Determining and reconstructing a shape and a material property of an object

A method for implementing structured polarized illumination techniques to determine and reconstruct a shape and a material property of an object, comprising:

• transmitting an original beam of light;
• diffracting, utilizing a first grating, the original beam of light into a first light beam having a first circular polarization and a second light beam having a second circular polarization;
• receiving the first light beam and the second light beam at a second grating and transmitting overlapping light beams towards the object;
• capturing, utilizing a polarization camera, light reflected from the object;
• determining, based on a fringe projection analysis associated with the object, the shape of the object;
• and
• determining, based on the fringe projection analysis associated with the object, a Mueller matrix to describe the material properties of the object.

An apparatus, comprising:

• a processor;
• and
• a non-transitory computer-readable storage medium having an executable stored thereon, which when executed instructs the processor to:
• determine an input Stokes vector associated with overlapping light beams from a grating;
• implement a polarization camera to capture light reflected from an object;
• determine, based on a fringe projection analysis associated with the object, a shape of the object;
• determine, based on the fringe projection analysis associated with the object, an output Stokes vector;
• and
• determine, based on the fringe projection analysis associated with the object, the input Stokes vector, and the output Stokes vector, a Mueller matrix to describe material properties of the object.