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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Marzetta, T.L. Shepp, L.A. |
| Copyright Year | 1997 |
| Description | Author affiliation: Lucent Technol., AT&T Bell Labs., Murray Hill, NJ, USA (Marzetta, T.L.) |
| Abstract | A convex elliptical region of the plane supports a positive-valued function of two variables whose Radon transform depends only on the slope of the integrating line: any two parallel lines that intersect the ellipse generate equal line integrals of the function. It is somewhat surprising that such a function exists. It is even more surprising, as we show in this paper, that the elliptical region is the only convex compact planar set that supports such a function. We discovered this result while attempting to extend an analytical solution technique for a 2-D integral equation that figures in a certain problem of motion detection in a noisy image sequence. |
| Starting Page | 703 |
| Ending Page | 706 |
| File Size | 269619 |
| Page Count | 4 |
| File Format | |
| ISBN | 0818681837 |
| DOI | 10.1109/ICIP.1997.648014 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1997-10-26 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Integral equations Image sequences Nonlinear filters Motion detection Noise figure Image analysis Image motion analysis Image sequence analysis Object detection Signal to noise ratio |
| Content Type | Text |
| Resource Type | Article |
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