What is a geometry?
Introduction
Vector data consists of geometries such as points, lines, polygons, circles, and so on. Examples of vector data are buildings, roads, railways, stations, and so on.
Geometry terminology
 Curve

A curve is a continuous, onedimensional shape. You can retrieve its points using a single parameter. A curve may consist itself of other curves, for example curve segments.
 Curve segment

1dimensional geometric object for representing a continuous component of a curve using homogeneous interpolation and definition methods. It is the simplest form of a curve.
 Point

0dimensional geometric primitive, representing a position.
 Ring

A ring is a closed curve, meaning that its start and end points are the same.
 Surface

A surface is a continuous, 2dimensional shape. Its exterior boundary, which separates it from infinite space, is defined by a single ring. A surface may contain zero or more holes, all of which are also defined using rings.
Geometry model
The following sections show the hierarchy for the geometry model. The diagrams are not exhaustive.
Basis for the geometry model
Every geometry is defined with respect to a coordinate reference.
Geometries can be categorized according to their dimensions.

Point: 0dimensional geometry

Curve: 1dimensional geometry

Surface: 2dimensional geometry

Solid: 3dimensional geometry (not included in the diagram)
Surfaces
Surface terminology:
 Patch

A patch is a surface based on a single ring, thus not having any holes.
 CompositePatch

A composite patch is a general surface that is based on an exterior patch and zero or more inner patches. The inner patches represent holes within the surface. The patch rings should not intersect.
The diagram shows the hierarchy for the surface geometries.
Common geometries
You have access to the following commonly used geometries. For each of the geometries, there is a link to the factory method to create the geometry.
 Point

A single point location. See
GeometryFactory::createPoint
.  Line

A line defined by exactly 2 points. See
GeometryFactory::createLine
.  Polyline

A line defined by multiple points.
Figure 1. Polyline  PolylineRing

A line defined by multiple points representing a ring; thus the start and the end point are always the same.
Figure 2. Polyline ring  Circle

All of its points are located on a circle with a center point and a radius.
Figure 3. CircleA circle can be defined in two ways:

By a center point and radius. See
GeometryFactory::createCircleByCenterPoint
. 
By three defining points. See
GeometryFactory::createCircle3Points
.

 Circular arc

All of its points are located on a circle with a center point and a radius. The arc starts at a start angle and ends at an end angle.
Figure 4. Circular arcA circular arc can be defined in three ways:

By a center point, radius, start angle, end angle and a circular orientation. See
GeometryFactory::createCircularArcByCenterPoint
. 
By a start point, end point and an intermediate point. See
GeometryFactory::createCircularArcBy3Points
. 
By a start point, end point and a bulge factor. See
GeometryFactory::createCircularArcByBulge
.

 Ellipse

All of its points are located on an ellipse defined by a center point, semimajor axis length, semiminor axis length and a rotation angle.
Figure 5. EllipseAn ellipse can be created using
GeometryFactory::createEllipse
.  Elliptical arc

All of its points are located on an ellipse with a center point, semimajor axis, semiminor axis and a rotation angle. The arc starts at a start angle and ends at an end angle.
Figure 6. Elliptical arc  Arc band

All of its points are located on the band with a minimum radius and a maximum radius from the focus point. The arc band starts at a start angle and ends at an end angle.
Figure 7. Arc bandSee link:../../../../reference/LuciadCPillar/luciad::GeometryFactory::createArcBand [
GeometryFactory::createArcBand
].  Bounds

A box with a location (Point), a width, a height, and a depth. Bounds is often used as a bounding box for more complex geometries.
Figure 8. Bounds  Patch

A patch is a surface with an exterior is based on a ring. It has no holes.
 CompositePatch

A composite patch is a surface based on an exterior patch and zero or more interior patches. The patch rings do not intersect.
 Polygon

A polygon is a surface which has an exterior and 0 or more interiors, which represent holes. The exterior and the interior boundaries are closed polyline geometries (polyline ring).
Figure 9. Polygon  Extruded geometry

An extruded geometry is a 3D shape created by extruding a 2D Curve or Surface with a minimum and maximum height. Currently, all Curve or Surface instances are supported bases for an extruded geometry, as well as any MultiGeometry that consists solely of such geometries. The image below shows an extruded ellipse.
Figure 10. Extruded geometry  Multi geometry

A multigeometry is a collection of one or more geometry objects.