scholarly journals Subdivision depth computation for n-ary subdivision curves/surfaces

2010 ◽  
Vol 26 (6-8) ◽  
pp. 841-851 ◽  
Author(s):  
Ghulam Mustafa ◽  
Muhammad Sadiq Hashmi
Keyword(s):  
Subdivision Depth ◽  
Subdivision Curves

scholarly journals A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 66 ◽  
Author(s):  
Aamir Shahzad ◽  
Faheem Khan ◽  
Abdul Ghaffar ◽  
Ghulam Mustafa ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Numerical Algorithm ◽  
Subdivision Schemes ◽  
Practical Applications ◽  
Curves And Surfaces ◽  
Geometrical Shapes ◽  
Subdivision Depth ◽  
Subdivision Curves

Subdivision schemes are extensively used in scientific and practical applications to produce continuous geometrical shapes in an iterative manner. We construct a numerical algorithm to estimate subdivision depth between the limit curves/surfaces and their control polygons after k-fold subdivisions. In this paper, the proposed numerical algorithm for subdivision depths of binary subdivision curves and surfaces are obtained after some modification of the results given by Mustafa et al in 2006. This algorithm is very useful for implementation of the parametrization.

Estimating subdivision depth of Catmull-Clark surfaces

2004 ◽  
Vol 19 (5) ◽  
pp. 657-664 ◽  
Author(s):  
Hua-Wei Wang ◽  
Kai-Huai Qin
Keyword(s):  
Subdivision Depth

scholarly journals A New Computational Approach to Estimate the Subdivision Depth of n-Ary Subdivision Scheme

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 187146-187155
Author(s):  
Ghulam Mustafa ◽  
Aamir Shahzad ◽  
Faheem Khan ◽  
Dumitru Baleanu ◽  
Yuming Chu
Keyword(s):  
Computational Approach ◽  
Subdivision Scheme ◽  
Subdivision Depth

Trajectory generation in high-speed, high-precision micromilling using subdivision curves

2010 ◽  
Vol 50 (4) ◽  
pp. 394-403 ◽  
Author(s):  
Athulan Vijayaraghavan ◽  
Angela Sodemann ◽  
Aaron Hoover ◽  
J. Rhett Mayor ◽  
David Dornfeld
Keyword(s):  
High Precision ◽  
High Speed ◽  
Trajectory Generation ◽  
Subdivision Curves

Taxonomy of interpolation constraints on recursive subdivision curves

2002 ◽  
Vol 18 (4) ◽  
pp. 259-272 ◽  
Author(s):  
Ahmad H. Nasri ◽  
Malcolm A. Sabin
Keyword(s):  
Subdivision Curves

scholarly journals Geodesic Conic Subdivision Curves on Surfaces

2011 ◽  
Author(s):  
Jorge Estrada Sarlabous ◽  
Victoria Hern´ndez Mederos ◽  
Nayla Lopez Gil ◽  
Luiz Velho ◽  
Dimas Martinez Morera
Keyword(s):  
Curves On Surfaces ◽  
Subdivision Curves
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