====== Intersection Functions ======

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

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==== Line-Line Intersect ====

**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
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==== Line Plane Intersect ====

**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)
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==== Project Point On Plane ====

**Project_Point_On_Plane**(plane, point).

Project a point onto a plane.
[[[https://en.wikipedia.org/wiki/Plane_%28geometry%29#Point-normal_form_and_general_form_of_the_equation_of_a_plane|The resulting plane is defined by 4 components]]]
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==== Point Distance To Plane ====

**Point_Distance_To_Plane**(plane, point).

Compute perpendicular distance from a point to a plane.
[[[https://en.wikipedia.org/wiki/Plane_%28geometry%29#Point-normal_form_and_general_form_of_the_equation_of_a_plane|The resulting plane is defined by 4 components]]]
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==== Point Distance To Line ====

**Point_Distance_To_Line**(point_on_vector, vector, point).

Compute perpendicular distance from a point to a line.
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==== Is Point Inside Polygon ====

**Is_Point_Inside_Polygon**(Point1, Vertex1, Vertex2, Vertex3, ...)

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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

[[Visual3D:Documentation:Pipeline:Metric_Commands:Metric_Explicit|Metric_Explicit]]
/RESULT_METRIC_FOLDER=VERTEX
/RESULT_METRIC_NAME=V1
/METRIC_VALUE=VECTOR(0,0,0)
**;**
[[Visual3D:Documentation:Pipeline:Metric_Commands:Metric_Explicit|Metric_Explicit]]
/RESULT_METRIC_FOLDER=VERTEX
/RESULT_METRIC_NAME=V2
/METRIC_VALUE=VECTOR(1,0,0)
**;**
[[Visual3D:Documentation:Pipeline:Metric_Commands:Metric_Explicit|Metric_Explicit]]
/RESULT_METRIC_FOLDER=VERTEX
/RESULT_METRIC_NAME=V3
/METRIC_VALUE=VECTOR(1,1,0)
**;**
[[Visual3D:Documentation:Pipeline:Metric_Commands:Metric_Explicit|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