C# Class HoloToolkit.Sharing.Utilities.MathUtils

Datei anzeigen Open project: OpenHID/InteractivePaint

Public Methods

Method	Description
Add ( Matrix4x4 a, Matrix4x4 b ) : Matrix4x4	Element-wise addition of two Matrix4x4s - extension method
ClosestPointOnLineSegmentToPoint ( Vector3 point, Vector3 lineStart, Vector3 lineEnd ) : Vector3
ClosestPointOnLineToPoint ( Vector3 point, Vector3 linePointA, Vector3 linePointB ) : Vector3
DistanceOfPointToLine ( Ray ray, Vector3 point ) : float	find unsigned distance of 3D point to an infinite line
DistanceOfPointToLine ( Vector3 point, Vector3 linePointA, Vector3 linePointB ) : float	Returns the distance between a point and an infinite line defined by two points; linePointA and linePointB
DistanceOfPointToLineSegment ( Vector3 point, Vector3 lineStart, Vector3 lineEnd ) : float
GetHorizontalFieldOfViewRadians ( ) : float	Get the horizontal FOV from the stereo camera
InRange ( Vector2 vec, Vector2 lower, Vector2 upper ) : bool	Tests component-wise if a Vector2 is in a given range
InRange ( Vector3 vec, Vector3 lower, Vector3 upper ) : bool	Tests component-wise if a Vector3 is in a given range
IsInFOV ( Vector3 position ) : bool	Returns if a point will be rendered on the screen in either eye
NearestPointToLines ( Ray p, Ray q ) : Vector3	Find 3D point that minimizes distance to 2 lines, midpoint of the shortest perpendicular line segment between them
NearestPointToLinesLeastSquares ( IEnumerable rays ) : Vector3	Find 3D point that minimizes distance to a set of 2 or more lines
NearestPointToLinesRANSAC ( List rays, int ransac_iterations, float ransac_threshold, int &numActualInliers ) : Vector3	Find 3D point that minimizes distance to a set of 2 or more lines, ignoring outliers
QuaternionFromMatrix ( Matrix4x4 m ) : Quaternion	Creates a quaternion containing the rotation from the input matrix.
Subtract ( Matrix4x4 a, Matrix4x4 b ) : Matrix4x4	Element-wise subtraction of two Matrix4x4s - extension method
TestPlanesAABB ( Plane planes, int planeMask, Bounds bounds, bool &entirelyInside ) : bool
ToTranslationRotation ( Matrix4x4 unityMtx, Vector3 &translation, Quaternion &rotation ) : void	Extract the translation and rotation components of a Unity matrix
TransformDirectionFromTo ( Transform from, Transform to, Vector3 dirInFrom ) : Vector3	Takes a direction in the coordinate space specified by the "from" transform and transforms it to be the correct direction in the coordinate space specified by the "to" transform applies rotation only, no translation or scale
TransformPointFromTo ( Transform from, Transform to, Vector3 ptInFrom ) : Vector3	Takes a point in the coordinate space specified by the "from" transform and transforms it to be the correct point in the coordinate space specified by the "to" transform applies rotation, scale and translation
TransformRayFromTo ( Transform from, Transform to, Ray rayToConvert ) : Ray	Takes a ray in the coordinate space specified by the "from" transform and transforms it to be the correct ray in the coordinate space specified by the "to" transform
TransformVectorFromTo ( Transform from, Transform to, Vector3 vecInFrom ) : Vector3	Takes a vectpr in the coordinate space specified by the "from" transform and transforms it to be the correct direction in the coordinate space specified by the "to" transform applies rotation and scale, no translation
XYProject ( Vector3 v ) : Vector3	Project vector onto XY plane
XZProject ( Vector3 v ) : Vector3	Project vector onto XZ plane
YZProject ( Vector3 v ) : Vector3	Project vector onto YZ plane

