A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pyramid-based texture analysis/synthesis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Prior Learning and Gibbs Reaction-Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Filters, Random Fields and Maximum Entropy (FRAME): Towards a Unified Theory for Texture Modeling
International Journal of Computer Vision
CONDENSATION—Conditional Density Propagation forVisual Tracking
International Journal of Computer Vision
Two- and three-dimensional patterns of the face
Two- and three-dimensional patterns of the face
Stochastic models for generic images
Quarterly of Applied Mathematics
Probability Models for Clutter in Natural Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object Localization by Bayesian Correlation
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Textons, Contours and Regions: Cue Integration in Image Segmentation
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
IEEE Transactions on Information Theory
Image compression via joint statistical characterization in the wavelet domain
IEEE Transactions on Image Processing
Probability Models for Clutter in Natural Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Segmentation by Data-Driven Markov Chain Monte Carlo
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
Universal Analytical Forms for Modeling Image Probabilities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Depth Estimation from Image Structure
IEEE Transactions on Pattern Analysis and Machine Intelligence
Modeling Visual Patterns by Integrating Descriptive and Generative Methods
International Journal of Computer Vision
Analytical Image Models and Their Applications
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Learning the Statistics of People in Images and Video
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Detection of Image Structures Using the Fisher Information and the Rao Metric
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative Kernel Principal Component Analysis for Image Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Foundations of Vision Modeling III. Noncommutative Monoids of Occlusive Preimages
Journal of Mathematical Imaging and Vision
Homeostatic image perception: an artificial system
Computer Vision and Image Understanding
On the Spatial Statistics of Optical Flow
International Journal of Computer Vision
Infinitely Divisible Cascades to Model the Statistics of Natural Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Learning Probabilistic Models for Contour Completion in Natural Images
International Journal of Computer Vision
Adaptive image retrieval based on the spatial organization of colors
Computer Vision and Image Understanding
Surface Visibility Probabilities in 3D Cluttered Scenes
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Salience in orientation-filter response measured as suspicious coincidence in natural images
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
Homeostatic image perception: An artificial system
Computer Vision and Image Understanding
Non-local characterization of scenery images: statistics, 3D reasoning, and a generative model
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Video and image bayesian demosaicing with a two color image prior
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
A scale invariant covariance structure on jet space
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
The stochastic structure of images
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
On α kernels, Lévy processes, and natural image statistics
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Learning a generative model of images by factoring appearance and shape
Neural Computation
| Hi-index | 0.00 |
We develop a scale-invariant version of Matheron's “dead leaves model” for the statistics of natural images. The model takes occlusions into account and resembles the image formation process by randomly adding independent elementary shapes, such as disks, in layers. We compare the empirical statistics of two large databases of natural images with the statistics of the occlusion model, and find an excellent qualitative, and good quantitative agreement. At this point, this is the only image model which comes close to duplicating the simplest, elementary statistics of natural images—such as, the scale invariance property of marginal distributions of filter responses, the full co-occurrence statistics of two pixels, and the joint statistics of pairs of Haar wavelet responses.