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    Class Geom

    Inheritance
    Geom
    Namespace:
    Syntax

    Methods

    applyTransform

    Apply a transformation matrix to a geometrical entity

    Declaration
    geom.applyTransform(entity, matrix=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]])
    Parameters
    Type Name Description
    GeomEntity entity

    The geometric entity

    Matrix4 matrix

    The transformation matrix

    configureFunctionLogger

    Declaration
    geom.configureFunctionLogger(functionName, enableFunction, enableParameters, enableExecutionTime)
    Parameters
    Type Name Description
    String functionName
    Boolean enableFunction
    Boolean enableParameters
    Boolean enableExecutionTime

    getEntityAABB

    Retrieve the Axis-Aligned Bounded Box of a geometric entity

    Declaration
    geom.getEntityAABB(entity) -> geom.AABB
    Parameters
    Type Name Description
    GeomEntity entity

    The geometric entity

    Returns
    Type Description
    AABB

    The axis aligned bounded box

    changeOfBasisMatrix

    Construct a Change of Basis Matrix (e.g multiplying the point [0,0,0] will result to the point origin)

    See also:

    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.changeOfBasisMatrix(origin, x, y, z) -> geom.Matrix4
    Parameters
    Type Name Description
    Point3 origin

    Origin of the new basis

    Vector3 x

    X axis of the new basis

    Vector3 y

    Y axis of the new basis

    Vector3 z

    Z axis of the new basis

    Returns
    Type Description
    Matrix4

    The change of basis matrix

    fromAffine

    Create a Matrix from an Affine

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.fromAffine(affine) -> geom.Matrix4
    Parameters
    Type Name Description
    Affine affine

    The affine

    Returns
    Type Description
    Matrix4

    The created Matrix

    fromLookAtMatrix

    Get camera position, up and target vectors

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.fromLookAtMatrix(matrix, distanceFromTarget) -> geom.Point3, geom.Vector3, geom.Point3
    Parameters
    Type Name Description
    Matrix4 matrix

    The created Matrix

    Distance distanceFromTarget
    Returns
    Type Description
    Point3

    The camera position

    fromOriginNormal

    Create a Matrix from an origin and a normal vector

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.fromOriginNormal(origin, normal) -> geom.Matrix4
    Parameters
    Type Name Description
    Point3 origin

    The origin point

    Vector3 normal

    The normal vector

    Returns
    Type Description
    Matrix4

    The created Matrix

    fromTRS

    Create a Matrix from translation, rotation and scaling vectors

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.fromTRS(T, R, S) -> geom.Matrix4
    Parameters
    Type Name Description
    Vector3 T

    The translation vector

    Vector3 R

    The rotations vector

    Vector3 S

    The scaling vector

    Returns
    Type Description
    Matrix4

    The created Matrix

    getMaxScale

    Get maximum matrix scale

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.getMaxScale(matrix) -> core.Double
    Parameters
    Type Name Description
    Matrix4 matrix
    Returns
    Type Description
    Double

    Max scale value

    invertMatrix

    Invert a matrix

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.invertMatrix(matrix) -> geom.Matrix4
    Parameters
    Type Name Description
    Matrix4 matrix

    The matrix to invert

    Returns
    Type Description
    Matrix4

    The inverted matrix

    lookAtMatrix

    Create a matrix from a camera position, up and target

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.lookAtMatrix(position, up, target) -> geom.Matrix4
    Parameters
    Type Name Description
    Point3 position

    The camera position

    Vector3 up

    The up vector

    Point3 target

    The target position

    Returns
    Type Description
    Matrix4

    The created matrix

    multiplyMatrices

    Multiply two matrices, returns left*right

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.multiplyMatrices(left, right) -> geom.Matrix4
    Parameters
    Type Name Description
    Matrix4 left

    Left side matrix

    Matrix4 right

    Right side matrix

    Returns
    Type Description
    Matrix4

    Result of the matrices multiplication

    multiplyMatrixPoint

    Multiply a point by a matrix (i.e apply the matrix to a point)

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.multiplyMatrixPoint(matrix, point) -> geom.Point3
    Parameters
    Type Name Description
    Matrix4 matrix

    The matrix to apply

    Point3 point

    The point to multiply

    Returns
    Type Description
    Point3

    The resulting point

    multiplyMatrixVector

    Multiply a vector by a matrix (i.e apply the matrix to a vector)

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.multiplyMatrixVector(matrix, vector) -> geom.Vector3
    Parameters
    Type Name Description
    Matrix4 matrix

    The matrix to apply

    Vector3 vector

    The vector to multiply

    Returns
    Type Description
    Vector3

    The resulting point

    orthographicMatrix

    Create an orthographic matrix from a 3D width, a 3D height, a near, and a far clipping distance

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.perspectiveMatrix
    • geom.toTRS
    Declaration
    geom.orthographicMatrix(width3D, height3D, nearClipDistance, farClipDistance) -> geom.Matrix4
    Parameters
    Type Name Description
    Double width3D

    The 3D width to consider

    Double height3D

    The 3D height to consider

    Distance nearClipDistance

    The near clipping distance

    Distance farClipDistance

    The far clipping distance

    Returns
    Type Description
    Matrix4

    The created matrix

    perspectiveMatrix

    Create a perspective matrix from a fovX, an aspect ratio, a near, and a far clipping distance

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.toTRS
    Declaration
    geom.perspectiveMatrix(fovX, aspectRatio, nearClipDistance, farClipDistance) -> geom.Matrix4
    Parameters
    Type Name Description
    Angle fovX

    The field of view on the x axis

    Double aspectRatio

    The aspect ratio foxX/fovY

    Distance nearClipDistance

    The near clipping distance

    Distance farClipDistance

    The far clipping distance

    Returns
    Type Description
    Matrix4

    The created matrix

    toTRS

    Decompose a Matrix into translation, rotation and scaling vectors

    See also:

    • geom.changeOfBasisMatrix
    • geom.fromAffine
    • geom.fromLookAtMatrix
    • geom.fromOriginNormal
    • geom.fromTRS
    • geom.getMaxScale
    • geom.invertMatrix
    • geom.lookAtMatrix
    • geom.multiplyMatrices
    • geom.multiplyMatrixPoint
    • geom.multiplyMatrixVector
    • geom.orthographicMatrix
    • geom.perspectiveMatrix
    Declaration
    geom.toTRS(matrix) -> geom.Vector3List
    Parameters
    Type Name Description
    Matrix4 matrix

    The Matrix to be decomposed

    Returns
    Type Description
    Vector3List

    The TRS list

    Pixyz Studio 2025.1.1.2 based on SDK 2025.1.2.3
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