Search research articles

Related Concept Videos

Binomial Probability Distribution

Binomial Probability Distribution

A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...

Probability in Statistics

Probability in Statistics

Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...

Probability Histograms

Probability Histograms

A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.

Probability Distributions

Probability Distributions

The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson probability...

Tangent Planes to a Parametric Surface

Tangent Planes to a Parametric Surface

A tangent plane provides a linear approximation to a curved surface at a specific point, capturing the local behavior of the surface. It can be understood as the plane that just touches the surface at that point and is defined by the tangent directions of curves lying on the surface. These tangent directions arise naturally when the surface is described parametrically, allowing systematic construction of the plane.For a surface expressed in parametric form, the position of any point is...

Planes in Space

Planes in Space

A plane in three-dimensional space is fundamentally characterized by a point that lies on the plane and a normal vector that is perpendicular to its surface. This normal vector uniquely determines the orientation of the plane, making it an essential geometric descriptor. In architectural applications, such as the installation of a sloped glass panel on a building façade, this mathematical model provides a precise representation of the panel’s position and orientation in space.Let r₀ be the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Distinct impact of PI(4)P flux on PI(4,5)P<sub>2</sub> steady states and oscillations.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Evaluation of organic contamination in urban groundwater surrounding a municipal landfill, Zhoukou, China.

Environmental monitoring and assessment·2012

Same author

Image segmentation using fuzzy region competition and spatial/frequency information.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2010

Same author

Texture classification using refined histogram.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2010

Same author

Statistical wavelet subband characterization based on generalized gamma density and its application in texture retrieval.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2009

Same author

Fast fractal image encoding based on adaptive search.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008

Same journal

Through the Looking Glass: A Dual Perspective on Weakly-Supervised Few-Shot Segmentation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

Same journal

Mask-guided Asymmetric Contrastive and Semantic Alignment for Unsupervised Person Re-Identification.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

Same journal

Hyperbolic Cycle Alignment for Infrared-Visible Image Fusion.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

Same journal

Learning Gaze Synthesizer via 3D-eye Controlled Diffusion and Cross-domain Feature Alignment.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

Same journal

Underlying Semantic Diffusion for Effective and Efficient In-Context Learning.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

Same journal

DiffRES: Unleashing Text-to-Image Diffusion Models for Generative Referring Expression Segmentation without Information Leakage.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026

See all related articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: Jul 3, 2026

Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine

Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine

Published on: January 5, 2024

Statistical properties of bit-plane probability model and its application in supervised texture classification.

S K Choy¹, C S Tong

¹Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong. skchoy@math.hkbu.edu.hk

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society

|July 18, 2008

Summary

This summary is machine-generated.

This study explores the statistical properties of the bit-plane probability (BP) signature for wavelet subbands. Findings suggest using a weighted L(1)-norm for improved texture classification performance.

More Related Videos

Reconstruction of 3-Dimensional Histology Volume and its Application to Study Mouse Mammary Glands

Reconstruction of 3-Dimensional Histology Volume and its Application to Study Mouse Mammary Glands

Published on: July 26, 2014

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Published on: November 2, 2012

Related Experiment Videos

Last Updated: Jul 3, 2026

Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine

Image Recognition and Parameter Analysis of Concrete Vibration State Based on Support Vector Machine

Published on: January 5, 2024

Reconstruction of 3-Dimensional Histology Volume and its Application to Study Mouse Mammary Glands

Reconstruction of 3-Dimensional Histology Volume and its Application to Study Mouse Mammary Glands

Published on: July 26, 2014

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Creating Objects and Object Categories for Studying Perception and Perceptual Learning

Published on: November 2, 2012

Area of Science:

Image processing
Statistical modeling
Texture analysis

Background:

The product Bernoulli distribution (PBD) model is effective for wavelet subband histogram modeling and texture image retrieval.
The bit-plane probability (BP) signature is associated with the PBD model and its application in image processing requires further understanding.

Purpose of the Study:

To investigate the statistical properties of the PBD model and BP signature.
To determine the sufficiency of the BP signature for characterizing wavelet subbands.
To optimize the BP signature for real-time image processing applications.

Main Methods:

Statistical analysis of wavelet subband histograms modeled by PBD.
Investigation of the BP signature's statistical properties.
Application of the BP signature to supervised texture classification.

Main Results:

The statistical properties of the BP signature were clarified, confirming its sufficiency for wavelet subband characterization.
Experimental results indicate that a weighted L(1)-norm is superior to the standard L(1)-norm for the BP signature in texture classification.
The proposed method demonstrated superior performance compared to state-of-the-art Generalized Gaussian Density approaches.

Conclusions:

The BP signature is a valuable tool for characterizing wavelet subbands in image processing.
The weighted L(1)-norm enhances the effectiveness of the BP signature for texture classification.
This research provides a foundation for the efficient use of BP signatures in real-time applications.