2012
DOI: 10.1049/iet-ipr.2010.0242
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Approximately even partition algorithm for coding the Hilbert curve of arbitrary-sized image

Abstract: The Hilbert curve is one of space filling curves and it requires that the region is of size 2 k × 2 k , where k [ N. This study relaxes this constraint and generates a pseudo-Hilbert curve of arbitrary dimension. The intuitive method such as Chung et al.'s algorithm is to use Hilbert curves in the decomposed areas directly and then have them connected. However, they must generate a sequence of the scanned quadrants additionally before encoding and decoding the Hilbert order of one pixel. In this study, by usin… Show more

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Cited by 7 publications
(5 citation statements)
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“…However, for a sonar image, portions of the image that give high intensity returns are likely to provide most accurate displacement estimates. Therefore, in our algorithm the reference image intensity is used as a probability density function (PDF) for generating the sample points ξ ∈ X sample [29] [30]. An example distribution of sample points X sample can be seen in plot 3 of Fig 5, where the PDF is defined from the reference frame (plot 1).…”
Section: ) Selection Of Measurement (Sample) Pointsmentioning
confidence: 99%
See 1 more Smart Citation
“…However, for a sonar image, portions of the image that give high intensity returns are likely to provide most accurate displacement estimates. Therefore, in our algorithm the reference image intensity is used as a probability density function (PDF) for generating the sample points ξ ∈ X sample [29] [30]. An example distribution of sample points X sample can be seen in plot 3 of Fig 5, where the PDF is defined from the reference frame (plot 1).…”
Section: ) Selection Of Measurement (Sample) Pointsmentioning
confidence: 99%
“…The bins are ordered to provide the slowest evolution between consecutive bins. The algorithm scans the DMd(ξ) along a pseudo-Hilbert space filling curve (SFC) pixel-by-pixel [30].…”
Section: B Fine Displacement Estimationmentioning
confidence: 99%
“…We adopt the primitive Hilbert areas and the primitive Hilbert curves designed by Wu et al in [ 36 ] to build the CH chain. In addition to the original primitive Hilbert curves I to IV, extra eight primitive pseudo Hilbert curves are designed and shown in Figure 7 .…”
Section: The Collaborative Data Collection Schemementioning
confidence: 99%
“…The pseudo code of the cluster heads-linking algorithm based on the pseudo Hilbert curve is shown in Algorithm 1. Please refer to [ 36 ] for the pseudo Hilbert curve generation details.…”
Section: The Collaborative Data Collection Schemementioning
confidence: 99%
“…A restriction in using the closed space‐filling curve is the requirement that an area must to be a square in shape . Nonetheless, such a restriction is addressed by the Pseudo‐Hilbert curve, which can be used for an arbitrarily‐sized rectangle …”
Section: Detailed Bamt Approachmentioning
confidence: 99%