Transform3 Structure

3-dimensional transformation represented by a 4x4 matrix.

Namespace: Karamba.Geometry
Assembly: KarambaCommon (in KarambaCommon.dll) Version: 2.2.0.4 (2.2.0.4)

Syntax

[SerializableAttribute]
public struct Transform3 : IComparable<Transform3>, 
	IEquatable<Transform3>

<SerializableAttribute>
Public Structure Transform3
	Implements IComparable(Of Transform3), IEquatable(Of Transform3)

[SerializableAttribute]
public value class Transform3 : IComparable<Transform3>, 
	IEquatable<Transform3>

[<SealedAttribute>]
[<SerializableAttribute>]
type Transform3 =  
    struct
        interface IComparable<Transform3>
        interface IEquatable<Transform3>
    end

The Transform3 type exposes the following members.

Constructors

	Name	Description
	Transform3	Initializes a new instance of the Transform3 struct. Create transformation from row-major order matrix array.

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Properties

	Name	Description
	Determinant	Gets the determinant of this 4x4 matrix.
	Identity	Gets a new identity transform matrix. An identity matrix defines no transformation.
	Item	Gets or sets the matrix value at the given row and column indixes.
	M00	Gets or sets this[0,0].
	M01	Gets or sets this[0,1].
	M02	Gets or sets this[0,2].
	M03	Gets or sets this[0,3].
	M10	Gets or sets this[1,0].
	M11	Gets or sets this[1,1].
	M12	Gets or sets this[1,2].
	M13	Gets or sets this[1,3].
	M20	Gets or sets this[2,0].
	M21	Gets or sets this[2,1].
	M22	Gets or sets this[2,2].
	M23	Gets or sets this[2,3].
	M30	Gets or sets this[3,0].
	M31	Gets or sets this[3,1].
	M32	Gets or sets this[3,2].
	M33	Gets or sets this[3,3].

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Methods

	Name	Description
	ChangeBasis(Plane3, Plane3)	Computes a change of basis transformation. A basis change is essentially a remapping of geometry from one coordinate system to another.
	ChangeBasis(Vector3, Vector3, Vector3, Vector3, Vector3, Vector3)	Computes a change of basis transformation. A basis change is essentially a remapping of geometry from one coordinate system to another.
	CompareTo	Compares this transform with another transform. M33 has highest value, then M32, etc..
	Equals(Object)	Determines if another object is a transform and its value equals this transform value. (Overrides ValueTypeEquals(Object).)
	Equals(Transform3)	Determines if another transform equals this transform value.
	GetHashCode	Gets a non-unique hashing code for this transform. (Overrides ValueTypeGetHashCode.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Mirror(Plane3)	Constructs a new Mirror transformation.
	Mirror(Point3, Vector3)	Create mirror transformation matrix The mirror transform maps a point Q to Q - (2(Q-P)oN)N, where P = pointOnMirrorPlane and N = normalToMirrorPlane.
	Multiply	Multiplies (combines) two transformations. This is the same as the * operator between two transformations.
	MultiplyPoint	transform a point.
	MultiplyVector	apply a transformation to a vector.
	PlanarProjection	Constructs a projection transformation.
	PlaneToPlane	Change basis of transformation.
	Rotation(Double, Point3)	Constructs a new rotation transformation with specified angle and rotation center.
	Rotation(Double, Vector3, Point3)	Constructs a new rotation transformation with specified angle, rotation center and rotation axis.
	Rotation(Vector3, Vector3, Point3)	Constructs a new rotation transformation with start and end directions and rotation center.
	Rotation(Double, Double, Vector3, Point3)	Constructs a new rotation transformation with specified angle, rotation center and rotation axis.
	Rotation(Vector3, Vector3, Vector3, Vector3, Vector3, Vector3)	Constructs a transformation that maps X0 to X1, Y0 to Y1, Z0 to Z1.
	Scale	Constructs a new non-uniform scaling transformation with a specified scaling anchor point.
	Shear	Constructs a Shear transformation.
	ToFloatArray	Returns the matrix as a linear array of 16 float values.
	ToString	Returns a string representation of this transform. (Overrides ValueTypeToString.)
	TransformPoints	Given a list, an array or any enumerable set of points, computes a new array of tranformed points.
	Translation(Vector3)	Constructs a new translation (move) transformation.
	Translation(Double, Double, Double)	Constructs a new translation (move) transformation. Right column is (dx, dy, dz, 1.0).
	Transpose	Flips row/column values.
	TryGetInverse	Attempts to get the inverse transform of this transform.

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Operators

	Name	Description
	Equality	Determines if two transformations are equal in value.
	Inequality	Determines if two transformations are different in value.
	Multiply	Multiplies (combines) two transformations.

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Reference

Karamba.Geometry Namespace