System and method for rapid oct image acquisition using compressive sampling

A method for rapid Optical Coherence Tomography image acquisition comprising:

• acquiring by Optical Coherence Tomography a plurality of compressive measurements (y) representing a set of under-sampled Optical Coherence Tomography data in a Dirac domain below a Nyquist rate by sampling an object of interest at randomly angularly spaced radial scan lines in a radial geometry using a radial scan;
• mapping said compressive measurements (y) from said radial geometry to a Cartesian grid having radial coordinates;
• recovering a set of recovered radial scan images (f) from the compressive measurements (y) using compressive sampling;
• and
• mapping said recovered radial scan images from said Cartesian grid to a 3D Cartesian geometry having Cartesian coordinates to produce a physical 3D volumetric Optical Coherence Tomography image.

A method for rapid tomographic image acquisition comprising:

• acquiring by emissive imaging means a plurality of compressive measurements (y) representing a set of under-sampled tomographic data in a Dirac domain below a Nyquist rate by sampling an object of interest at randomly angularly spaced radial scan lines in a radial geometry using a radial scan;
• mapping said compressive measurements (y) from said radial geometry to a Cartesian grid having radial coordinates;
• recovering a set of recovered radial scan images (f) from the compressive measurements (y) using compressive sampling;
• and
• mapping said recovered radial scan images from said Cartesian grid to a 3D Cartesian geometry having Cartesian coordinates to produce a physical 3D volumetric tomographic image.