scholarly journals Concept Modeling With Nurbs, Polygon, And Subdivision Surfaces

2020 ◽  
Author(s):  
James Wronecki
Keyword(s):  
Subdivision Surfaces ◽  
Concept Modeling

scholarly journals Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mehwish Bari ◽  
Ghulam Mustafa ◽  
Abdul Ghaffar ◽  
Kottakkaran Sooppy Nisar ◽  
Dumitru Baleanu
Keyword(s):  
Computer Graphics ◽  
Geometric Modeling ◽  
Tension Control ◽  
Free Form ◽  
Subdivision Surfaces ◽  
Smooth Curves ◽  
Practical Applications ◽  
Tension Parameter ◽  
Exact Reproduction ◽  
Free Form Surfaces

AbstractSubdivision schemes (SSs) have been the heart of computer-aided geometric design almost from its origin, and several unifications of SSs have been established. SSs are commonly used in computer graphics, and several ways were discovered to connect smooth curves/surfaces generated by SSs to applied geometry. To construct the link between nonstationary SSs and applied geometry, in this paper, we unify the interpolating nonstationary subdivision scheme (INSS) with a tension control parameter, which is considered as a generalization of 4-point binary nonstationary SSs. The proposed scheme produces a limit surface having $C^{1}$ C 1 smoothness. It generates circular images, spirals, or parts of conics, which are important requirements for practical applications in computer graphics and geometric modeling. We also establish the rules for arbitrary topology for extraordinary vertices (valence ≥3). The well-known subdivision Kobbelt scheme (Kobbelt in Comput. Graph. Forum 15(3):409–420, 1996) is a particular case. We can visualize the performance of the unified scheme by taking different values of the tension parameter. It provides an exact reproduction of parametric surfaces and is used in the processing of free-form surfaces in engineering.

A reduced beam and joint concept modeling approach to optimize global vehicle body dynamics

2009 ◽  
Vol 45 (6-7) ◽  
pp. 439-455 ◽  
Author(s):  
S. Donders ◽  
Y. Takahashi ◽  
R. Hadjit ◽  
T. Van Langenhove ◽  
M. Brughmans ◽  
...  
Keyword(s):  
Vehicle Body ◽  
Modeling Approach ◽  
Body Dynamics ◽  
Concept Modeling

Error bounds for Loop subdivision surfaces

2013 ◽  
Vol 91 (3) ◽  
pp. 688-703 ◽  
Author(s):  
Guorong Zhou ◽  
Xiao-Ming Zeng
Keyword(s):  
Error Bounds ◽  
Subdivision Surfaces

Upfront Body Structural Optimization using Parametric Concept Modeling

2009 ◽  
Author(s):  
C. H. Chuang ◽  
S. Zhou ◽  
W. Ang ◽  
R. J. Yang ◽  
M. Lee
Keyword(s):  
Structural Optimization ◽  
Concept Modeling

Smooth blending of subdivision surfaces

2006 ◽  
Vol 38 (7) ◽  
pp. 786-799 ◽  
Author(s):  
K.C. Hui ◽  
Y.H. Lai
Keyword(s):  
Subdivision Surfaces
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