2019/08/16 by Evgeny Lipovetsky, Lipovetsky, Evgeny, Nira Dyn +1
Engineering · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #Graphics (cs.GR) #Manufacturing Process and Optimization
paper · pdf · doi:10.48550/arxiv.1908.06154
openalex publication_date 2019/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we extend the 2D circle average of [11] to a 3D binary average\nof point-normal pairs, and study its properties. We modify classical\nsurface-generating linear subdivision schemes with this average obtaining\nsurface-generating schemes refining point-normal pairs. The modified schemes\ngive the possibility to generate more geometries by editing the initial\nnormals. For the case of input data consisting of a mesh only, we present a\nmethod for computing "naive" initial normals from the initial mesh. The\nperformance of several modified schemes is compared to their linear variants,\nwhen operating on the same initial mesh, and examples of the editing\ncapabilities of the modified schemes are given. In addition we provide a link\nto our repository, where we store the initial and refined mesh files, and the\nimplementation code. Several videos, demonstrating the editing capabilities of\nthe initial normals are provided in our Youtube channel.\n