Elementary factorisation of Box spline subdivision
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9612-x
Abstract: When a subdivision scheme is factorised into lifting steps, it admits an in–place and invertible implementation, and it can be the predictor of many multiresolution biorthogonal wavelet transforms. In the regular setting where the underlying… read more here.
Keywords: elementary factorisation; subdivision scheme; factorisation; box spline ... See more keywords
Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature
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DOI: 10.1007/s10444-019-09693-x
Abstract: This paper studies well-definedness and convergence of subdivision schemes which operate on Riemannian manifolds with nonpositive sectional curvature. These schemes are constructed from linear ones by replacing affine averages by the Riemannian centre of mass.… read more here.
Keywords: subdivision; riemannian manifolds; manifolds nonpositive; subdivision schemes ... See more keywords
A modified simplicial algorithm for convex maximization based on an extension of $$\omega $$ω-subdivision
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Global Optimization"
DOI: 10.1007/s10898-018-0619-0
Abstract: The simplicial algorithm is a popular branch-and-bound approach to the convex maximization problem with multiple local maxima. In this paper, we discuss some difficulties revealed when implementing this algorithm under the $$\omega $$ω-subdivision rule. To… read more here.
Keywords: simplicial algorithm; omega subdivision; subdivision; convex maximization ... See more keywords
A Hybrid Non-Stationary Subdivision Scheme Based on Triangulation
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-021-01114-2
Abstract: During the past four decades, a lot of research works have been carried out for the construction of surfaces based on subdivision schemes. In contrast, non-stationary subdivision schemes have received much attention due to their… read more here.
Keywords: stationary subdivision; subdivision scheme; hybrid non; subdivision ... See more keywords
Spectra of Subdivision-Vertex Join and Subdivision-Edge Join of Two Graphs
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0466-z
Abstract: The subdivision graph $${\mathcal {S}}(G)$$S(G) of a graph G is the graph obtained by inserting a new vertex into every edge of G. Let $$G_1$$G1 and $$G_2$$G2 be two vertex disjoint graphs. The subdivision-vertex join… read more here.
Keywords: subdivision; edge; graph; join ... See more keywords
Isogeometric analysis of minimal surfaces on the basis of extended Catmull–Clark subdivision
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.03.040
Abstract: Abstract We study the application of Isogeometric Analysis based on extended Catmull–Clark subdivision approach for the minimal surface models on planar domains. Subdivision approaches are compatible with NURBS as the standard of CAD systems which… read more here.
Keywords: catmull clark; clark subdivision; extended catmull; subdivision ... See more keywords
Parcellation of the human amygdala using recurrence quantification analysis
Sign Up to like & getrecommendations! Published in 2021 at "NeuroImage"
DOI: 10.1016/j.neuroimage.2020.117644
Abstract: Several previous attempts have been made to divide the human amygdala into smaller subregions based on the unique functional properties of the subregions. Although these attempts have provided valuable insight into the functional heterogeneity in… read more here.
Keywords: human amygdala; analysis; connectivity; subdivision ... See more keywords
The influence of porosity on tablet subdivision
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DOI: 10.1016/j.partic.2020.06.001
Abstract: Abstract A tablet microstructure, especially the porosity, is a crucial parameter that influences the mechanical properties. Herein, tablet subdivisions were studied as a function of tablet porosity. The tablets were manufactured in the presence of… read more here.
Keywords: porosity; tablet porosity; porosity tablet; subdivision ... See more keywords
Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2021.1926453
Abstract: In this paper, we propose a new family of non-stationary subdivision scheme, based on mixed trigonometric hyperbolic B-spline basis functions with two tension and one shape parameters. We prove that the proposed subdivision scheme of… read more here.
Keywords: subdivision; subdivision scheme; shape parameters; two tension ... See more keywords
Increasing the smoothness of vector and Hermite subdivision schemes
Sign Up to like & getrecommendations! Published in 2017 at "Ima Journal of Numerical Analysis"
DOI: 10.1093/imanum/dry010
Abstract: In this paper we suggest a method for transforming a vector subdivision scheme generating $C^{\ell}$ limits to another such scheme of the same dimension, generating $C^{\ell+1}$ limits. In scalar subdivision, it is well known that… read more here.
Keywords: vector; subdivision; subdivision schemes; scheme ... See more keywords
An adaptive binary-tree subdivision method for evaluation of nearly singular integrals in 3D BEM
Sign Up to like & getrecommendations! Published in 2023 at "Engineering Computations"
DOI: 10.1108/ec-11-2022-0670
Abstract: PurposeThe purpose of this paper is to present an adaptive binary-tree element subdivision method (BTSM) for the evaluation of nearly singular integrals in three-dimensional boundary element method, which can facilitate automatic and high-quality patch generation.Design/methodology/approachIn… read more here.
Keywords: subdivision; nearly singular; singular integrals; adaptive binary ... See more keywords