Shape Recovery of Objects with Structured Light Patterns using Bezier Curves

Abstract

The recovery of the shape of the objects is of utmost importance in order to have numerical models, for example: in industry for the generation of pieces, in health in prosthesis construction, in archeology for the conservation of the unique pieces. A method to recover the shape of objects, consists of the projection of structured light, which basically consists of making a beam of ligth fall on the object and measuring the distortion it suffers, which is proportional to the shape of the object, which was captured through a digital image. Digital images contain a large amount of information, which needs to be processed in order to extract those relevant areas for a specific purpose. In the theory  of numerical methods, various interpolation techniques stand out, the purpose of which is to establish approximations that are use ful in what you want to study or analyze. One of them is Bezier, whose geometric and analytical characteristics of these polynomials result in the  relevance of their use. In this work, the study areas mentioned in previous paragraphs are applied in order to recover the shape of the object on which the structured light beam falls, the extraction of points of interest using computing vision and applying Bezier polynomials to obtain shape.