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Probability distribution free multi-level sampling pattern design for single pixel cameras

Bhattacharjee, Protim and Börner, Anko (2021) Probability distribution free multi-level sampling pattern design for single pixel cameras. SPIE. SPIE Digital Optical Technologies 2021, 21-26 June 2021, Online. doi: 10.1117/12.2593810.

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Abstract

Traditional compressed sensing matrices like the Gaussian random matrices and Bernoulli matrices are signal structure agnostic due to their adherence to the Restricted Isometry Property (RIP). However, practical measurement operators like the Walsh measurement matrix do not posses RIP and their reconstruction quality can be improved when the measurements are adapted to the signal structure. Sparsity in natural images decay in an asymptotic manner with dense low spatial frequency subbands and sparser higher frequency subbands. Existing methods use decaying power laws to generate a probability map that mimics this sparsity behaviour. Specifying the subbands to sample and the number of measurements to sample in each subband is difficult in such methods. Also generating frequency selective maps is difficult. We propose a sampling pattern design procedure that adheres to the asymptotic sparsity principle but allows selection of the spatial frequency subbands. Bounds are provided such that maximum measurements are allocated to low spatial frequencies. Through experiments on airborne imagery we show that the proposed method works at-par with existing methods for regular imaging requirements. In an unknown environment the proposed method ensures acquisition of spatial frequencies as- sociated with maximum energy and allows easy and flexible design of sampling patterns for frequency selective imaging in specialized scenarios.

Item URL in elib:https://elib.dlr.de/143660/
Document Type:Conference or Workshop Item (Speech)
Title:Probability distribution free multi-level sampling pattern design for single pixel cameras
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Bhattacharjee, Protimprotim.bhattacharjee (at) dlr.deUNSPECIFIED
Börner, AnkoAnko.Boerner (at) dlr.deUNSPECIFIED
Date:20 June 2021
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:11788
DOI :10.1117/12.2593810
Page Range:pp. 104-118
Publisher:SPIE
Status:Published
Keywords:Multi-level sampling, Single pixel cameras, Compressed sensing, Multi-level sampling design, Exploration systems
Event Title:SPIE Digital Optical Technologies 2021
Event Location:Online
Event Type:international Conference
Event Dates:21-26 June 2021
Organizer:SPIE
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Project MOREX [SY]
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Optical Sensor Systems > Real-Time Data Processing
Deposited By: Bhattacharjee, Protim
Deposited On:06 Sep 2021 09:22
Last Modified:06 Sep 2021 09:22

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