SLIDE 1
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 2/9
On Generating Polygons: Computational Geometry and Applications Lab - - PowerPoint PPT Presentation
On Generating Polygons: Computational Geometry and Applications Lab - - PowerPoint PPT Presentation
UNIVERSITY OF SALZBURG On Generating Polygons: Computational Geometry and Applications Lab Introducing the Salzburg Database Gnther Eder, Martin Held, Steinr Jasonarson, Philipp Mayer, and Peter Palfrader Wrzburg, March 2020 What is
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SLIDE 3
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 2/9
What is the Salzburg Database?
Keystones
r A repository of polygonal areas r Can be used freely r Database: https://sbgdb.cs.sbg.ac.at/ r Generators: https://github.com/cgalab r Currently contains 11 507 instances
SLIDE 4
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 2/9
What is the Salzburg Database?
Keystones
r A repository of polygonal areas r Can be used freely r Database: https://sbgdb.cs.sbg.ac.at/ r Generators: https://github.com/cgalab r Currently contains 11 507 instances
SLIDE 5
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 2/9
What is the Salzburg Database?
Keystones
r A repository of polygonal areas r Can be used freely r Database: https://sbgdb.cs.sbg.ac.at/ r Generators: https://github.com/cgalab r Currently contains 11 507 instances
SLIDE 6
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 2/9
What is the Salzburg Database?
Keystones
r A repository of polygonal areas r Can be used freely r Database: https://sbgdb.cs.sbg.ac.at/ r Generators: https://github.com/cgalab r Currently contains 11 507 instances
SLIDE 7
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 3/9
How to use it?
Browser Per instance via https://sbgdb.cs.sbg.ac.at/db/
SLIDE 8
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 4/9
How to use it?
Browser Per instance via https://sbgdb.cs.sbg.ac.at/db/ Whole Repository git clone https :// sbgdb.cs.sbg.ac.at/db/. git git annex get
SLIDE 9
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 4/9
How to use it?
Browser Per instance via https://sbgdb.cs.sbg.ac.at/db/ Whole Repository git clone https :// sbgdb.cs.sbg.ac.at/db/. git git annex get
SLIDE 10
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
SLIDE 11
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
SLIDE 12
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
SLIDE 13
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
SLIDE 14
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
GraphML to the rescue!
SLIDE 15
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
Properties
r XML – format r Supports graphs in general r Directed-, undirected-, mixed-, and hyper-graphs r Supports edge-weights
SLIDE 16
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
Properties
r XML – format r Supports graphs in general r Directed-, undirected-, mixed-, and hyper-graphs r Supports edge-weights
SLIDE 17
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
Properties
r XML – format r Supports graphs in general r Directed-, undirected-, mixed-, and hyper-graphs r Supports edge-weights
SLIDE 18
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 5/9
What’s the Format?
Requirements
r Can be parsed and stored easily r Supports the basic geometric types r Can be extended to support various properties r A human should be able to read it?
Properties
r XML – format r Supports graphs in general r Directed-, undirected-, mixed-, and hyper-graphs r Supports edge-weights
SLIDE 19
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 20
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 21
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 22
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 23
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 24
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 25
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 6/9
Converter
Format-Converter
r https://github.com/cgalab/format-converter r MIT license r Written in Python r Reading and writing .graphml, .ipe, .obj-files r Reading .line, .poly .site-files r Additional options for edge-weights r Adding additional formats is simple.
SLIDE 26
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 27
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 28
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 29
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 30
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
v
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 31
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
v′
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 32
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
v
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 33
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 34
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 35
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 36
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 37
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 38
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 39
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 40
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 41
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 42
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 43
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 44
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 45
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 46
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 47
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 48
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 49
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 50
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 51
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 7/9
Generators
r Rpg — Various heuristics r Srpg — On the integer grid r Koch, Sierpinski,
Hilbert, and Lebesgue
r Fpg — Triangulation Perturbation r Spg — Sweep-line & 2-Opt
SLIDE 52
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 53
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 54
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
fpg with holes
SLIDE 55
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 56
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 57
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
2-opt
SLIDE 58
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
2-opt
SLIDE 59
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 60
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 61
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 62
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 63
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 64
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 65
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 66
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 67
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 68
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 69
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 70
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 8/9
Instance Classes
SLIDE 71
Computational Geometry and Applications Lab
UNIVERSITY OF SALZBURG
On Generating Polygons – Günther Eder 9/9