Hyperbolic interpolatory geometric subdivision schemes

2021 ◽  
pp. 113716
Author(s):  
Taoufik Ahanchaou ◽  
Aziz Ikemakhen
Keyword(s):  
Subdivision Schemes

scholarly journals Clothoid fitting and geometric Hermite subdivision

2021 ◽  
Vol 47 (4) ◽  
Author(s):  
Ulrich Reif ◽  
Andreas Weinmann
Keyword(s):  
Building Block ◽  
Numerical Results ◽  
Normal Vector ◽  
Subdivision Schemes ◽  
Planar Curves ◽  
Nonlinear Subdivision ◽  
New Strategy ◽  
Vector Information ◽  
Hermite Subdivision

AbstractWe consider geometric Hermite subdivision for planar curves, i.e., iteratively refining an input polygon with additional tangent or normal vector information sitting in the vertices. The building block for the (nonlinear) subdivision schemes we propose is based on clothoidal averaging, i.e., averaging w.r.t. locally interpolating clothoids, which are curves of linear curvature. To this end, we derive a new strategy to approximate Hermite interpolating clothoids. We employ the proposed approach to define the geometric Hermite analogues of the well-known Lane-Riesenfeld and four-point schemes. We present numerical results produced by the proposed schemes and discuss their features.

scholarly journals Convergence of Vector Subdivision Schemes in Sobolev Spaces

2002 ◽  
Vol 12 (1) ◽  
pp. 128-149 ◽  
Author(s):  
Di-Rong Chen ◽  
Rong-Qing Jia ◽  
S.D Riemenschneider
Keyword(s):  
Sobolev Spaces ◽  
Subdivision Schemes

scholarly journals Interpolatory blending net subdivision schemes of Dubuc–Deslauriers type

2012 ◽  
Vol 29 (9) ◽  
pp. 722-735 ◽  
Author(s):  
Costanza Conti ◽  
Nira Dyn ◽  
Lucia Romani
Keyword(s):  
Subdivision Schemes

scholarly journals Totally positive functions through nonstationary subdivision schemes

2007 ◽  
Vol 200 (1) ◽  
pp. 255-265 ◽  
Author(s):  
Costanza Conti ◽  
Laura Gori ◽  
Francesca Pitolli
Keyword(s):  
Subdivision Schemes ◽  
Totally Positive ◽  
Positive Functions

A study on the mask of interpolatory symmetric subdivision schemes

2007 ◽  
Vol 187 (2) ◽  
pp. 609-621 ◽  
Author(s):  
Kwan Pyo Ko ◽  
Byung-Gook Lee ◽  
Gang Joon Yoon
Keyword(s):  
Subdivision Schemes
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