Class Parametrization3

Namespace: GeometryHelper.Core

Assembly: GeometryHelper.dll

Provides static methods for locating positions along a 3D curve, either by a normalized parameter or by an arc length measured from the start of the curve.

The parameter is normalized: 0 is the start of the curve and 1 is its end, whatever the curve actually measures. The distance is a true arc length from the start, running from 0 to the total length. The two are proportional, so distance = parameter * length.

Values outside the natural range follow the shape of the curve. A line segment extrapolates along the infinite line that carries it, and so does a ray, which likewise has a well defined carrier. A polyline clamps, because it is an open chain of segments with no single direction to extend along. A closed curve — a polygon, a circle — wraps, so a parameter of 1.25 is the same position as 0.25.

public static class Parametrization3

Inheritance: object

Parametrization3

Inherited Members: object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Methods

GetDistanceAtParameter(GeoCircle3, double): Gets the arc length from the zero parameter of a circle to a normalized parameter around it.

GetDistanceAtParameter(GeoLine3, double): Gets the arc length from the start of a line segment to a normalized parameter.

GetDistanceAtParameter(GeoPolygon3, double): Gets the arc length from the first vertex of a polygon to a normalized parameter around it.

GetDistanceAtParameter(GeoPolyline3, double): Gets the arc length from the start of a polyline to a normalized parameter, clamped to the chain.

GetDistanceAtPoint(GeoCircle3, GeoPoint3): Gets the arc length from the zero parameter of a circle to the point on its circumference closest to the supplied point.

GetDistanceAtPoint(GeoCircle3, GeoPoint3, Tolerance): Gets the arc length from the zero parameter of a circle to the point on its circumference closest to the supplied point, within a tolerance.

GetDistanceAtPoint(GeoLine3, GeoPoint3): Gets the arc length from the start of a line segment to the point on it closest to the supplied point.

GetDistanceAtPoint(GeoPolygon3, GeoPoint3): Gets the arc length from the first vertex of a polygon to the point on its boundary closest to the supplied point.

GetDistanceAtPoint(GeoPolygon3, GeoPoint3, Tolerance): Gets the arc length from the first vertex of a polygon to the point on its boundary closest to the supplied point, within a tolerance.

GetDistanceAtPoint(GeoPolyline3, GeoPoint3): Gets the arc length from the start of a polyline to the point on it closest to the supplied point.

GetDistanceAtPoint(GeoPolyline3, GeoPoint3, Tolerance): Gets the arc length from the start of a polyline to the point on it closest to the supplied point, within a tolerance.

GetDistanceAtPoint(GeoRay3, GeoPoint3): Gets the arc length from the origin of a ray to the point on its carrier line closest to the supplied point. The result is negative when that point falls behind the origin.

GetParameterAtDistance(GeoCircle3, double): Gets the normalized parameter at an arc length measured around the circumference of a circle.

GetParameterAtDistance(GeoLine3, double): Gets the normalized parameter at an arc length measured from the start of a line segment. A degenerate segment has no direction to measure along, so the result is 0.

GetParameterAtDistance(GeoPolygon3, double): Gets the normalized parameter at an arc length measured around the boundary of a polygon.

GetParameterAtDistance(GeoPolyline3, double): Gets the normalized parameter at an arc length measured from the start of a polyline, clamped to the chain.

GetParameterAtPoint(GeoCircle3, GeoPoint3): Gets the normalized parameter of the point on the circumference of a circle closest to the supplied point.

GetParameterAtPoint(GeoCircle3, GeoPoint3, Tolerance): Gets the normalized parameter of the point on the circumference of a circle closest to the supplied point, within a tolerance.

GetParameterAtPoint(GeoLine3, GeoPoint3): Projects a point onto the infinite line carrying a segment and gets the parameter there, using the default tolerance.

GetParameterAtPoint(GeoLine3, GeoPoint3, Tolerance): Projects a point onto the infinite line carrying a segment and gets the parameter there, within a tolerance.

GetParameterAtPoint(GeoPolygon3, GeoPoint3): Gets the normalized parameter of the point on the boundary of a polygon closest to the supplied point.

GetParameterAtPoint(GeoPolygon3, GeoPoint3, Tolerance): Gets the normalized parameter of the point on the boundary of a polygon closest to the supplied point, within a tolerance.

GetParameterAtPoint(GeoPolyline3, GeoPoint3): Gets the normalized parameter of the point on a polyline closest to the supplied point.

GetParameterAtPoint(GeoPolyline3, GeoPoint3, Tolerance): Gets the normalized parameter of the point on a polyline closest to the supplied point, within a tolerance.

GetPointAtDistance(GeoCircle3, double): Gets the point at an arc length measured around the circumference of a circle.

GetPointAtDistance(GeoLine3, double): Gets the point at an arc length measured from the start of a line segment.

GetPointAtDistance(GeoPolygon3, double): Gets the point at an arc length measured around the boundary of a polygon from its first vertex. The distance wraps, so going once round and a bit more lands just past the start again.

GetPointAtDistance(GeoPolyline3, double): Gets the point at an arc length measured from the start of a polyline, clamped to the chain.

GetPointAtDistance(GeoRay3, double): Gets the point at an arc length measured from the origin of a ray. A negative distance extrapolates behind the origin, off the ray itself.

GetPointAtParameter(GeoCircle3, double): Gets the point at a normalized parameter around the circumference of a circle. The parameter wraps, so 1.25 gives the same point as 0.25.

GetPointAtParameter(GeoLine3, double): Gets the point at a normalized parameter along a line segment. Values outside [0, 1] extrapolate along the infinite line carrying the segment.

GetPointAtParameter(GeoPolygon3, double): Gets the point at a normalized parameter around the boundary of a polygon, starting at its first vertex. The parameter wraps, so 1.25 gives the same point as 0.25.

GetPointAtParameter(GeoPolyline3, double): Gets the point at a normalized parameter along a polyline. Values outside [0, 1] clamp to the ends, because an open chain has no single direction to extend along.

Table of Contents

Class Parametrization3

Methods