A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
Discrete & Computational Geometry - Special issue on ACM symposium on computational geometry, North Conway
Handbook of pattern recognition & computer vision
A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed
Mathematics of Operations Research
Parametric Analysis of Polyhedral Iteration Spaces
Journal of VLSI Signal Processing Systems - Special issue on application specific systems, architectures and processors
Digital Picture Processing
Multiresolution Gray-Scale and Rotation Invariant Texture Classification with Local Binary Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Texture Classification by Subsets of Local Binary Patterns
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
Face Detection Using Improved LBP under Bayesian Framework
ICIG '04 Proceedings of the Third International Conference on Image and Graphics
A Texture-Based Method for Modeling the Background and Detecting Moving Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Face Description with Local Binary Patterns: Application to Face Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Handbook of Image and Video Processing (Communications, Networking and Multimedia)
Handbook of Image and Video Processing (Communications, Networking and Multimedia)
Fabric defect detection using modified local binary patterns
EURASIP Journal on Advances in Signal Processing
Local binary patterns for a hybrid fingerprint matcher
Pattern Recognition
Facial expression recognition based on Local Binary Patterns: A comprehensive study
Image and Vision Computing
A Statistical Approach to Material Classification Using Image Patch Exemplars
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dominant local binary patterns for texture classification
IEEE Transactions on Image Processing
Local binary patterns variants as texture descriptors for medical image analysis
Artificial Intelligence in Medicine
Machine Vision and Applications
The uniform distribution as a universal prior
IEEE Transactions on Information Theory
Automatic classification of granite tiles through colour and texture features
Expert Systems with Applications: An International Journal
Texture Description Through Histograms of Equivalent Patterns
Journal of Mathematical Imaging and Vision
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It is well-known that local binary pattern (LBP) histograms of real textures exhibit a markedly uneven distribution, which is dominated by the so-called uniform patterns. The widely accepted interpretation of this phenomenon is that uniform patterns correspond to texture microfeatures, such as edges, corners, and spots. In this paper we present a theoretical study about the relative occurrence of LBPs based on the consideration that the LBP operator partitions the set of grayscale patterns into an ensemble of disjoint multidimensional polytopes. We derive exact prior probabilities of LBPs by calculating the volume of such polytopes. Our study puts in evidence that both the uneven distribution of the LBP histogram and the high occurrence of uniform patterns are direct consequences of the mathematical structure of the method rather than an intrinsic property of real textures.