A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells


  • A.Yu. Dizhevskii Lomonosov Moscow State University


триангуляция, таблица случаев, разбиение пространства, марширующие кубы, марширующие призмы, пространственная триангуляция


The most popular algorithms for constructing a triangulation of 3D-objects via space partitioning into cubic and tetrahedral cells are considered. А general approach to the triangulation on the basis of space partitioning into arbitrary cells is proposed. As examples, two new methods of triangulation are discussed. These methods use a space division into pyramids and prisms. Some peculiarities of computer implementation of these methods are analyzed. A qualitative comparative analysis of the resulting triangulations is given.

Author Biography

A.Yu. Dizhevskii


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How to Cite

Дижевский А.Ю. A General Approach to the Implementation of Methods for the Implicit Surface Triangulation Using Space Partitioning into Cells // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2007. 8. 286-296



Section 1. Numerical methods and applications