4.9.4 Hilbert Scan, Image Scan Order, for Compression and Representation

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Hilbert Scan.
See also Uber die Stetige Abbildung einer Linie auf ein Flachenstck.

Liu, X., Schrack, G.F.,
An Algorithm for Encoding and Decoding the 3-D Hilbert Order,
IP(6), No. 9, September 1997, pp. 1333-1337.
IEEE DOI 9709
BibRef

Kamata, S.I., Eason, R.O., Bandou, Y.,
A New Algorithm for N-Dimensional Hilbert Scanning,
IP(8), No. 7, July 1999, pp. 964-973.
IEEE DOI BibRef 9907

Kamata, S.I., Niimi, M., Kawaguchi, E.,
A Gray Image Compression Using a Hilbert Scan,
ICPR96(III: 905-909).
IEEE DOI 9608
BibRef
Earlier:
Interactive analysis of multi-spectral images using a Hilbert curve,
ICPR94(A:93-97).
IEEE DOI 9410
(Kyushu Institute of Technology, J) BibRef

Kawaguchi, E., Kamata, S.I.,
Data reductive image coding by bit-plane modifications,
ICPR90(II: 208-214 vol 2).
IEEE DOI 9008
BibRef

Kawaguchi, E., Hirano, H., Kamata, S.I.,
A study on the speed of top-down and bottom-up DF-encoding/decoding algorithms for binary pictures,
ICPR92(III:577-581).
IEEE DOI 9208
BibRef

Zhang, J.[Jian], Kamata, S.I.[Sei-Ichiro],
A generalized 3-D Hilbert scan using look-up tables,
JVCIR(23), No. 3, April 2012, pp. 418-425.
Elsevier DOI 1203
Hilbert curve, Space-filling, Look-up table, Euclidean distance; Self-similarity, Point neighborhoods, One-to-one mapping, Scanning length BibRef

Zhang, J.[Jian], Kamata, S.I.[Sei-Ichiro], Ueshige, Y.[Yoshifumi],
A Pseudo-hilbert Scan Algorithm for Arbitrarily-Sized Rectangle Region,
IWICPAS06(290-299).
Springer DOI 0608
BibRef

Bandoh, Y.[Yukihiro], Kamata, S.I.[Sei-Ichiro],
An Address Generator for an N-dimensional Pseudo-Hilbert Scan in a Hyper-rectangular Parallelepiped Region,
ICIP00(Vol I: 737-740).
IEEE DOI 0008
BibRef
Earlier:
An address generator for a 3-dimensional pseudo-Hilbert scan in a cuboid region,
ICIP99(I:496-500).
IEEE DOI BibRef

Kamata, S.I.[Sei-Ichiro],
An address generator of an N-dimensional Hilbert scan,
ICIP96(II: 1031-1034).
IEEE DOI 9610
BibRef

Kamata, S.I.[Sei-Ichiro], Bandoh, Y.[Yukihiro], Nishi, N.[Nobuyoshi],
Color Image Compression Using a Hilbert Scan,
ICPR98(Vol II: 1575-1578).
IEEE DOI 9808
BibRef

Kamata, S.I., and Bandoh, Y.,
An Address Generator of a Pseudo-Hilbert Scan in a Rectangle Region,
ICIP97(I: 707-710).
IEEE DOI BibRef 9700

Wang, Y.K., Kuroda, H.,
Hilbert Scanning Search Algorithm for Motion Estimation,
CirSysVideo(9), No. 5, August 1999, pp. 683.
IEEE Top Reference. BibRef 9908

Biswas, S.[Sambhunath],
One-dimensional B-B polynomial and Hilbert scan for graylevel image coding,
PR(37), No. 4, April 2004, pp. 789-800.
Elsevier DOI 0403
BibRef
Earlier:
Hilbert Scan and Image Compression,
ICPR00(Vol III: 207-210).
IEEE DOI 0009
BibRef

Koga, T.[Takanori], Suetake, N.[Noriaki],
Image coarsening by using space-filling curve for decomposition-based image enhancement,
JVCIR(24), No. 7, 2013, pp. 806-818.
Elsevier DOI 1309
BibRef
Earlier:
Structural-context-preserving image abstraction by using space-filling curve based on minimum spanning tree,
ICIP11(1465-1468).
IEEE DOI 1201
Edge-preserving smoothing BibRef

Chen, H.H.[Hsin-Hui], Ding, J.J.[Jian-Jiun],
A new adaptive coefficient scanning based on local and global prediction,
SIViP(10), No. 1, January 2016, pp. 189-197.
WWW Link. 1601
BibRef

Chen, H.H.[Hsin-Hui], Huang, Y.W.[Ying-Wun], Ding, J.J.[Jian-Jiun],
Local prediction based adaptive scanning for JPEG and H.264/AVC intra coding,
ICIP13(1636-1640)
IEEE DOI 1402
Adaptive scanning BibRef

Ding, J.J.[Jian-Jiun], Wei, W.Y.[Wei-Yi], Chen, H.H.[Hsin-Hui],
Context-based adaptive zigzag scanning for image coding,
VCIP11(1-4).
IEEE DOI 1201
BibRef


Lorenzo-Ginori, J.V.[Juan Valentín],
An Approach to the 2D Hilbert Transform for Image Processing Applications,
ICIAR07(157-165).
Springer DOI 0708
BibRef

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
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