All Frameworks Class Hierarchy This Framework Indexes
VisualizationBase Class CAT4x4Matrix
Usage: you must use this class as is. You should never derive it.
public class CAT4x4Matrix
Class to create a 3D matrix.
Role: This object manages matrix transformations appliables to 3D
elements, in the homogeneous coordinate system, enabling so translations
and rotations to be viewed as matrix operations.
The CAT4x4Matrix is commonly used to define the transformation that is to
be applied to CAT3DBagRep objects.
Constructor and Destructor Index
- o
CAT4x4Matrix(CATMathVectorf&,CATMathVectorf&,CATMathPointf&)
- Constructs a 3D matrix from a translation vector, a rotation and angle vector and an invariant point.
- o
CAT4x4Matrix(void)
- Constructs an identity 3D matrix.
- o
CAT4x4Matrix(CATMathVectorf&,CATMathVectorf&,CATMathVectorf&,CATMathVectorf&)
- Constructs a 3D matrix from 4 vectors.
- o
~CAT4x4Matrix(void)
- Destructor.
- o
CAT4x4Matrix(CATMathAxis&)
- Constructs a 3D matrix from axis.
- o
CAT4x4Matrix(CAT4x4Matrix&)
- Constructs an 3D matrix from an other 3D matrix.
- o
CAT4x4Matrix(CATMathVectorf&)
- Constructs a 3D translation matrix from a translation vector.
- o
CAT4x4Matrix(float**,CATMathVectorf&)
- Constructs a 3D matrix from a float array and a translation vector.
- o
CAT4x4Matrix(CATMathVectorf&,CATMathPointf&)
- Constructs a 3D matrix from a rotation and angle vector and an invariant point.
Method Index
- o
ComputeInverseTransposeThirdColumnNormalized(float*)
- Computes an Inversed, Transposed with the third column normalized 3D matrix.
- o
GetComponents(CATMathVectorf&,CATMathVectorf&,CATMathVectorf&,CATMathPointf&)
- Gets the 3D matrix components.
- o
GetComponents(CATMathDirectionf&,CATMathDirectionf&,CATMathDirectionf&,CATMathPointf&)
- Gets the 3D matrix components.
- o
GetDeterminant(void)
- Gets the determinant of the 3D matrix.
- o
GetInvertedMatrix(CAT4x4Matrix&)
- Gets the inverted 3D matrix.
- o
GetMatrix(void)
- Gets the 3D matrix components.
- o
GetScaling(void)
- Gets the scaling factor of the 3D matrix.
- o
GetTranslation(CATMathVectorf&)
- Gets the 3D matrix translation vector.
- o
IsIdentity(void)
- Indicates if the 3D matrix is an identity matrix.
- o
SetComponents(CATMathVectorf&,CATMathVectorf&,CATMathVectorf&,CATMathPointf&)
- Sets the 3D matrix components.
- o
SetComponents(CATMathDirectionf&,CATMathDirectionf&,CATMathDirectionf&,CATMathPointf&)
- Sets the 3D matrix components.
- o
SetElement(int,int,float)
- Sets one element of the 3D matrix.
- o
SetTranslation(CATMathVectorf&,float)
- Sets the 3D matrix translation from a vector.
- o
multiply(CATMathPointf&)
- Multiplies the 3D matrix by a point.
- o
multiply(CATMathVectorf&)
- Multiplies the 3D matrix by a vector.
- o
multiply(CATMathDirectionf&)
- Multiplies the 3D matrix by a direction.
- o
multiply(CAT4x4Matrix&,CAT4x4Matrix&)
- Multiplies a 3D matrix by another 3D matrix.
- o
operator *(CAT4x4Matrix&)
- Multiplication operator.
- o
operator =(CAT4x4Matrix&)
- Assignment operator.
- o
operator *=(CAT4x4Matrix&)
- Multiplication assignment operator.
- o
operator *(CATMathPointf&)
- Multiplies a matrix by a space point.
- o
operator *(CATMathVectorf&)
- Multiplies a matrix by a space vector.
- o
operator *(CATMathDirectionf&)
- Multiplies a matrix by a space direction.
Constructor and Destructor
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iTra, |
| const | iRot, |
| const | iInv) |
-
Constructs a 3D matrix from a translation vector, a rotation and angle vector and an invariant point.
- Parameters:
-
- iTra
- The translation vector.
- iRot
- The rotation and angle vector.
- iInv
- the invariant point.
o CAT4x4Matrix
-
Constructs an identity 3D matrix.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iU, |
| const | iV, |
| const | iW, |
| const | iTra) |
-
Constructs a 3D matrix from 4 vectors.
- Parameters:
-
- iU
- The fisrt vector.
- iV
- The second vector.
- iW
- The third vector.
- iTra
- The fourth vector (Translation).
o ~CAT4x4Matrix
| public virtual ~CAT4x4Matrix( | | ) |
-
Destructor.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iAxis) |
-
Constructs a 3D matrix from axis.
- Parameters:
-
- iAxis
- The axis.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | ) |
-
Constructs an 3D matrix from an other 3D matrix.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iTra) |
-
Constructs a 3D translation matrix from a translation vector.
- Parameters:
-
- iTra
- The translation vector.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iRot, |
| const | iTra) |
-
Constructs a 3D matrix from a float array and a translation vector.
- Parameters:
-
- iRot
- The rotation float array.
- iTra
- The translation vector.
o CAT4x4Matrix
| public CAT4x4Matrix( | const | iRot, |
| const | iInv) |
-
Constructs a 3D matrix from a rotation and angle vector and an invariant point.
- Parameters:
-
- iRot
- The rotation and angle vector.
