The Identification problem in SPECT: uniqueness, non-uniqueness and stability
45 mins 34 secs,
189.85 MB,
Flash Video
484x272,
29.97 fps,
44100 Hz,
568.85 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Stefanov, P (Purdue University)
Thursday 04 August 2011, 11:15-12:00 |
|---|
| Created: | 2011-08-08 09:33 | ||||
|---|---|---|---|---|---|
| Collection: | Inverse Problems | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Stefanov, P | ||||
| Language: | eng (English) | ||||
| Distribution: |
World
(downloadable)
|
||||
| Credits: |
|
||||
| Explicit content: | No | ||||
| Aspect Ratio: | 16:9 | ||||
| Screencast: | No | ||||
| Bumper: | UCS Default | ||||
| Trailer: | UCS Default | ||||
| Abstract: | We study the problem of recovery both the attenuation a and the source f in the attenuated X-ray transform in the plane. We study the linearization as well. It turns out that there is a natural Hamiltonian flow that determines which singularities we can recover. If the perturbation δa is supported in a compact set that is non-trapping for that flow, then the problem is well posed. Otherwise, it may not be, and at least in the case of radial a, f, it is not. We present uniqueness and non-uniqueness results both for the linearized and the non-linear problem; as well as a H\"older stability estimate. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.84 Mbits/sec | 631.86 MB | View | Download | |
| WebM | 640x360 | 993.84 kbits/sec | 331.32 MB | View | Download | |
| Flash Video * | 484x272 | 568.85 kbits/sec | 189.85 MB | View | Download | |
| iPod Video | 480x270 | 506.34 kbits/sec | 168.99 MB | View | Download | |
| MP3 | 44100 Hz | 125.04 kbits/sec | 41.53 MB | Listen | Download | |
| Auto | (Allows browser to choose a format it supports) | |||||