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Related Concept Videos

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...
Encoding01:19

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Graphical Representation of Inequalities01:28

Graphical Representation of Inequalities

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Related Experiment Video

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Lensless Fluorescent Microscopy on a Chip
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Published on: August 17, 2011

On a method of binary-picture representation and its application to data compression.

E Kawaguchi1, T Endo

  • 1Department of Computer Science and Communication Engineering, Kyushu University, Fukuoka, Japan.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|April 14, 2012
PubMed
Summary
This summary is machine-generated.

A novel data compression method uses context-free grammar to represent binary pictorial patterns. This DF-expression technique offers efficient data reduction for documents and charts, outperforming existing methods.

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Area of Science:

  • Computer Science
  • Information Theory
  • Digital Image Processing

Background:

  • Binary pictorial patterns, such as texts and charts, require efficient data representation.
  • Existing data compression techniques may not be optimal for all types of binary images.

Purpose of the Study:

  • To develop a new method for representing and compressing binary pictorial patterns using context-free grammars.
  • To evaluate the effectiveness of the proposed DF-expression technique for data compression.

Main Methods:

  • Introduced fundamental concepts of binary-valued pictures, including complexity and primitives.
  • Defined a simple context-free grammar (G) where binary pictures are terminal sequences.
  • Developed the DF-expression as a reduced terminal sequence of G for detailed, lossless representation.

Main Results:

  • Demonstrated that any binary picture with complexity < 0.47 can be compressed using DF-expression.
  • Developed a simple, recursively executable coding algorithm for converting data into DF-expressions.
  • Experimental results showed high data compression ratios and feasible coding/decoding algorithms compared to facsimile techniques.

Conclusions:

  • The DF-expression is a highly effective data compression technique for binary pictorial patterns.
  • Its efficiency stems from high data compression ratios and practical, feasible algorithms for coding and decoding.