Class Parametrization2

Namespace: GeometryHelper.Core

Assembly: GeometryHelper.dll

Provides static methods for locating positions along a 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.

Each curve starts where its own geometry says it does: a line at its StartPoint, a polyline or polygon at its first vertex, a rectangle at its LowerLeft corner, and a circle at angle zero, that is the point directly right of its centre. All of them run in the direction their vertices are ordered, and a circle runs counter-clockwise.

Values outside the natural range follow the shape of the curve. A closed curve — a polygon, a rectangle, a circle — wraps around, so a parameter of 1.25 is the same position as 0.25. A polyline clamps, because it is an open chain with no natural extension. A line segment extrapolates along the infinite line that carries it, which is the behaviour GeoLine2.GetPointAtParameter has always had.

public static class Parametrization2

Inheritance: object

Parametrization2

Inherited Members: object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Methods

GetDistanceAtParameter(GeoCircle2, double): Gets the arc length from angle zero to a normalized parameter along a circle.

GetDistanceAtParameter(GeoLine2, double): Gets the arc length from the start of a line segment to a normalized parameter.

GetDistanceAtParameter(GeoPolygon2, double): Gets the arc length from the first vertex to a normalized parameter along a polygon.

GetDistanceAtParameter(GeoPolygonArc2, double): Gets the distance round a loop that may curve at a normalized parameter.

GetDistanceAtParameter(GeoPolyline2, double): Gets the arc length from the first vertex to a normalized parameter along a polyline.

GetDistanceAtParameter(GeoPolylineArc2, double): Gets the distance along a chain that may curve at a normalized parameter.

GetDistanceAtParameter(GeoRectangle2, double): Gets the arc length from the LowerLeft corner to a normalized parameter along a rectangle.

GetDistanceAtPoint(GeoCircle2, GeoPoint2): Gets the arc length from angle zero to the point on a circle closest to the supplied point.

GetDistanceAtPoint(GeoLine2, GeoPoint2): Gets the arc length from the start of a line segment to the point on it closest to the supplied point.

GetDistanceAtPoint(GeoPolygon2, GeoPoint2): Gets the arc length from the first vertex to the point on the boundary of a polygon closest to the supplied point.

GetDistanceAtPoint(GeoPolygonArc2, GeoPoint2): Gets how far round a loop that may curve the point nearest a point lies.

GetDistanceAtPoint(GeoPolygonArc2, GeoPoint2, Tolerance): Gets how far round a loop that may curve the point nearest a point lies, within a tolerance.

GetDistanceAtPoint(GeoPolyline2, GeoPoint2): Gets the arc length from the first vertex to the point on a polyline closest to the supplied point.

GetDistanceAtPoint(GeoPolylineArc2, GeoPoint2): Gets how far along a chain that may curve the point nearest a point lies.

GetDistanceAtPoint(GeoPolylineArc2, GeoPoint2, Tolerance): Gets how far along a chain that may curve the point nearest a point lies, within a tolerance.

GetDistanceAtPoint(GeoRectangle2, GeoPoint2): Gets the arc length from the LowerLeft corner to the point on the boundary of a rectangle closest to the supplied point.

GetParameterAtDistance(GeoCircle2, double): Gets the normalized parameter at an arc length measured along a circle. A circle of zero radius has no circumference to measure along, so the result is 0.

GetParameterAtDistance(GeoLine2, 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(GeoPolygon2, double): Gets the normalized parameter at an arc length measured along the perimeter of a polygon.

GetParameterAtDistance(GeoPolygonArc2, double): Gets the normalized parameter at a distance round a loop that may curve.

GetParameterAtDistance(GeoPolyline2, double): Gets the normalized parameter at an arc length measured along a polyline.

GetParameterAtDistance(GeoPolylineArc2, double): Gets the normalized parameter at a distance along a chain that may curve.

GetParameterAtDistance(GeoRectangle2, double): Gets the normalized parameter at an arc length measured along the perimeter of a rectangle. A rectangle with no perimeter gives 0.

GetParameterAtPoint(GeoCircle2, GeoPoint2): Gets the normalized parameter of the point on a circle closest to the supplied point. The point does not have to lie on the circumference; only its direction from the centre matters.

GetParameterAtPoint(GeoLine2, GeoPoint2): Projects a point onto the infinite line containing the segment and gets the parameter value t using default tolerance. t=0 corresponds to StartPoint, t=1 corresponds to EndPoint.

GetParameterAtPoint(GeoLine2, GeoPoint2, Tolerance): Projects a point onto the infinite line containing the segment and gets the parameter value t within tolerance. t=0 corresponds to StartPoint, t=1 corresponds to EndPoint.

GetParameterAtPoint(GeoPolygon2, GeoPoint2): Gets the normalized parameter of the point on the boundary of a polygon closest to the supplied point.

GetParameterAtPoint(GeoPolygonArc2, GeoPoint2): Gets the normalized parameter of the point of a loop that may curve nearest a point.

GetParameterAtPoint(GeoPolygonArc2, GeoPoint2, Tolerance): Gets the normalized parameter of the point of a loop that may curve nearest a point, within a tolerance.

GetParameterAtPoint(GeoPolyline2, GeoPoint2): Gets the normalized parameter of the point on a polyline closest to the supplied point.

GetParameterAtPoint(GeoPolylineArc2, GeoPoint2): Gets the normalized parameter of the point of a chain that may curve nearest a point.

GetParameterAtPoint(GeoPolylineArc2, GeoPoint2, Tolerance): Gets the normalized parameter of the point of a chain that may curve nearest a point, within a tolerance.

GetParameterAtPoint(GeoRectangle2, GeoPoint2): Gets the normalized parameter of the point on the boundary of a rectangle closest to the supplied point.

GetPointAtDistance(GeoCircle2, double): Gets the point at an arc length measured along a circle from angle zero.

GetPointAtDistance(GeoLine2, double): Gets the point at an arc length measured from the start of a line segment.

GetPointAtDistance(GeoPolygon2, double): Gets the point at an arc length measured along the perimeter of a polygon.

GetPointAtDistance(GeoPolygonArc2, double): Gets the point a distance round a loop that may curve.

GetPointAtDistance(GeoPolyline2, double): Gets the point at an arc length measured along a polyline, clamped to its endpoints.

GetPointAtDistance(GeoPolylineArc2, double): Gets the point a distance along a chain that may curve.

GetPointAtDistance(GeoRectangle2, double): Gets the point at an arc length measured along the perimeter of a rectangle.

GetPointAtParameter(GeoCircle2, double): Gets the point at a normalized parameter along a circle, starting at angle zero and running counter-clockwise. The parameter wraps, so 1.25 gives the same point as 0.25.

GetPointAtParameter(GeoLine2, 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(GeoPolygon2, double): Gets the point at a normalized parameter along the perimeter of a polygon, starting at its first vertex. The parameter wraps.

GetPointAtParameter(GeoPolygonArc2, double): Gets the point at a normalized parameter round a loop that may curve, where 0 is its start and 1 its end.

GetPointAtParameter(GeoPolyline2, double): Gets the point at a normalized parameter along a polyline, starting at its first vertex, clamped to its endpoints.

GetPointAtParameter(GeoPolylineArc2, double): Gets the point at a normalized parameter along a chain that may curve, where 0 is its start and 1 its end.

GetPointAtParameter(GeoRectangle2, double): Gets the point at a normalized parameter along the perimeter of a rectangle, starting at its LowerLeft corner and running counter-clockwise. The parameter wraps.

Table of Contents

Class Parametrization2

Methods