Title | ||
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Two-dimensional images in frequency-time representation: direction images and resolution map |
Abstract | ||
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We discuss the concept of the direction image multiresolution, which is derived as a property of the 2-D discrete Fourier transform, when it splits by 1-D transforms. The N x N image, where N is a power of 2, is considered as a unique set of splitting- signals in paired representation, which is the unitary 2-D frequency and 1-D time representation. The number of splitting- signals is 3N-2, and they have different durations, carry the spectral information of the image in disjoint subsets of frequency points, and can be calculated from the projection data along one of 3N/2 angles. The paired representation leads to the image composition by a set of 3N-2 direction images, which defines the directed multiresolution and contains periodic components of the image. We also introduce the concept of the resolution map, as a result of uniting all direction images into log2 N series. In the resolution map, all different periodic components (or structures) of the image are packed into a N x N matrix, which can be used for image processing in enhancement, filtration, and compression. (C) 2010 SPIE and IS&T. [DOI: 10.1117/1.3483906] |
Year | DOI | Venue |
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2010 | 10.1117/1.3483906 | JOURNAL OF ELECTRONIC IMAGING |
Field | DocType | Volume |
Top-hat transform,Computer vision,Pattern recognition,Feature detection (computer vision),Computer science,Binary image,Image processing,Pyramid (image processing),Distance transform,Artificial intelligence,Image restoration,Image resolution | Journal | 19 |
Issue | ISSN | Citations |
3 | 1017-9909 | 6 |
PageRank | References | Authors |
0.61 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Artyom M. Grigoryan | 1 | 134 | 27.30 |
Nan Du | 2 | 8 | 2.46 |