Method Details

Add() public static method

Element-wise addition of two Matrix4x4s - extension method

public static Add ( Matrix4x4 a, Matrix4x4 b ) : Matrix4x4
a	UnityEngine.Matrix4x4	matrix
b	UnityEngine.Matrix4x4	matrix
return	UnityEngine.Matrix4x4

ClosestPointOnLineSegmentToPoint() public static method

public static ClosestPointOnLineSegmentToPoint ( Vector3 point, Vector3 lineStart, Vector3 lineEnd ) : Vector3
point	UnityEngine.Vector3
lineStart	UnityEngine.Vector3
lineEnd	UnityEngine.Vector3
return	UnityEngine.Vector3

ClosestPointOnLineToPoint() public static method

public static ClosestPointOnLineToPoint ( Vector3 point, Vector3 linePointA, Vector3 linePointB ) : Vector3
point	UnityEngine.Vector3
linePointA	UnityEngine.Vector3
linePointB	UnityEngine.Vector3
return	UnityEngine.Vector3

DistanceOfPointToLine() public static method

find unsigned distance of 3D point to an infinite line

public static DistanceOfPointToLine ( Ray ray, Vector3 point ) : float
ray	UnityEngine.Ray	ray that specifies an infinite line
point	UnityEngine.Vector3	3D point
return	float

DistanceOfPointToLine() public static method

Returns the distance between a point and an infinite line defined by two points; linePointA and linePointB

public static DistanceOfPointToLine ( Vector3 point, Vector3 linePointA, Vector3 linePointB ) : float
point	UnityEngine.Vector3
linePointA	UnityEngine.Vector3
linePointB	UnityEngine.Vector3
return	float

DistanceOfPointToLineSegment() public static method

public static DistanceOfPointToLineSegment ( Vector3 point, Vector3 lineStart, Vector3 lineEnd ) : float
point	UnityEngine.Vector3
lineStart	UnityEngine.Vector3
lineEnd	UnityEngine.Vector3
return	float

GetHorizontalFieldOfViewRadians() public static method

Get the horizontal FOV from the stereo camera

public static GetHorizontalFieldOfViewRadians ( ) : float
return	float

InRange() public static method

Tests component-wise if a Vector2 is in a given range

public static InRange ( Vector2 vec, Vector2 lower, Vector2 upper ) : bool
vec	UnityEngine.Vector2	The vector to test
lower	UnityEngine.Vector2	The lower bounds
upper	UnityEngine.Vector2	The upper bounds
return	bool

InRange() public static method

Tests component-wise if a Vector3 is in a given range

public static InRange ( Vector3 vec, Vector3 lower, Vector3 upper ) : bool
vec	UnityEngine.Vector3	The vector to test
lower	UnityEngine.Vector3	The lower bounds
upper	UnityEngine.Vector3	The upper bounds
return	bool

IsInFOV() public static method

Returns if a point will be rendered on the screen in either eye

public static IsInFOV ( Vector3 position ) : bool
position	UnityEngine.Vector3
return	bool

NearestPointToLines() public static method

Find 3D point that minimizes distance to 2 lines, midpoint of the shortest perpendicular line segment between them

public static NearestPointToLines ( Ray p, Ray q ) : Vector3
p	UnityEngine.Ray	ray that specifies a line
q	UnityEngine.Ray	ray that specifies a line
return	UnityEngine.Vector3

NearestPointToLinesLeastSquares() public static method

Find 3D point that minimizes distance to a set of 2 or more lines

public static NearestPointToLinesLeastSquares ( IEnumerable rays ) : Vector3
rays	IEnumerable	each ray specifies an infinite line
return	UnityEngine.Vector3

NearestPointToLinesRANSAC() public static method

Find 3D point that minimizes distance to a set of 2 or more lines, ignoring outliers

public static NearestPointToLinesRANSAC ( List rays, int ransac_iterations, float ransac_threshold, int &numActualInliers ) : Vector3
rays	List	list of rays, each specifying a line, must have at least 1
ransac_iterations	int	number of iterations: log(1-p)/log(1-(1-E)^s) /// where p is probability of at least one sample containing s points is all inliers /// E is proportion of outliers (1-ransac_ratio) /// e.g. p=0.999, ransac_ratio=0.54, s=2 ==> log(0.001)/(log(1-0.54^2) = 20 ///
ransac_threshold	float	minimum distance from point to line for a line to be considered an inlier
numActualInliers	int	return number of inliers: lines that are within ransac_threshold of nearest point
return	UnityEngine.Vector3

