Title :
A smooth non-rectangular time-frequency segmentation of L2 (R2)
Author :
Warner, Douglas W. ; Healy, Dennis M., Jr. ; Rockmore, Daniel N.
Author_Institution :
Dept. of Math., Dartmouth Coll., Hanover, NH, USA
Abstract :
We present a direct generalization of local trigonometric bases to decompositions of L2(R2) with non-rectangular support. We describe decompositions of L2(R2) into n subspaces supported on approximate equiangular sectors and work out the case for n=3 in detail. For prototypical decompositions, windowed circular harmonics serve as basis functions. The technique applies equally well to decompositions of higher dimensional space
Keywords :
harmonic analysis; image segmentation; smoothing methods; time-frequency analysis; approximate equiangular sectors; basis functions; decompositions; higher dimensional space; image segmentation; local trigonometric bases; nonrectangular support; smooth nonrectangular time-frequency segmentation; subspaces; windowed circular harmonics; Educational institutions; Geometry; Magnetic resonance imaging; Mathematics; Multidimensional systems; Prototypes; Reflection; Tensile stress; Time frequency analysis; Video coding;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.648008
