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Related Concept Videos

Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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Related Experiment Video

Updated: Jul 7, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

The farthest point strategy for progressive image sampling.

Y Eldar1, M Lindenbaum, M Porat

  • 1IBM Israel Sci. and Technol. Center, Haifa.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
Summary

A novel farthest point strategy (FPS) offers uniform sparse image sampling. This deterministic method provides anti-aliasing properties superior to stochastic approaches for efficient image acquisition and display.

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Last Updated: Jul 7, 2026

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Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Geometry

Background:

  • Progressive image acquisition requires efficient sampling strategies.
  • Existing stochastic methods lack deterministic uniformity guarantees.
  • Sparse image sampling presents challenges in maintaining image quality.

Purpose of the Study:

  • Introduce a new deterministic method for progressive image acquisition.
  • Ensure uniform sampling point distribution for improved image approximation.
  • Develop an efficient algorithm for sparse image sampling and display.

Main Methods:

  • Farthest Point Strategy (FPS) for deterministic min-max uniformity.
  • Irregularly spaced sampling points with anti-aliasing properties.
  • Modification for image-dependent adaptive sampling.
  • O(N log N) algorithm development.

Main Results:

  • FPS achieves uniform sampling point distribution even at increased density.
  • Demonstrates anti-aliasing properties comparable to Poisson disk sampling.
  • A modified FPS enables adaptive sampling schemes.
  • An efficient O(N log N) algorithm is presented.

Conclusions:

  • FPS provides a deterministic and uniform approach to sparse image sampling.
  • The method offers advantages over stochastic techniques for progressive image acquisition.
  • FPS is suitable for efficient sparse image sampling, display, and adaptive applications.