Matrix Matrix Matrix Matrix Class

Definition

Encapsulates a 3-by-3 affine matrix that represents a geometric transform. This class cannot be inherited.

public ref class Matrix sealed : MarshalByRefObject, IDisposable
public sealed class Matrix : MarshalByRefObject, IDisposable
type Matrix = class
    inherit MarshalByRefObject
    interface IDisposable
Public NotInheritable Class Matrix
Inherits MarshalByRefObject
Implements IDisposable
Inheritance
Implements

Remarks

In GDI+ you can store an affine transformation in a Matrix object. Because the third column of a matrix that represents an affine transformation is always (0, 0, 1), you specify only the six numbers in the first two columns when you construct a Matrix object. The statement Matrix myMatrix = new Matrix(0, 1, -1, 0, 3, 4) constructs the matrix shown in the following figure.

Transformations

Composite Transformations

A composite transformation is a sequence of transformations, one followed by the other. Consider the matrices and transformations in the following list:

Matrix A Rotate 90 degrees
Matrix B Scale by a factor of 2 in the x direction
Matrix C Translate 3 units in the y direction

If we start with the point (2, 1) - represented by the matrix [2 1 1] - and multiply by A, then B, then C, the point (2, 1) will undergo the three transformations in the order listed.

[2 1 1]ABC = [-2 5 1]

Rather than store the three parts of the composite transformation in three separate matrices, you can multiply A, B, and C together to get a single 3×3 matrix that stores the entire composite transformation. Suppose ABC = D. Then a point multiplied by D gives the same result as a point multiplied by A, then B, then C.

[2 1 1]D = [-2 5 1]

The following illustration shows the matrices A, B, C, and D.

Transformations

The fact that the matrix of a composite transformation can be formed by multiplying the individual transformation matrices means that any sequence of affine transformations can be stored in a single Matrix object.

Caution

The order of a composite transformation is important. In general, rotate, then scale, then translate is not the same as scale, then rotate, then translate. Similarly, the order of matrix multiplication is important. In general, ABC is not the same as BAC.

The Matrix class provides several methods for building a composite transformation: Multiply, Rotate, RotateAt, Scale, Shear, and Translate. The following example creates the matrix of a composite transformation that first rotates 30 degrees, then scales by a factor of 2 in the y direction, and then translates 5 units in the x direction:

Matrix myMatrix = new Matrix();
myMatrix.Rotate(30);
myMatrix.Scale(1, 2, MatrixOrder.Append);
myMatrix.Translate(5, 0, MatrixOrder.Append);
Dim myMatrix As New Matrix()
myMatrix.Rotate(30)
myMatrix.Scale(1, 2, MatrixOrder.Append)
myMatrix.Translate(5, 0, MatrixOrder.Append)

Constructors

Matrix() Matrix() Matrix() Matrix()

Initializes a new instance of the Matrix class as the identity matrix.

Matrix(Rectangle, Point[]) Matrix(Rectangle, Point[]) Matrix(Rectangle, Point[]) Matrix(Rectangle, Point[])

Initializes a new instance of the Matrix class to the geometric transform defined by the specified rectangle and array of points.

Matrix(RectangleF, PointF[]) Matrix(RectangleF, PointF[]) Matrix(RectangleF, PointF[]) Matrix(RectangleF, PointF[])

Initializes a new instance of the Matrix class to the geometric transform defined by the specified rectangle and array of points.

Matrix(Single, Single, Single, Single, Single, Single) Matrix(Single, Single, Single, Single, Single, Single) Matrix(Single, Single, Single, Single, Single, Single) Matrix(Single, Single, Single, Single, Single, Single)

Initializes a new instance of the Matrix class with the specified elements.

Properties

Elements Elements Elements Elements

Gets an array of floating-point values that represents the elements of this Matrix.

IsIdentity IsIdentity IsIdentity IsIdentity

Gets a value indicating whether this Matrix is the identity matrix.

IsInvertible IsInvertible IsInvertible IsInvertible

Gets a value indicating whether this Matrix is invertible.

OffsetX OffsetX OffsetX OffsetX

Gets the x translation value (the dx value, or the element in the third row and first column) of this Matrix.

OffsetY OffsetY OffsetY OffsetY

Gets the y translation value (the dy value, or the element in the third row and second column) of this Matrix.

Methods

Clone() Clone() Clone() Clone()

Creates an exact copy of this Matrix.

CreateObjRef(Type) CreateObjRef(Type) CreateObjRef(Type) CreateObjRef(Type)

Creates an object that contains all the relevant information required to generate a proxy used to communicate with a remote object.

(Inherited from MarshalByRefObject)
Dispose() Dispose() Dispose() Dispose()

Releases all resources used by this Matrix.

Equals(Object) Equals(Object) Equals(Object) Equals(Object)

Tests whether the specified object is a Matrix and is identical to this Matrix.

Finalize() Finalize() Finalize() Finalize()

Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.

GetHashCode() GetHashCode() GetHashCode() GetHashCode()

Returns a hash code.

