TL;DR: It is proved the convergence of a recursive mean shift procedure to the nearest stationary point of the underlying density function and, thus, its utility in detecting the modes of the density.
Proceedings ArticleDOI
Bilateral filtering for gray and color images
Carlo Tomasi,Roberto Manduchi +1 more
TL;DR: In contrast with filters that operate on the three bands of a color image separately, a bilateral filter can enforce the perceptual metric underlying the CIE-Lab color space, and smooth colors and preserve edges in a way that is tuned to human perception.
Book
Anisotropic diffusion in image processing
TL;DR: This work states that all scale-spaces fulllling a few fairly natural axioms are governed by parabolic PDEs with the original image as initial condition, which means that, if one image is brighter than another, then this order is preserved during the entire scale-space evolution.