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Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope
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An algorithm for encoding and decoding the 3-D Hilbert order.

X Liu1, G F Schrack

  • 1Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
Summary
This summary is machine-generated.

This study presents an encoding and decoding algorithm for the three-dimensional Hilbert order, a spatial ordering method beneficial for image processing applications.

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Area of Science:

  • Computer Science
  • Data Structures
  • Image Processing

Background:

  • Spatial ordering maps n-dimensional data to natural numbers.
  • The Hilbert order (H-order) is widely recognized for its effectiveness in image processing tasks.
  • Efficient algorithms are crucial for practical applications of H-order.

Purpose of the Study:

  • To introduce an encoding and decoding algorithm for the three-dimensional Hilbert order.
  • To provide a method for efficient spatial data management in 3-D image processing.

Main Methods:

  • Development of a novel encoding algorithm for 3-D H-order.
  • Development of a corresponding decoding algorithm for 3-D H-order.

Main Results:

  • The presented algorithm enables efficient conversion between 3-D voxel coordinates and their corresponding Hilbert order index.
  • Demonstrated feasibility of the encoding and decoding process for 3-D spatial data.

Conclusions:

  • The developed algorithm facilitates the practical application of 3-D Hilbert order in image processing.
  • This work contributes to efficient spatial data indexing and retrieval in three dimensions.