Sampling time-resolved phenomena

Broadly speaking, time-resolved phenomena refers to three dimensional capture of a scene based on the time-of-flight principle. Since speed and and time are proportional quantities, knowing time-of-flight allows one to estimate distances. This time-of-flight may be attributed to a pulse of light or a wave packet of sound. Depending on the sub-band of the electromagnetic spectrum, the interaction of waves or pulses with the scene of interest results in measurements and based on this proxy of the physical world, one is interested in inferring physical properties of the scene. This may be something simple as depth, or something more involved such as fluorescence lifetime of a biological sample or the diffusion coefficient of turbid/scattering medium. The goal of this work is to develop a unifying approach to study time-resolved phenomena across various sub-bands of the electromagnetic spectrum, devise algorithms to solve for the corresponding inverse problems and provide fundamental limits. Sampling theory, which deals with the interplay between the discrete and the continuous realms, plays a critical role in this work due to the continuous nature of physical world and the discrete nature of its proxy, that is, the time-resolved measurements.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Program in Media Arts and Sciences (Massachusetts Institute of Technology)

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2018

Author dc:creator

• Bhandari, Ayush.

Advisor dc:contributor.advisor

• Ramesh Raskar.

• Program in Media Arts and Sciences

Statement dc:rights

• MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/128455

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/128455