Regular dodecahedral stylization: geometry aesthetic modeling of three-dimensional surface mesh

The geometric stylization of 3D shapes has gained significant attention in computer graphics for its unique aesthetic appeal. This paper presents a novel method utilizing face normals to achieve regular dodecahedral stylization, capable of transforming the input shape into the regular dodecahedral style while preserving the content of the original shape. Implementing our method is straightforward because it incurs a cost only in solving several linear systems. Extensive testing demonstrates the effectiveness of the algorithm in generating aesthetically pleasing geometric shapes with a regular dodecahedral style across varying levels of complexity and topological structures.