Triangulation of a flat region given in obj format

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This paper describes a method for triangulating a flat region defined by its boundary as a set of closed polygonal lines. Information about these lines is stored in verb’obj files. The algorithm is based on the idea of ??shifting the extreme points of the initial triangulation to the region’s boundary. To perform this shift, a single vector field directed toward the region’s boundary is constructed. Corresponding software was developed, and a triangulation of two regions, the boundaries of which were obtained through modeling in the verb’Blender environment, was constructed. The approach discussed in this paper enables the automation of the triangulation process without the labor-intensive step of writing out mathematical formulas defining the region’s boundary. The region is constructed in a visual modeling environment, and the file saved in verb’obj format is passed for processing to the algorithm presented in the paper, which completes the triangulation process.

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Triangulation of a region, shift of extreme nodes, computational grid, plane partitioning

Короткий адрес: https://sciup.org/149149872

IDR: 149149872   |   УДК: 519.688   |   DOI: 10.15688/mpcm.jvolsu.2025.4.3