Uma análise detalhada da transformada de Hotelling na qualidade de malhas

Abstract

In computer graphics, the use of meshes presents more and more applications, such as in research, simulations, games, and movies, among others. Seeking to generate more refined meshes, studies present algorithms for tetrahedral mesh generation, applications of refinements, optimizations, improvements, and mesh transformations. Using mesh generation techniques and mesh applications in the Hotelling Transform, this work seeks to obtain more accurate results regarding the final quality of the mesh and to evaluate the influence of these techniques on the quality of the generated elements. For this purpose, concepts of Principal Component Analysis and Linear Transformations are used. Finally, this work presents quantity (absolute value) and percentage (relative value) statistical results on trend measurements, about the elements that compose a model, which allows the evaluation of how much the technique affected the final quality of the generated mesh in models that have main axes orientation misaligned from the global axes.