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Related Concept Videos

Bode Plots01:26

Bode Plots

Bode plots are graphical tools that use logarithmic scales for frequency on the x-axis and gain in decibels on the y-axis. This logarithmic method allows a wide range of frequencies to be compactly displayed, enabling the analysis of component effects on circuit behavior across a broad frequency spectrum.
A network function represents the ratio of a system's output to its input, with the magnitude and phase angle derived from the complex network function. The decibel logarithmic gain is...
Bandpass Sampling01:17

Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2. The spectrum...
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Transfer function and Bode Plots-II

In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
Transfer function and Bode Plots-I01:19

Transfer function and Bode Plots-I

A transfer function presented in its standard form integrates elements' constant gain, the zeros, and poles at the origin, simple zeros and poles, and quadratic poles and zeros. The transfer function can be written as H(ω):
Bode Plots Construction01:24

Bode Plots Construction

The Bode plot is an essential tool in control system analysis, mapping the frequency response of a system through a magnitude plot and a phase plot, both against a logarithmic frequency axis. To construct a Bode plot, consider the transfer function H(ω):

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Related Experiment Video

Updated: May 30, 2026

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
07:39

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Published on: July 21, 2018

On the bandwidth of the plenoptic function.

Minh N Do1, Davy Marchand-Maillet, Martin Vetterli

  • 1Department of Electrical and Computer Engineering, Coordinated Science Laboratory, Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA. minhdo@illinois.edu

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|August 11, 2011
PubMed
Summary
This summary is machine-generated.

The plenoptic function (POF) is generally not band-limited for textured surfaces, requiring analysis of surface slope for bandwidth estimation. This research provides rules for quantifying essential POF bandwidth in computer vision and graphics applications.

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Area of Science:

  • Computer Vision
  • Computer Graphics
  • Signal Processing

Background:

  • The plenoptic function (POF) is crucial for image/video processing, vision, and graphics, particularly in image-based rendering.
  • Characterizing the bandwidth of the POF is essential for efficient sampling and interpolation in these applications.

Purpose of the Study:

  • To analyze the bandwidth properties of the plenoptic function for scenes with textured surfaces on smooth objects.
  • To derive methods for estimating the essential bandwidth of the POF in such scenarios.

Main Methods:

  • Modeling scenes with band-limited signals (textures) on smooth surfaces.
  • Applying multidimensional signal processing formalisms.
  • Analyzing the impact of scene geometry (depth, surface slope) on POF bandwidth.

Main Results:

  • The plenoptic function is generally not band-limited for non-flat surfaces.
  • Essential POF bandwidth depends on signal frequency, depth range, and maximum surface slope.
  • Quantified necessary sampling rates for accurate POF representation.

Conclusions:

  • Surface geometry, specifically slope, significantly influences plenoptic function bandwidth.
  • Developed a framework to understand and quantify POF bandwidth, aiding in efficient data acquisition and processing for computer vision and graphics.