This page contains a list of all functions that find point, line, and plane intersections.

Line_Line_Intersect(line1, line2, line3, line4, tolerance)

vector1 is defined by vertices line1 and line2 vector2 is defined by vertices line3 and line4 two vectors in 3D space rarely intersect precisely. tolerance is the maximum distance at the closest point of the two vectors that will be labeled an intersection the default value of the tolerance=0.01

Line_Plane_Intersect(line1, line2, plane1, plane2, plane3)

Line1 and line 2 define the vector Plane1, Plane2, and Plane3 define the plane Line_Plane_Intersect(line1, line2, plane) Line1 and line 2 define the vector Plane defines the plane (for example, a best_fit_plane)

Project_Point_On_Plane(plane, point).

Project a point onto a plane. The resulting plane is defined by 4 components]

Point_Distance_To_Plane(plane, point).

Compute perpendicular distance from a point to a plane. The resulting plane is defined by 4 components]

Point_Distance_To_Line(point_on_vector, vector, point).

Compute perpendicular distance from a point to a line.

Is_Point_Inside_Polygon(Point1, Vertex1, Vertex2, Vertex3, …)

Is a Point inside a planar polygon comprised of any number of vertices?

Example: Create a polygon comprising 4 vertices, check to see if a point is inside the Polygon

Metric_Explicit /RESULT_METRIC_FOLDER=VERTEX /RESULT_METRIC_NAME=V1 /METRIC_VALUE=VECTOR(0,0,0) ; Metric_Explicit /RESULT_METRIC_FOLDER=VERTEX /RESULT_METRIC_NAME=V2 /METRIC_VALUE=VECTOR(1,0,0) ; Metric_Explicit /RESULT_METRIC_FOLDER=VERTEX /RESULT_METRIC_NAME=V3 /METRIC_VALUE=VECTOR(1,1,0) ; Metric_Explicit /RESULT_METRIC_FOLDER=VERTEX /RESULT_METRIC_NAME=V4 /METRIC_VALUE=VECTOR(0,1,0) ; Evaluate_Expression /EXPRESSION=Is_Point_Inside_Polygon( VECTOR(0.5,0.5,0), METRIC::VERTEX::V1, METRIC::VERTEX::V2, METRIC::VERTEX::V3, METRIC::VERTEX::V4 ) /SIGNAL_TYPES= /SIGNAL_FOLDER= /SIGNAL_NAMES= /RESULT_TYPES=METRIC /RESULT_FOLDERS=POLYGON /RESULT_NAME=TEST_IN ! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE ; Expression Result : 1.000000 Evaluate_Expression /EXPRESSION=Is_Point_Inside_Polygon( VECTOR(0.5,0.5,0.5), METRIC::VERTEX::V1, METRIC::VERTEX::V2, METRIC::VERTEX::V3, METRIC::VERTEX::V4 ) /SIGNAL_TYPES= /SIGNAL_FOLDER= /SIGNAL_NAMES= /RESULT_TYPES=METRIC /RESULT_FOLDERS=POLYGON /RESULT_NAME=TEST_IN ! /APPLY_AS_SUFFIX_TO_SIGNAL_NAME=FALSE ; Expression Result : 0.000000