- iInv
- the invariant point.
Methods
o ComputeInverseTransposeThirdColumnNormalized
| public ComputeInverseTransposeThirdColumnNormalized( | | oMatrix) |
-
Computes an Inversed, Transposed with the third column normalized 3D matrix.
- Parameters:
-
- oMatrix
- The components of the resultant 3D matrix.
o GetComponents
| public GetComponents( | | oU, |
| | oV, |
| | oW, |
| | oT) |
-
Gets the 3D matrix components.
- Parameters:
-
- oU
- The returned U rotation vector.
- oV
- The returned V rotation vector.
- oW
- The returned W rotation vector.
- oTra
- The returned translation point.
o GetComponents
| public GetComponents( | | oU, |
| | oV, |
| | oW, |
| | oT) |
-
Gets the 3D matrix components.
- Parameters:
-
- oU
- The returned U rotation direction.
- oV
- The returned V rotation direction.
- oW
- The returned W rotation direction.
- oTra
- The returned translation point.
o GetDeterminant
-
Gets the determinant of the 3D matrix.
- Returns:
- The value of the determinant.
o GetInvertedMatrix
| public GetInvertedMatrix( | | oMatrix) |
-
Gets the inverted 3D matrix.
- Parameters:
-
- oMatrix
- The returned inverted matrix.
o GetMatrix
-
Gets the 3D matrix components.
- Returns:
- The float pointer of the 3D matrix components.
o GetScaling
-
Gets the scaling factor of the 3D matrix.
- Returns:
- The value of the scaling factor of the 3D matrix.
o GetTranslation
| public GetTranslation( | | oTra) |
-
Gets the 3D matrix translation vector.
- Parameters:
-
- oTra
- The returned translation vector.
o IsIdentity
-
Indicates if the 3D matrix is an identity matrix.
- Returns:
- The status of the 3D matrix.
o SetComponents
| public SetComponents( | const | iU, |
| const | iV, |
| const | iW, |
| const | iT) |
-
Sets the 3D matrix components.
- Parameters:
-
- iU
- The U rotation vector.
- iV
- The V rotation vector.
- iW
- The W rotation vector.
- iTra
- The translation point.
o SetComponents
| public SetComponents( | const | iU, |
| const | iV, |
| const | iW, |
| const | iT) |
-
Sets the 3D matrix components.
- Parameters:
-
- iU
- The U rotation direction.
- iV
- The V rotation direction.
- iW
- The W rotation direction.
- iTra
- The translation point.
o SetElement
| public SetElement( | | iRow, |
| | iCol, |
| | iValue) |
-
Sets one element of the 3D matrix.
- Parameters:
-
- iRow
- The row indice.
- iCol
- The column indice.
- iValue.
- The value of the rowth and columnth element to be set.
o SetTranslation
| public SetTranslation( | const | iTra, |
| const | w | = 1.f) |
-
Sets the 3D matrix translation from a vector.
- Parameters:
-
- iTra
- The translation vector.
- w
- Do not use this parameter.
o multiply
| public multiply( | | ioPoint) |
-
Multiplies the 3D matrix by a point.
- Parameters:
-
- ioPoint
- The point multiply by the matrix and the returned point.
o multiply
| public multiply( | | ioVector) |
-
Multiplies the 3D matrix by a vector.
- Parameters:
-
- ioVector
- The vector multiply by the matrix and the returned vector.
o multiply
| public multiply( | | ioDirection) |
-
Multiplies the 3D matrix by a direction.
- Parameters:
-
- ioDirection
- The direction multiply by the matrix and the returned direction.
o multiply
| public multiply( | const | iMatrix1, |
| const | iMatrix2) |
-
Multiplies a 3D matrix by another 3D matrix.
- Parameters:
-
- iMatrix1
- The first 3D matrix.
- iMatrix2
- The second 3D matrix.
o operator *
| public operator *( | const | iMatrix) |
-
Multiplication operator.
- Parameters:
-
- iMatrix
- The matrix to multiply with the current one
- Returns:
- The matrix resulting from the multiplication
o operator =
| public operator =( | const | iMatrix) |
-
Assignment operator.
- Parameters:
-
- iMatrix
- The matrix to assign to the current one
- Returns:
- The matrix resulting from the assignment
o operator *=
| public operator *=( | const | iMatrix) |
-
Multiplication assignment operator.
- Parameters:
-
- iMatrix
- The matrix to multiply with the current one
- Returns:
- The matrix resulting from the multiplication
o operator *
| public operator *( | const | iPoint) |
-
Multiplies a matrix by a space point.
Role:
The 3x3 submatrix is multiplied by the point coordinate triplet
and the matrix translation vector is added to the multiplication result
- Parameters:
-
- iPoint
- The point whose coordinate triplet is to be multiplied by the matrix
- Returns:
- The point resulting from the multiplication
o operator *
| public operator *( | const | iVector) |
-
Multiplies a matrix by a space vector.
Role:
The 3x3 submatrix is multiplied by the vector component triplet
and the matrix translation vector is added to the multiplication result
- Parameters:
-
- iVector
- The vector whose component triplet is to be multiplied by the matrix
- Returns:
- The vector resulting from the multiplication
o operator *
| public operator *( | const | iDirection) |
-
Multiplies a matrix by a space direction.
Role:
The 3x3 submatrix is multiplied by the direction component triplet
and the matrix translation vector is added to the multiplication result
- Parameters:
-
- iDirection
- The direction whose component triplet is to be multiplied by the matrix
- Returns:
- The direction resulting from the multiplication
This object is included in the file: CAT4x4Matrix.h
If needed, your Imakefile.mk should include the module: CATViz