[图书][B] Space-filling curves: an introduction with applications in scientific computing
M Bader - 2012 - books.google.com
The present book provides an introduction to using space-filling curves (SFC) as tools in
scientific computing. Special focus is laid on the representation of SFC and on resulting …
scientific computing. Special focus is laid on the representation of SFC and on resulting …
[图书][B] Texts in Computational Science and Engineering
The aim of this book is to teach computer programming using examples from mathematics
and the natural sciences. We have chosen to use the Python programming language …
and the natural sciences. We have chosen to use the Python programming language …
How to construct space-filling curves
M Bader - Space-Filling Curves: An Introduction with Applications …, 2012 - Springer
In a mathematical sense, introducing a sequential order on ad-dimensional array of
elements (or cells) defines a corresponding mapping–from the range of array indices {1 …
elements (or cells) defines a corresponding mapping–from the range of array indices {1 …
Two motivating examples: sequential orders on quadtrees and multidimensional data structures
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
Abstract In Scientific Computing, space-filling curves are quite commonly used as tools to
improve certain properties of data structures or algorithms, or even to provide or simplify …
improve certain properties of data structures or algorithms, or even to provide or simplify …
Sierpinski curves
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
All space-filling curves discussed so far were based on a recursive substructuring into
squares. The Sierpinski curve, in contrast, may be geometrically constructed using a …
squares. The Sierpinski curve, in contrast, may be geometrically constructed using a …
Locality properties of space-filling curves
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
The overall properties of space-filling curves, together with the results for the examples
shown in Figs. 10.2 and 10.3, indicate that space-filling curves are a good heuristics for an …
shown in Figs. 10.2 and 10.3, indicate that space-filling curves are a good heuristics for an …
Refinement Trees and Space-Filling Curves
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
Abstract In Sect. 1.1, we introduced quadtrees and corresponding refinement trees, as
shown in Fig. 9.1, as efficient data structures for geometric modelling. We have even …
shown in Fig. 9.1, as efficient data structures for geometric modelling. We have even …
Grammar-Based Description of Space-Filling Curves
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
To construct the iterations of the Hilbert curve, we recursively subdivided squares into
subsquares, and sequentialised the respective subsquares by the recursive patterns given …
subsquares, and sequentialised the respective subsquares by the recursive patterns given …
Sierpinski Curves on Triangular and Tetrahedral Meshes
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
Triangular and tetrahedral grids are widely used in numerical simulation. Especially in the
“world” of Finite Element methods, triangles and tetrahedra are the most popular building …
“world” of Finite Element methods, triangles and tetrahedra are the most popular building …
Approximating Polygons
M Bader, M Bader - Space-Filling Curves: An Introduction with …, 2013 - Springer
Approximating Polygons | SpringerLink Skip to main content Advertisement SpringerLink
Account Menu Find a journal Publish with us Track your research Search Cart Book cover …
Account Menu Find a journal Publish with us Track your research Search Cart Book cover …