Title :
On the metric properties of discrete space-filling curves
Author :
Gotsman, C. ; Lindenbaum, M.
Author_Institution :
Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
5/1/1996 12:00:00 AM
Abstract :
A space-filling curve is a linear traversal of a discrete finite multidimensional space. In order for this traversal to be useful in many applications, the curve should preserve “locality”. We quantify “locality” and bound the locality of multidimensional space-filling curves. Classic Hilbert space-filling curves come close to achieving optimal locality
Keywords :
Hilbert spaces; edge detection; classic Hilbert space-filling curves; discrete finite multidimensional space; discrete space-filling curves; linear traversal; locality preservation; metric properties; optimal locality; Convergence; Entropy; Image converters; Image processing; Image reconstruction; Iterative algorithms; Multidimensional systems; Positron emission tomography; Radioactive decay; X-ray imaging;
Journal_Title :
Image Processing, IEEE Transactions on
