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Subdivision scheme 3 B-splines 1 Bell-shaped mask 1 Box-splines 1 Cell-average multiresolution 1 Image interpolation 1 Kriging 1 Near-best quasi-interpolants 1 Non-regular data prediction 1 Nonlinear subdivision scheme 1 Refinable function vector 1 Shape-preserving 1 Subcell resolution 1 Zoom 1
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Article 4
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Amat, S. 1 Ameur, El Bachir 1 Baccou, Jean 1 Barrera, Domingo 1 Ibáñez, María J. 1 Liandrat, Jacques 1 Pitolli, Francesca 1 Ruiz, J. 1 Sbibih, Driss 1 Trillo, J.C. 1
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Mathematics and Computers in Simulation (MATCOM) 4
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Ternary shape-preserving subdivision schemes
Pitolli, Francesca - In: Mathematics and Computers in Simulation (MATCOM) 106 (2014) C, pp. 185-194
any bell-shaped mask, satisfying the basic sum rules, gives rise to a convergent monotonicity preserving subdivision … scheme, but convexity preservation is not guaranteed. We show that to reach convexity preservation the first order divided …
Persistent link: https://www.econbiz.de/10011077432
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Adaptive interpolation of images using a new nonlinear cell-average scheme
Amat, S.; Ruiz, J.; Trillo, J.C. - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 9, pp. 1586-1596
We present a new method for image interpolation which combines a cell average version of the nonlinear interpolatory technique called PPH (Piecewise Polynomial Harmonic) and subcell resolution techniques. It is designed to perform more accurately at discontinuities, avoiding the evaluation of...
Persistent link: https://www.econbiz.de/10010751873
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Kriging-based subdivision schemes: Application to the reconstruction of non-regular environmental data
Baccou, Jean; Liandrat, Jacques - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 10, pp. 2033-2050
This work is devoted to the construction of new kriging-based interpolating position-dependent subdivision schemes for data reconstruction. Their originality stands in the coupling of the underlying multi-scale framework associated to subdivision schemes with kriging theory. Thanks to an...
Persistent link: https://www.econbiz.de/10010750213
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Near-best operators based on a C2 quartic spline on the uniform four-directional mesh
Ameur, El Bachir; Barrera, Domingo; Ibáñez, María J.; … - In: Mathematics and Computers in Simulation (MATCOM) 77 (2008) 2, pp. 151-160
We present some results about the construction of quasi-interpolant operators based on a special C2 quartic B-spline. We show that these operators, called near-best quasi-interpolants, have the best approximation order and small infinity norms. They are obtained by solving a minimization problem...
Persistent link: https://www.econbiz.de/10011050791
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