In this paper, we propose an efficient computational method for converting local coordinates to world coordinates using specially structured coordinate data. The problem in question is the computation of world coordinates of an object throughout a motion, assuming that we only know the changing coordinates of some fixed surrounding reference points in the local coordinate system of the object. The proposed method is based on barycentric coordinates; by taking the aforementioned static positions as the vertices of a polyhedron, we can specify the coordinates of the object in each step with the help of barycentric coordinates. This approach can significantly help us to achieve more accurate results than by using other possible methods. In the paper, we describe the problem and barycentric coordinate-based solution in detail. We then compare the barycentric method with a technique based on transformation matrices, which we also tested for solving our problem. We also present various diagrams that demonstrate the efficiency of our proposed approach in terms of precision and performance.
As many research projects face the need to manage a large amount of generated research-specific data, usually with a specific structure, the demand for visualization systems is common. Likewise, the emerging data volume could turn substantially transparent cast in a visual appearance. Also, the non-trivial character of the dataset made the construction of a custom visualization necessary. Taking the possessed requirements into account, we designed a tool for processing the simulation data and handling the issue resulted from the indirectness with a previously analyzed barycentric conversion method. The system also visualizes the microscopic organism's behavior and supports a straightforward data analysis through several built-in tools.
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