Geodesy and Geometry: Geometry

LuciadLightspeed Essential allows you to perform geometric calculations on shapes.

The more complex LuciadLightspeed Geometry functionality comes with the Advanced GIS Engine component. It provides support for the calculation of binary topological relations, intersection points, the convex hull, and constructive boolean operations of shapes in 2D spaces. This functionality is useful for various applications, for example:

• With binary topological relations, it is possible to check which sectors a flight plan is crossing, to detect whether a trajectory goes through a radar coverage, to find neighboring parcels, or find the roads crossed by a railroad.
• The calculation of intersection points allows you to find the points where different roads cross, or the location where a trajectory crosses the border of a country.
• The convex hull calculation allows you to get the smallest possible convex polygon in which a shape resides.
• The constructive boolean operations allow you to get the union or intersection of two airspaces, or to subtract one shape from another shape.

The Advanced GIS Engine component supports the standard LuciadLightspeed shapes. These shapes can originate from any source.

The Advanced GIS Engine component has implementations for a number of 2D spaces: Cartesian, spherical, and ellipsoidal. The mathematical calculations of each implementation are specialized to work in these spaces. For example, the spherical and ellipsoidal implementations work with geodesic lines.

Basics

How-to guides

• How to calculate the area of a complex polygon?
• Creating a custom topology relation

Frequently asked questions

• Where can I find the LuciadLightspeed methods to do geometry calculations?
• Where do I find the available geometry operations

Main packages

• com.luciad.geodesy
• com.luciad.geometry

Reference guides

• The Dimensionally Extended Nine Intersection Matrix (DE-9IM) model