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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...
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...
Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
Topographic Surveying and Contours01:29

Topographic Surveying and Contours

Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...
Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...

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Related Experiment Video

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A New Workflow for Sampling and Digitizing Increment Cores
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Uniform resampling of digitized contours.

B Shahraray1, D J Anderson

  • 1Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|August 27, 2011
PubMed
Summary

This study introduces a resampling algorithm to fix uneven spacing in digital curves from quantized contours. The new method significantly improves length measurement accuracy, enhancing shape analysis systems.

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Area of Science:

  • Computer Vision
  • Digital Image Processing
  • Computational Geometry

Background:

  • Digital curves from quantized continuous contours often have nonuniform intersample distances.
  • This nonuniformity introduces errors in shape analysis, particularly in length measurement.

Purpose of the Study:

  • To present a novel resampling algorithm for digital curves with nonuniform intersample distances.
  • To evaluate the performance of the proposed algorithm in improving accuracy for shape analysis.

Main Methods:

  • A resampling algorithm utilizing variable-factor interpolation and decimation was developed.
  • Performance was assessed analytically and through computer simulations using grid-intersect quantization.

Main Results:

  • The resampling algorithm reduced average length measurement error by 50% and maximum error by 73% compared to original digital curves.
  • The algorithm demonstrated superior performance in maintaining curve integrity after quantization.

Conclusions:

  • The proposed resampling algorithm effectively addresses nonuniform intersample distances in digital curves.
  • This method serves as a valuable preprocessing step for enhancing accuracy and consistency in shape analysis systems, including curvature and Fourier shape descriptor calculations.