GITTA-Logo
PDF Version of this document Search Help Glossary

Lesson Navigation IconFundamental spatial concepts

Unit Navigation IconThe Scale

Unit Navigation IconGeoreferencing: Positioning and Projections

Unit Navigation IconSpatial Relations

Unit Navigation IconTopology, fundamental concept

Unit Navigation IconSpatial Distance and Properties of the Environment

LO Navigation IconDynamics of space

LO Navigation IconCharacteristics of space

LO Navigation IconInfluence of the dynamics of space on the spatial distance

Unit Navigation IconGlossary

Unit Navigation IconBibliography

Unit Navigation IconMetadata


GITTA/CartouCHe news:


Go to previous page Go to next page

Influence of the dynamics of space on the spatial distance

Modeling the distance depends directly on the metric space. In the Euclidean metrics, the distance between two points is the length of the straight line connecting them. The calculation is based on the coordinates of the two points, cf. illustration below.

If the path is constrained and the movement cannot follow a linear network and the different segments which the path is composed of have different energy costs (if the coefficient of friction varies from one spatial unit to another), the weighted distance is calculated as follows:

The principle of the calculation is the same as in the case in which the ambler is free to choose his path. The coefficient of friction becomes an attribute of each mesh.

Top Go to previous page Go to next page