In this chapter, various algorithms for visualizing objects in space will be presented and implemented. Some of these algorithms require significant memory resources, while others are computationally intensive. The choice of an appropriate algorithm depends on the nature of the problem, the available hardware, and the characteristics of the scene being visualized. When rendering objects from a particular viewpoint, typically only a portion of the object is visible. Therefore, hidden surfaces are removed prior to rendering using a technique known as Hidden Surface Removal [52]. Additionally, parts of an object may be occluded by other objects, a problem partially addressed by the Painter's Algorithm [22], also referred to as the Depth-Sort Algorithm [21]. However, this algorithm does not provide optimal results in all scenarios, as will be demonstrated later in the chapter. Consequently, the Z-buffer Algorithm [174] or its improved variant, based on a modification of the depth-sort algorithm, is frequently employed in practice. Nevertheless, the modified algorithm has a time complexity of order \(\Theta (n^{3} )\) due to the underlying data structures, while the Z-buffer algorithm consumes a large amount of RAM memory. To accelerate the modified Painter's Algorithm, advanced concepts such as Binary Space Partition Trees (BSP Trees) [86, 156] are introduced. BSP trees find broad application in various fields, including shadow generation [148], set operations on polyhedra [175], visibility preprocessing for interactive walkthroughs [26], range searching [23], and cell decomposition in motion planning [50]. BSP trees are widely used in graphic design, video games (e.g., Doom, Quake, RPGs), virtual simulations (VRML), animation, video [148], and Geographic Information Systems (GIS) [143]. Furthermore, structures such as kd-trees [149] and quadtrees [116] represent special cases of BSP trees, where the splitting planes are orthogonal to the z-axis.