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Related Concept Videos

Histogram01:05

Histogram

The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
A histogram graph consists of contiguous (adjoining) boxes. The heights of the bars correspond to frequency values. The graph will have the same shape with respective labels. The...
Probability Histograms01:17

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.
Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
Transformations of Functions III01:20

Transformations of Functions III

Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
Relative Frequency Histogram01:14

Relative Frequency Histogram

The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next sampling...

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Related Experiment Videos

Joint exact histogram specification and image enhancement through the wavelet transform.

Yi Wan1, Dongbin Shi

  • 1Institute for Signals and Information Processing, Lanzhou University, Lanzhou, 730000 China. wanyi@lzu.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|September 6, 2007
PubMed
Summary

This study introduces a novel wavelet-based method for histogram specification in digital images. The approach enhances image quality by considering edge information, improving upon existing techniques.

Related Experiment Videos

Area of Science:

  • Digital Image Processing
  • Computer Vision
  • Signal Processing

Background:

  • Histogram specification (equalization) is crucial for image enhancement and normalization.
  • Exact solutions exist for continuous images, but the problem is ill-posed for digital images.
  • Previous methods, while exact, often neglect critical edge information.

Purpose of the Study:

  • To present a wavelet-based method for exact histogram specification in digital images.
  • To improve image enhancement performance by incorporating edge information.
  • To overcome limitations of prior pixel ordering techniques.

Main Methods:

  • A novel wavelet-based approach for histogram specification.
  • A strict pixel ordering process incorporating local mean intensity and edge information.
  • Fine-tuning of wavelet coefficients for enhanced image quality.

Main Results:

  • Simultaneous achievement of exact histogram specification and effective image enhancement.
  • Improved performance compared to methods relying solely on local intensity.
  • Demonstrated advantages in fast pixel ordering and statistical modeling.

Conclusions:

  • The proposed wavelet-based method offers superior image enhancement and exact histogram specification.
  • Incorporating edge information is key to overcoming limitations of previous approaches.
  • The method provides a robust and efficient solution for digital image processing tasks.