Development Of A Mathematical Model To Determine The Accuracy Of The Algorithm Of Shape From Polarization

Abstract

There are a large number of devices on market of 3D scanners that are able to get form of 3D surfaces of objects on different physical principles: laser lidars, systems with optical cameras, time-of-flight sensors and etc. At the moment, SONY company released sensors with polarizing spraying on the matrix, what in the aggregate with algorithm SFP – shape from polarization – can give information about the shape of the surface of the object, herewith without using active radiation sources. For creation of algorithms, creation of prototypes it is required to make modeling. Therefore, this article describes the process of creating a mathematical apparatus for processing polarized light data, based on the theory of micro-surface reflection of light. This mathematical apparatus will let to simulate the polarization of light depending on the location of the camera, the light and the inclination of the surface. A simulation and comparison with the results were made in the article.

Keywords

• shape from polarization
• polarization
• 3-d reconstruction