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Cybernetics and programming
Reference:

Methods of the normal vectors construction in tasks of objects identification

Mezhenin Aleksandr Vladimirovich

PhD in Technical Science

Assosiate Professor of the Department of Engineering and Computer Graphics of the St. Petersburg State University of Information Technologies, Mechanics and Optics

197101, Russia, g. Saint Petersburg, ul. Kronverkskii Prospekt, 49

mejenin@mail.ru
Другие публикации этого автора
 

 
Izvozchikova Vera Vasil'evna

PhD in Technical Science

Associate Professor of the Department of Information Systems and Technology at the Orenburg State University

460018, Russia, Orenburg, Sharlukskoe shosse, d. 5

mejenin@mail.ru

DOI:

10.7256/2306-4196.2013.4.9358

Review date:

18-07-2013


Publish date:

1-8-2013


Abstract: The article deals with methods of calculating of normal vectors in tasks of similarity analysis of the polygon models of arbitrary topological type. Such studies can be used in evaluation of the quality of simplification of a polygonal net and the accuracy of the reconstruction of the three-dimensional models in tasks of photogrammetry. To determine the similarity of the three-dimensional (polygonal) objects author proposes to use the approaches of the general topology, the Hausdorff dimension. The author points out, that the most important step in the calculation of the discussed metric if in building the normal vectors to the surface. For the evaluation of the given methods and clear visualization of the normal vectors, the author developed m-functions in the MATLAB Image Processing Toolbox (IPT) environment.  This study confirms the correctness of the chosen direction of the for the analysis of the similarity of polygonal models of arbitrary topological type. The proposed approach can be applied to the tasks of evaluating the quality of algorithms for recognition and reconstruction of 3D models and to the problem of evaluation of the quality of simplified polygonal models.


Keywords: design, normal vector, identification of objects, algorithm, sensor, polygon model, topological space, polygon mesh, computer graphics, calculation
This article written in Russian. You can find full text of article in Russian here .

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