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Automatic allocation of 3D models algorithms on a two-dimensional map.

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Název: Automatic allocation of 3D models algorithms on a two-dimensional map.
Autoři: Klyachin, Vladimir, Chebanenko, Nikita
Zdroj: AIP Conference Proceedings; 2021, Vol. 2402 Issue 1, p1-6, 6p
Témata: TWO-dimensional models, AFFINE transformations, PROBLEM solving, THREE-dimensional modeling
Abstrakt: The article deals with the problem of finding the parameters of an affine transformation for combining a three-dimensional model and a polygonal region on a plane. This problem arises in the automatic assembly of a three-dimensional scene, when the position of each model is specified on a two-dimensional map in the form of a polygon, which is similar to some basic polygon of a three-dimensional model. The article presents two algorithms for solving this problem in different conditions. In the first version of the problem, only the vertices of the polygons are assumed to be known. To find the parameters of the corresponding affine transformation, a method based on minimizing the Hausdorff distance is used. The second case of the problem assumes that each edge of the base polygon is some edge of the polyhedron of the 3D model. In this case, the correct traversal of the vertices of the polygons is pre-calculated using the information about the edge connections of the polyhedron of the 3D model. [ABSTRACT FROM AUTHOR]
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Databáze: Complementary Index
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Abstrakt:The article deals with the problem of finding the parameters of an affine transformation for combining a three-dimensional model and a polygonal region on a plane. This problem arises in the automatic assembly of a three-dimensional scene, when the position of each model is specified on a two-dimensional map in the form of a polygon, which is similar to some basic polygon of a three-dimensional model. The article presents two algorithms for solving this problem in different conditions. In the first version of the problem, only the vertices of the polygons are assumed to be known. To find the parameters of the corresponding affine transformation, a method based on minimizing the Hausdorff distance is used. The second case of the problem assumes that each edge of the base polygon is some edge of the polyhedron of the 3D model. In this case, the correct traversal of the vertices of the polygons is pre-calculated using the information about the edge connections of the polyhedron of the 3D model. [ABSTRACT FROM AUTHOR]
ISSN:0094243X
DOI:10.1063/5.0074073