An algorithm for encoding and decoding the 3-D Hilbert order

Authors:
Xian Liu;G. F. Schrack
Affiliations:
Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC;-
Venue:
IEEE Transactions on Image Processing
Year:
1997

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Abstract

Spatial ordering is a transformation relating an n-dimensional voxel to a set of natural numbers. Interest in the Hilbert order (H-order) has been high because of its desirable performance when applied to image processing. In this correspondence, an encoding/decoding algorithm for the three-dimensional (3-D) Hilbert order is presented