Three-dimensional Visualization of Vector Objects

With the mathematical fundamentals of tensor calculus and its object-oriented implementation in numerical algorithms described in the preceding chapters, the objects in three-dimensional Euclidean space have been captured. They can be managed accordingly and represented through transformations in different views. The illustrations shown clarified these relationships in the spatial context.For more complex situations, there is generally the challenge of developing a spatial understanding of how the objects are arranged and how they relate to each other. This requires appropriate geometric models that can be spatially examined from different sights to understand the positioning of objects, detect errors, and exclude unauthorized collisions.For this purpose parallel and central perspectives on technical objects are of common use in engineering. Therefore in the following sections, such a concept is converted into object-oriented methods and implemented in the adequate classes PERSPEKTIVE and PyPLOT with elementary graphic tools based on the universal programming language Python being available in Visual Studio [Microsoft 2023]. Its application is demonstrated with the graphics function BASES_3D. Figure 5.5 displays the intended clarity in a typical stereo vision.