Struct Transform3D

Represents a 3D transformation.

Inherited Members

ValueType.Equals(Object)

ValueType.GetHashCode()

ValueType.ToString()

Object.Equals(Object, Object)

Object.ReferenceEquals(Object, Object)

Object.GetType()

Namespace: TopSolid.Kernel.Automating

Assembly: cs.temp.dll.dll

Syntax

[AvailableSinceVersion(7, 6, 0, 0)]
public struct Transform3D

Remarks

The transformation is defined by a 4x4 matrix that operates as multiplier on column vectors containing homogeneous coordinates:

[ R00 R01 R02 Tx ]

[ R10 R11 R12 Ty ]

[ R20 R21 R22 Tz ]

[ Px Py Pz Si ]

That transforms (X, Y, Z, H) into (X', Y', Z', H') as follows:

X' = R00 * X + R01 * Y + R02 * Z + Tx * H

Y' = R10 * X + R11 * Y + R12 * Z + Ty * H

Z' = R20 * X + R21 * Y + R22 * Z + Tz * H

H' = Px * X + Py * Y + Pz * Z + Si * H

R is a non singular transformation matrix, that contains the rotation, reflection, non-uniform scaling and shearing components.

T is a translation vector.

P represents the perspective terms in viewing transformations. It must be zero in transformations used for modeling.

Si is the inverse of the global scale factor, it has to be greater than zero.

In the case of conventional coordinates, H is equal to one, and the coordinates of the transformed point are (X'/H', Y'/H', Z'/H').

For instance here is the transformation matrix corresponding to the rotation of angle "a" around the Z axis:

[ cos(a) -sin(a) 0 0 ]

[ sin(a) cos(a) 0 0 ]

[ 0 0 1 0 ]

[ 0 0 0 1 ]

This structure is available since v7.6.

Constructors

Transform3D(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)

Initializes a new instance of the Transform3D structure.

Declaration

public Transform3D(double inR00, double inR01, double inR02, double inTx, double inR10, double inR11, double inR12, double inTy, double inR20, double inR21, double inR22, double inTz, double inPx, double inPy, double inPz, double inSi)

Parameters

Type	Name	Description
Double	inR00
Double	inR01
Double	inR02
Double	inTx
Double	inR10
Double	inR11
Double	inR12
Double	inTy
Double	inR20
Double	inR21
Double	inR22
Double	inTz
Double	inPx
Double	inPy
Double	inPz
Double	inSi

Fields

Identity

Indentity transformation.

Declaration

public static readonly Transform3D Identity

Field Value

Type	Description
Transform3D

Px

Perspective factor along X.

Declaration

public double Px

Field Value

Type	Description
Double

Py

Perspective factor along Y.

Declaration

public double Py

Field Value

Type	Description
Double

Pz

Perspective factor along Z.

Declaration

public double Pz

Field Value

Type	Description
Double

R00

Rotation[0,0].

Declaration

public double R00

Field Value

Type	Description
Double

R01

Rotation[0,1].

Declaration

public double R01

Field Value

Type	Description
Double

R02

Rotation[0,2].

Declaration

public double R02

Field Value

Type	Description
Double

R10

Rotation[1,0].

Declaration

public double R10

Field Value

Type	Description
Double

R11

Rotation[1,1].

Declaration

public double R11

Field Value

Type	Description
Double

R12

Rotation[1,2].

Declaration

public double R12

Field Value

Type	Description
Double

R20

Rotation[2,0].

Declaration

public double R20

Field Value

Type	Description
Double

R21

Rotation[2,1].

Declaration

public double R21

Field Value

Type	Description
Double

R22

Rotation[2,2].

Declaration

public double R22

Field Value

Type	Description
Double

Si

Inverse of the global scale factor.

Declaration

public double Si

Field Value

Type	Description
Double

Tx

Translation along X.

Declaration

public double Tx

Field Value

Type	Description
Double

Ty

Translation along Y.

Declaration

public double Ty

Field Value

Type	Description
Double

Tz

Translation along Z.

Declaration

public double Tz

Field Value

Type	Description
Double

Methods

SetRotation(Axis3D, Double)

Sets the transformation as the rotation about a specified axis with a specified angle.

Declaration

public void SetRotation(Axis3D inAxis, double inAngle)

Parameters

Type	Name	Description
Axis3D	inAxis	Rotation axis.
Double	inAngle	Rotation angle, in radians.

SetTranslation(Vector3D)

Sets the transformation as the translation along a specified vector.

Declaration

public void SetTranslation(Vector3D inVector)

Parameters

Type	Name	Description
Vector3D	inVector	Translation vector.