Beispiel #1
0
def itransformMatrix(
        translation = (0,0,0),
        center = (0,0,0),
        rotation = (0,1,0,0),
        scale = (1,1,1),
        scaleOrientation = (0,1,0,0),
        parentMatrix = None,
    ):
    """Convert VRML transform values to an inverse transform matrix

    Returns 4x4 transformation matrix
    Note that this uses VRML standard for rotations
    (angle last, and in radians).

    This should return matrices which, when applied to
    parent-space coordinates, give you local-space
    coordinates for the corresponding transform.

    Note: this is a substantially un-tested algorithm
    though it seems to be properly constructed as far
    as I can see.  Whether to use dot(x, parentMatrix)
    or the reverse is not immediately clear to me.
    
    parentMatrix if provided, should be the child's
    transformation matrix, a 4x4 matrix of such as
    returned by this function.
    """
    T,T1 = transMatrix( translation )
    C,C1 = transMatrix( center )
    R,R1 = rotMatrix( rotation )
    SO,SO1 = rotMatrix( scaleOrientation )
    S,S1 = scaleMatrix( scale )
    return compressMatrices( parentMatrix, C,SO, S1, SO1, R1, C1, T1)
Beispiel #2
0
def transformMatrix(
        translation = (0,0,0),
        center = (0,0,0),
        rotation = (0,1,0,0),
        scale = (1,1,1),
        scaleOrientation = (0,1,0,0),
        parentMatrix = None,
    ):
    """Convert VRML transform values to an overall matrix

    Returns 4x4 transformation matrix
    Note that this uses VRML standard for rotations
    (angle last, and in radians).

    This should return matrices which, when applied to
    local-space coordinates, give you parent-space
    coordinates.

    parentMatrix if provided, should be the parent's
    transformation matrix, a 4x4 matrix of such as
    returned by this function.
    """
    T,T1 = transMatrix( translation )
    C,C1 = transMatrix( center )
    R,R1 = rotMatrix( rotation )
    SO,SO1 = rotMatrix( scaleOrientation )
    S,S1 = scaleMatrix( scale )
    return compressMatrices( parentMatrix, T,C,R,SO,S,SO1,C1 )
Beispiel #3
0
def localMatrices(
        translation = (0,0,0),
        center = (0,0,0),
        rotation = (0,1,0,0),
        scale = (1,1,1),
        scaleOrientation = (0,1,0,0),
        parentMatrix = None,
    ):
    """Calculate (forward,inverse) matrices for this transform element"""
    T,T1 = transMatrix( translation )
    C,C1 = transMatrix( center )
    R,R1 = rotMatrix( rotation )
    SO,SO1 = rotMatrix( scaleOrientation )
    S,S1 = scaleMatrix( scale )
    return (
        compressMatrices( T,C,R,SO,S,SO1,C1 ),
        compressMatrices( C,SO, S1, SO1, R1, C1, T1)
    )
Beispiel #4
0
def transformMatrices( 
        translation = (0,0,0),
        center = (0,0,0),
        rotation = (0,1,0,0),
        scale = (1,1,1),
        scaleOrientation = (0,1,0,0),
        parentMatrix = None,
    ):
    """Calculate both forward and backward matrices for these parameters"""
    T,T1 = transMatrix( translation )
    C,C1 = transMatrix( center )
    R,R1 = rotMatrix( rotation )
    SO,SO1 = rotMatrix( scaleOrientation )
    S,S1 = scaleMatrix( scale )
    return (
        compressMatrices( parentMatrix, T,C,R,SO,S,SO1,C1 ),
        compressMatrices( parentMatrix, C,SO, S1, SO1, R1, C1, T1)
    )