| Presentation | 2010-03-02 Sampling Theory for Signals with Finite Rate of Innovation and Application to Image Feature Extraction Akira HIRABAYASHI, Pier-Luigi DRAGOTTI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We present a survey of sampling theory for signals with a finite rate of innovations, which is one of the current hot topics in sparse sampling as well as compressed sensing. We first show that rate of innovation is a notion which corresponds to frequency, and that signal with a finite rate of innovations is a natural extension of band-limited signal. To perfectly reconstruct such signals, sampling functions have to satisfy a reproducing characteristic of polynomials or exponential functions. This characteristic enables perfect reconstruction of a periodic stream of Diracs by using the so-called annihilating filter method. Based on this result, reconstruction methods for nonuniform splines and piecewise polynomial, or that in the presence of noise are derived. We also show, as an application to image processing, a line-edge extraction method based on these sampling techniques. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Sparse sampling / signals with finite rate of innovation / spline functions / annihilating filter / image feature extraction |
| Paper # | CAS2009-109,SIP2009-154,CS2009-104 |
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| Conference Information | |
| Committee | CS |
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| Conference Date | 2010/2/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Communication Systems (CS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Sampling Theory for Signals with Finite Rate of Innovation and Application to Image Feature Extraction |
| Sub Title (in English) | |
| Keyword(1) | Sparse sampling |
| Keyword(2) | signals with finite rate of innovation |
| Keyword(3) | spline functions |
| Keyword(4) | annihilating filter |
| Keyword(5) | image feature extraction |
| 1st Author's Name | Akira HIRABAYASHI |
| 1st Author's Affiliation | Graduate School of Medicine, Yamaguchi University() |
| 2nd Author's Name | Pier-Luigi DRAGOTTI |
| 2nd Author's Affiliation | Faculty of Engineering, Imperial College London |
| Date | 2010-03-02 |
| Paper # | CAS2009-109,SIP2009-154,CS2009-104 |
| Volume (vol) | vol.109 |
| Number (no) | 436 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |