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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...

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Related Experiment Video

Updated: Jul 7, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

A digit-serial architecture for gray-scale morphological filtering.

L Lucke1, C Chakrabarti

  • 1Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1995
PubMed
Summary
This summary is machine-generated.

This study introduces a novel digit-serial architecture for grayscale morphological operations using redundant number systems. The new designs offer comparable area to existing methods but with significantly reduced processing latency.

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Analyzing Dendritic Morphology in Columns and Layers
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Analyzing Dendritic Morphology in Columns and Layers

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Last Updated: Jul 7, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Analyzing Dendritic Morphology in Columns and Layers
08:41

Analyzing Dendritic Morphology in Columns and Layers

Published on: March 23, 2017

Area of Science:

  • Computer Engineering
  • Digital Image Processing
  • VLSI Design

Background:

  • Morphological operations are crucial in image processing for tasks like noise removal and feature extraction.
  • Efficient hardware architectures are needed to accelerate these operations, especially for real-time applications.
  • Redundant number systems offer potential advantages in arithmetic circuit design, such as reduced carry propagation delays.

Purpose of the Study:

  • To develop a digit-serial architecture for grayscale morphological operations.
  • To implement efficient redundant number adders and maximum units for morphological dilation.
  • To evaluate the performance of the proposed architecture in terms of area and latency.

Main Methods:

  • Design of a digit-serial architecture for morphological operations.
  • Implementation of novel redundant number adder and maximum unit circuits.
  • Comparison of the proposed designs with traditional 2's complement implementations.

Main Results:

  • The proposed digit-serial architecture effectively performs grayscale morphological operations.
  • New implementations for redundant number adders and maximum units were successfully developed.
  • The new designs achieve area efficiency comparable to 2's complement implementations.
  • Significantly reduced latencies were observed in the new redundant number-based designs.

Conclusions:

  • The presented digit-serial architecture offers an efficient hardware solution for grayscale morphological operations.
  • The novel redundant number arithmetic units provide a significant latency advantage over traditional methods.
  • This architecture is suitable for high-speed image processing applications requiring morphological computations.