Coded aperture ptychography: uniqueness and reconstruction. (10th January 2018)
- Record Type:
- Journal Article
- Title:
- Coded aperture ptychography: uniqueness and reconstruction. (10th January 2018)
- Main Title:
- Coded aperture ptychography: uniqueness and reconstruction
- Authors:
- Chen, Pengwen
Fannjiang, Albert - Abstract:
- Abstract: Uniqueness of solution is proved for any ptychographic scheme with a random mask under a minimum overlap condition and local geometric convergence analysis is given for the alternating projection (AP) and Douglas–Rachford (DR) algorithms. DR is shown to possess a unique fixed point in the object domain and for AP a simple criterion for distinguishing the true solution among possibly many fixed points is given. A minimalist scheme, where the adjacent masks overlap 50% of the area and each pixel of the object is illuminated by exactly four illuminations, is conveniently parametrized by the number q of shifted masks in each direction. The lower bound 1 − C / q 2 is proved for the geometric convergence rate of the minimalist scheme, predicting a poor performance with large q which is confirmed by numerical experiments. The twin-image ambiguity is shown to arise for certain Fresnel masks and degrade the performance of reconstruction. Extensive numerical experiments are performed to explore the general features of a well-performing mask, the optimal value of q and the robustness with respect to measurement noise.
- Is Part Of:
- Inverse problems. Volume 34:Number 2(2018:Feb.)
- Journal:
- Inverse problems
- Issue:
- Volume 34:Number 2(2018:Feb.)
- Issue Display:
- Volume 34, Issue 2 (2018)
- Year:
- 2018
- Volume:
- 34
- Issue:
- 2
- Issue Sort Value:
- 2018-0034-0002-0000
- Page Start:
- Page End:
- Publication Date:
- 2018-01-10
- Subjects:
- ptychography -- phase retrieval -- uniqueness -- geometric convergence -- twin-image ambiguity
Inverse problems (Differential equations) -- Periodicals
515.357 - Journal URLs:
- http://iopscience.iop.org/0266-5611 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1361-6420/aa9ef4 ↗
- Languages:
- English
- ISSNs:
- 0266-5611
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 11469.xml