A mixed hyperbolic/trigonometric non-stationary subdivision scheme for arbitrary topology meshes

被引：3
|
作者：
Barrera, Domingo [1 ]
Lamnii, Abdellah [2 ]
Nour, Mohamed-Yassir [3 ,4 ]
Zidna, Ahmed [4 ]
机构：
[1] Univ Granada, Dept Appl Math, Granada, Spain
[2] Abdelmalek Essaadi Univ LaSAD, ENS, Tetouan 93030, Morocco
[3] Univ Hassan First, MISI Lab, FSTS, Settat, Morocco
[4] Univ Lorraine, LGIPM, Metz, France
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年
关键词：
arbitrary topology; non-stationary subdivision; medical image; mixed hyperbolic; trigonometric subdivision; shape parameter; SPLINE SURFACES;
D O I：
10.1002/mma.8350
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new non-stationary mixed scheme constructed from hyperbolic and trigonometric schemes is presented. It is characterized by a shape parameter that allows the user to modify the shape of the surface obtained from a given initial mesh. Such a non-stationary subdivision scheme is constructed by taking the tensor product of the univariate mixed hyperbolic/trigonometric schemes by giving appropriate rules in the neighborhoods of the extraordinary points. This new scheme can generate tangent plane continuous surfaces. Some examples are given to show the performance of these new schemes, such as the reconstruction of 3D models extracted from medical images.
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页数：12
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