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Smoothing large data sets using discrete thin plate splines
Springer Science and Business Media LLC - Tập 9 - Trang 185-195 - 2006
Linda Stals, Stephen Roberts
Traditional thin plate splines use radial basis functions and require the solution of a dense linear system of equations whose size is proportional to the number of data points. Instead of radial basis functions we present a method based on the use of polynomials with local support defined on finite element grids. This method is more efficient when dealing with large data sets as the resulting sys...... hiện toàn bộ
Adaptive finite element simulation of ventricular fibrillation dynamics
Springer Science and Business Media LLC - Tập 12 - Trang 201-205 - 2008
Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines
The paper communicates simulation results (computations and visualizations) for the dynamics of ventricular fibrillation caused by irregular excitation in the frame of the monodomain model with an action potential model due to Aliev–Panfilov for a human 3D geometry. The numerical solution of this challenging multiscale reaction–diffusion problem is attacked by algorithms which are fully adaptive i...... hiện toàn bộ
The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcement
Springer Science and Business Media LLC - Tập 18 - Trang 157-184 - 2017
Melania Carfagna, Alfio Grillo
Nowadays, the description of complex physical systems, such as biological tissues, calls for highly detailed and accurate mathematical models. These, in turn, necessitate increasingly elaborate numerical methods as well as dedicated algorithms capable of resolving each detail which they account for. Especially when commercial software is used, the performance of the algorithms coded by the user mu...... hiện toàn bộ
Multigrid methods for discrete elliptic problems on triangular surfaces
Springer Science and Business Media LLC - Tập 11 - Trang 251-257 - 2008
Ralf Kornhuber, Harry Yserentant
We construct and analyze multigrid methods for discretized self-adjoint elliptic problems on triangular surfaces in $${\mathbb{R}^3}$$ . The methods involve the same weights for restriction and prolongation as in the case of planar triangulations and therefore are easy to implement. We prove logarithmic b...... hiện toàn bộ
Feature lines extraction for remote rendering on point model
Springer Science and Business Media LLC - - 2013
Chuanjie Jing, Chunqiang Yuan, Shanfeng Hu, Yajie Yan, Xiaohui Liang
In this paper, we propose a method to extract feature lines on point model via an implicit fitting process at various scales. Based on these feature lines, we present a feature-based remote rendering scheme to interactively display large-scale point models on mobile devices over a low-bandwidth wireless network. By quickly loading and rendering the feature-line representations, users can well capt...... hiện toàn bộ
Numerical simulation of contaminant transport in groundwater using software tools of $$r^3t$$ r 3 t
Springer Science and Business Media LLC - Tập 18 Số 1 - Trang 17-29 - 2016
Peter Frolkoviăź, M. Lampe, Gabriel Wittum
UG - A flexible software toolbox for solving partial differential equations
Springer Science and Business Media LLC - Tập 1 Số 1 - Trang 27-40 - 1997
Peter Bastian, Klaus Birken, Klaus Johannsen, Stefan Lang, Maria Neuss‐Radu, H. Rentz-Reichert, Christian Wieners
Multichannel image segmentation using adaptive finite elements
Springer Science and Business Media LLC - Tập 12 - Trang 125-135 - 2008
J. Michael Fried
We present an adaptive finite element algorithm for segmentation with denoising of multichannel images in two dimensions, of which an extension to three dimensional images is straight forward. It is based on a level set formulation of the Mumford–Shah approach proposed by Chan and Vese in (JVCIR 11:130–141,(2000); IEEE Trans Image Proces 10(2):266–277, (2001); Int J Comp Vis 50(3):271–293, (2002))...... hiện toàn bộ
Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates
Springer Science and Business Media LLC - Tập 16 - Trang 247-258 - 2015
Steffen Börm, Knut Reimer
Many matrices appearing in numerical methods for partial differential equations and integral equations are rank-structured, i.e., they contain submatrices that can be approximated by matrices of low rank. A relatively general class of rank-structured matrices are $${\mathcal {H}}^2$$ ...... hiện toàn bộ
Some variants of the Bank–Holst parallel adaptive meshing paradigm
Springer Science and Business Media LLC - Tập 9 Số 3 - Trang 133-144 - 2006
Randolph E. Bank
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