GetLifetimeService() GetLifetimeService() GetLifetimeService() GetLifetimeService()

Retrieves the current lifetime service object that controls the lifetime policy for this instance.

(Inherited from MarshalByRefObject)
GetType() GetType() GetType() GetType()

Gets the Type of the current instance.

(Inherited from Object)
InitializeLifetimeService() InitializeLifetimeService() InitializeLifetimeService() InitializeLifetimeService()

Obtains a lifetime service object to control the lifetime policy for this instance.

(Inherited from MarshalByRefObject)
Invert() Invert() Invert() Invert()

Inverts this Matrix, if it is invertible.

MemberwiseClone() MemberwiseClone() MemberwiseClone() MemberwiseClone()

Creates a shallow copy of the current Object.

(Inherited from Object)
MemberwiseClone(Boolean) MemberwiseClone(Boolean) MemberwiseClone(Boolean) MemberwiseClone(Boolean)

Creates a shallow copy of the current MarshalByRefObject object.

(Inherited from MarshalByRefObject)
Multiply(Matrix) Multiply(Matrix) Multiply(Matrix) Multiply(Matrix)

Multiplies this Matrix by the matrix specified in the matrix parameter, by prepending the specified Matrix.

Multiply(Matrix, MatrixOrder) Multiply(Matrix, MatrixOrder) Multiply(Matrix, MatrixOrder) Multiply(Matrix, MatrixOrder)

Multiplies this Matrix by the matrix specified in the matrix parameter, and in the order specified in the order parameter.

Reset() Reset() Reset() Reset()

Resets this Matrix to have the elements of the identity matrix.

Rotate(Single) Rotate(Single) Rotate(Single) Rotate(Single)

Prepend to this Matrix a clockwise rotation, around the origin and by the specified angle.

Rotate(Single, MatrixOrder) Rotate(Single, MatrixOrder) Rotate(Single, MatrixOrder) Rotate(Single, MatrixOrder)

Applies a clockwise rotation of an amount specified in the angle parameter, around the origin (zero x and y coordinates) for this Matrix.

RotateAt(Single, PointF) RotateAt(Single, PointF) RotateAt(Single, PointF) RotateAt(Single, PointF)

Applies a clockwise rotation to this Matrix around the point specified in the point parameter, and by prepending the rotation.

RotateAt(Single, PointF, MatrixOrder) RotateAt(Single, PointF, MatrixOrder) RotateAt(Single, PointF, MatrixOrder) RotateAt(Single, PointF, MatrixOrder)

Applies a clockwise rotation about the specified point to this Matrix in the specified order.

Scale(Single, Single) Scale(Single, Single) Scale(Single, Single) Scale(Single, Single)

Applies the specified scale vector to this Matrix by prepending the scale vector.

Scale(Single, Single, MatrixOrder) Scale(Single, Single, MatrixOrder) Scale(Single, Single, MatrixOrder) Scale(Single, Single, MatrixOrder)

Applies the specified scale vector (scaleX and scaleY) to this Matrix using the specified order.

Shear(Single, Single) Shear(Single, Single) Shear(Single, Single) Shear(Single, Single)

Applies the specified shear vector to this Matrix by prepending the shear transformation.

Shear(Single, Single, MatrixOrder) Shear(Single, Single, MatrixOrder) Shear(Single, Single, MatrixOrder) Shear(Single, Single, MatrixOrder)

Applies the specified shear vector to this Matrix in the specified order.

ToString() ToString() ToString() ToString()

Returns a string that represents the current object.

(Inherited from Object)
TransformPoints(PointF[]) TransformPoints(PointF[]) TransformPoints(PointF[]) TransformPoints(PointF[])

Applies the geometric transform represented by this Matrix to a specified array of points.

TransformPoints(Point[]) TransformPoints(Point[]) TransformPoints(Point[]) TransformPoints(Point[])

Applies the geometric transform represented by this Matrix to a specified array of points.

TransformVectors(PointF[]) TransformVectors(PointF[]) TransformVectors(PointF[]) TransformVectors(PointF[])

Multiplies each vector in an array by the matrix. The translation elements of this matrix (third row) are ignored.

TransformVectors(Point[]) TransformVectors(Point[]) TransformVectors(Point[]) TransformVectors(Point[])

Applies only the scale and rotate components of this Matrix to the specified array of points.

Translate(Single, Single) Translate(Single, Single) Translate(Single, Single) Translate(Single, Single)

Applies the specified translation vector (offsetX and offsetY) to this Matrix by prepending the translation vector.

Translate(Single, Single, MatrixOrder) Translate(Single, Single, MatrixOrder) Translate(Single, Single, MatrixOrder) Translate(Single, Single, MatrixOrder)

Applies the specified translation vector to this Matrix in the specified order.

VectorTransformPoints(Point[]) VectorTransformPoints(Point[]) VectorTransformPoints(Point[]) VectorTransformPoints(Point[])

Multiplies each vector in an array by the matrix. The translation elements of this matrix (third row) are ignored.

Applies to

See also