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Iske A., Arnold V.I. — Multiresolution methods in scattered data modelling
Iske A., Arnold V.I. — Multiresolution methods in scattered data modelling

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Название: Multiresolution methods in scattered data modelling

Авторы: Iske A., Arnold V.I.

Аннотация:

This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies. The resulting multiresolution methods are thinning algorithms, multilevel approximation schemes, and meshfree discretizations for transport equations. The utility of the algorithmic approach taken in this research is supported by the wide range of applications, including image compression, hierarchical surface visualization, and multiscale flow simulation. Special emphasis is placed on comparisons between the various numerical algorithms developed in this work and comparable state-of-the-art methods.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 182

Добавлена в каталог: 18.07.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\mathbf{AT}_2$      105
$\mathbf{AT}_2^2$      106
Adaptive domain decomposition      133
Adaptive irregular sampling      6
Adaptive multilevel approximation      132
Adaptive thinning      90
AMA      136
AMMoC      152
Anticipated error      91
Anticipated error for image compression      104
Anticipated error for terrain modelling      92 98
Approximation order of polyharmonic splines      51 52
AT      91
AT2      99
AT3      100
ATI      92 136
Beppo Levi space      50
Buckley — Leverett equation      160
Burgers equation      156
Characteristic curve      145
Coarsening of a node      151
Completely monotone function      37
Conditionally positive definite function      36 37
Covering radius      70
Darcy's law      160
Data analysis      6 128
Data synthesis      6 128
Delaunay criterion      11
Delaunay triangulation      11 14
Eclipse      166
Error bound, pointwise      47
Error bound, uniform      47
Euler formula      8
Evolution, continuous      147
Evolution, discrete      147
Exchange algorithm      79
Exchangeable point pair      78
Fill distance      47
Five-spot problem      161
Flow simulation      152
Front tracking      166
FrontSim      166
Generalized Fourier transform      38
Generalized Fourier transform of radial basis functions      39
Greedy thinning      73
Heap      20
Heapsort      23
Hierarchical surface visualisation      136
Image compression      103
Implementation of a priority queue      24
Implementation of adaptive thinning      96
Implementation of exchange      82
Implementation of greedy thinning      76
Incompressibility relation      160
Interior cone condition      46
Inverse multiquadrics      33
Irregular sampling      6
K-center problem      71
Least squares approximation      61 107
Linear spline      9
Local covering radius      74
Local fill distance      46
Locally optimal point set      78
Locally optimal triangulation      16
Method of characteristics      150
Mobility      160
Multilevel algorithm      128 129 132
Multilevel method      5
Multiquadrics      33
Multiresolution method      3
Multiscale flow simulation      152
Native function space      40
Node coarsening      151
Node refinement      151
Non-adaptive thinning      70
Numerical stability      47
Numerical stability of polyharmonic splines      56
Octtree      29
Oil reservoir modelling      160
Optimal breakpoint      75
Optimal point sampling      59
Optimal recovery      40 50
Optimal triangulation      11 16
Passive advection      144
Polyharmonic splines      33 49
Positive definite function      33
Power function      44
PSNR      107
Quadtree      26
Quadtree, generalized      30
Quality index      71
Radial basis function      31
Radial basis function with compact support      34
Radial basis function with global support      33
Refinement of a node      151
Removable point      74 91
Saturation      160
Scattered data, coding      108
Scattered data, filtering      78
Scattered data, modelling      1
Schlumberger      166
SDF      136
Semi-Lagrangian advection      148
Separation distance      48
SPIHT      113
Splittable cell      133
streamline      145
Terrain modelling      100 136
Thin plate spline      50
Thinning algorithm      69
Thinning algorithm, adaptive      90
Thinning algorithm, greedy      73
Thinning algorithm, non-adaptive      70
Tracer advection      153
Triangulation      8
Triangulation, data-dependent      15
Triangulation, Delaunay      11 14
Triangulation, locally optimal      16
Triangulation, optimal      16
Two-phase flow      160
Uncertainty relation      48
Upstream point      146
Voronoi diagram      13
Voronoi neighbour      13
Voronoi point      13 152
Voronoi tile      13 152
Waterflooding      160
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