Modelo matemático-informático de digitalización 3d de objetos sólidos reales o virtuales, mediante el procesamiento de matrices multidimensionales

Abstract

The present is a research project that addresses, from a theoretical perspective, through a mathematical model of multidimensional matrix processing, the three-dimensional reconstruction in a superficial and solid way, based on the capture, binarization and processing of trihedric orthoganal images of a physical object. In the same way, a model applicable to the reconstruction of a virtual object, from which its silhouettes can be designed or drawn corresponding to its superior, lateral and frontal perspectives. A different methodology is proposed to the traditional three-dimensional capture and reconstruction technologies, which is focused on the solid and not only superficial representation of the object, thus allowing the direct obtaining of reliable approximations of values or magnitudes of area and volume. From the practical perspective, the result is a prototype of 3D scanning software, or three-dimensional scanner, that offers attributes with low cost, high conceptual content and easy implementation, based on the processing of photographs obtained from mobile devices.