Variable Voxel Computing Method Innovative Approaches to Reduce the Computing Load in Voxel-based Solid Modeling and New Representation Methods

The concept of ``voxel'' refers to a volumetric element or volumetric pixel and corresponds to the smallest piece that can be computed in solid and complex model analysis. The voxel-based solid modeling commonly used by geometry-based CAD (Computer-Aided Design) applications. Whilst other geometry-based modeling methods, it uses pixels as the smallest unit instead of dots or vectors. However, the size of the data contained in the smallest unit causes problems such as computing load and representation inaccuracies. This study fundamentally aims to find a fast and effective method for voxel-based solid modeling. While doing that it presents a new visualization algorithm. During the research, the transformation of a geometric model into voxels, then the reproduction of these voxels, and finally, the representation method were practiced and compared. In this process, three complex models were developed and compared by their complexity, their voxelization time, and the amount of time that spend during the formation. As a result, the study proposes new representation methods for voxel-based solid modeling.