Open AccessAlgorithm for Restoring the Surface of an Object from Its Image
Author(s) -
Alеksеy Klyachin,
V. A. Klyachin
Publication year - 2021
Publication title -
matematičeskaâ fizika i kompʹûternoe modelirovanie
Language(s) - English
Resource type - Journals
eISSN - 2587-6902
pISSN - 2587-6325
DOI - 10.15688/mpcm.jvolsu.2021.1.2
Subject(s) - triangle mesh , surface (topology) , orientation (vector space) , algorithm , snapshot (computer storage) , grid , point (geometry) , projection (relational algebra) , object (grammar) , geometry , mathematics , computer science , computer vision , artificial intelligence , polygon mesh , operating system
This paper describes an algorithm for constructing a surface based on the projection of a triangular mesh applied to this surface. In this case, the angles of the mesh triangles are assumed to be known. This algorithm can be applied to determining the orientation of a three-dimensional object from its snapshot, if the object surface has triangular elements with known angles in advance. In addition to the description of the algorithm, the article gives examples of surface restoration (see figures 2–4), calculates the calculation error for them and examples of the algorithm application in the problem of determining the orientation of buildings from a photograph. As a result, a spatial triangular mesh was reconstructed from a given flat grid (see figure ref fig: fig1), and the calculation error was 6.21e-05. Measurements of the coordinates of a point in the images and calculations using the formulas (2) and (3) gave an error on average of 0.84°.