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Exercises for Spatial Databases and GIS Sheet 1 (until 02.11.2012)

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Exercises for Spatial Databases and GIS

Institut für Informationssysteme – TU Braunschweig - http://www.ifis.cs.tu-bs.de

Technische Universität Braunschweig Institut für Informationssysteme http://www.ifis.cs.tu-bs.de Karl Neumann, Sarah Tauscher

Exercises for Spatial Databases and GIS Sheet 1 (until 02.11.2012)

Exercise 1 (9-intersection model)

A simple line is a line with exactly two endpoints and any connection between them, e.g.

straight line, arc, ogee, etc. A simple polygon is one polygon without any holes.

1. Draw any possible combination of two geometries (point, simple line, simple poly- gon) to exemplify the given 9-intersection matrices.

2. Write down the matrices for the topological relations between the drawn lines.

3. Draw all topological relations that are possible between a point and a simple line and write down their corresponding matrices.

4. Why are there more different topological relations between simple lines (33 altogether) than between polygons (only 8)?

Exercise 2 (Outline extraction)

Formulate the algorithm for the outline extraction of polygons described on slide 110 in pseudo code.

a) b)

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Exercises for Spatial Databases and GIS

Institut für Informationssysteme – TU Braunschweig - http://www.ifis.cs.tu-bs.de

Technische Universität Braunschweig Institut für Informationssysteme http://www.ifis.cs.tu-bs.de Karl Neumann, Sarah Tauscher

Exercise 3 (Centerline extraction)

1. Vectorize the dark blue part of the given line using topological thinning.

2. If holes and stubbles consisting of only a few pixels are most probably faults, what could be used as preprocessing step to eliminate them?

Insignificant pixel:

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