NRO-stylization: A novel algorithm for regular octahedral stylization aesthetic modeling of three-dimensional surface mesh

Abstract

Stylization of 3D shapes has been a prominent topic in computer graphics. Geometric stylization, as a category within 3D shape stylization, has garnered widespread attention due to its distinctive geometric aesthetics. This paper introduces a novel and simplified method for achieving regular octahedral stylization, capable of transforming the input shape into the regular octahedral style while preserving the content of the original shape. The proposed method achieves regular octahedral stylization by using face normals. Its implementation is straightforward because it incurs a cost only in terms of solving several linear systems. To demonstrate the effectiveness and robustness of the proposed method, extensive tests were conducted on models with varying levels of complexity and topological structures. The results highlight the exceptional capability of the proposed method to generate geometric shapes with an aesthetically pleasing regular octahedral style.