QuaternionFromMatrix() public static method

Creates a quaternion containing the rotation from the input matrix.

public static QuaternionFromMatrix ( Matrix4x4 m ) : Quaternion
m	UnityEngine.Matrix4x4	Input matrix to convert to quaternion
return	UnityEngine.Quaternion

Subtract() public static method

Element-wise subtraction of two Matrix4x4s - extension method

public static Subtract ( Matrix4x4 a, Matrix4x4 b ) : Matrix4x4
a	UnityEngine.Matrix4x4	matrix
b	UnityEngine.Matrix4x4	matrix
return	UnityEngine.Matrix4x4

TestPlanesAABB() public static method

public static TestPlanesAABB ( Plane planes, int planeMask, Bounds bounds, bool &entirelyInside ) : bool
planes	UnityEngine.Plane
planeMask	int
bounds	UnityEngine.Bounds
entirelyInside	bool
return	bool

ToTranslationRotation() public static method

Extract the translation and rotation components of a Unity matrix

public static ToTranslationRotation ( Matrix4x4 unityMtx, Vector3 &translation, Quaternion &rotation ) : void
unityMtx	UnityEngine.Matrix4x4
translation	UnityEngine.Vector3
rotation	UnityEngine.Quaternion
return	void

TransformDirectionFromTo() public static method

Takes a direction in the coordinate space specified by the "from" transform and transforms it to be the correct direction in the coordinate space specified by the "to" transform applies rotation only, no translation or scale

public static TransformDirectionFromTo ( Transform from, Transform to, Vector3 dirInFrom ) : Vector3
from	UnityEngine.Transform
to	UnityEngine.Transform
dirInFrom	UnityEngine.Vector3
return	UnityEngine.Vector3

TransformPointFromTo() public static method

Takes a point in the coordinate space specified by the "from" transform and transforms it to be the correct point in the coordinate space specified by the "to" transform applies rotation, scale and translation

public static TransformPointFromTo ( Transform from, Transform to, Vector3 ptInFrom ) : Vector3
from	UnityEngine.Transform
to	UnityEngine.Transform
ptInFrom	UnityEngine.Vector3
return	UnityEngine.Vector3

TransformRayFromTo() public static method

Takes a ray in the coordinate space specified by the "from" transform and transforms it to be the correct ray in the coordinate space specified by the "to" transform

public static TransformRayFromTo ( Transform from, Transform to, Ray rayToConvert ) : Ray
from	UnityEngine.Transform
to	UnityEngine.Transform
rayToConvert	UnityEngine.Ray
return	UnityEngine.Ray

TransformVectorFromTo() public static method

Takes a vectpr in the coordinate space specified by the "from" transform and transforms it to be the correct direction in the coordinate space specified by the "to" transform applies rotation and scale, no translation

public static TransformVectorFromTo ( Transform from, Transform to, Vector3 vecInFrom ) : Vector3
from	UnityEngine.Transform
to	UnityEngine.Transform
vecInFrom	UnityEngine.Vector3
return	UnityEngine.Vector3

XYProject() public static method

Project vector onto XY plane

public static XYProject ( Vector3 v ) : Vector3
v	UnityEngine.Vector3
return	UnityEngine.Vector3

XZProject() public static method

Project vector onto XZ plane

public static XZProject ( Vector3 v ) : Vector3
v	UnityEngine.Vector3
return	UnityEngine.Vector3

YZProject() public static method

Project vector onto YZ plane

public static YZProject ( Vector3 v ) : Vector3
v	UnityEngine.Vector3
return	UnityEngine.Vector3