pyCGM2.Math

derivation

splineFittingDerivation(values, sampleFrequency)	Spline fitting derivation of an array of values.
splineDerivation(values, sampleFrequency[, ...])	Spline derivation of an array of values.
firstOrderFiniteDifference(values, ...)	First-order differentiation of an array using finite difference method.
firstOrderFiniteDifference(values, ...)	First-order differentiation of an array using finite difference method.
matrixFirstDerivation(motionList, ...)	First-order derivation of the rotation matrix contained in a list of frames.
matrixSecondDerivation(motionList, ...)	Second-order derivation of the rotation matrix contained in a list of frames.

euler

wrapEulerTo(inputAngles, Dest)	Correct Euler angles to wrap around the target values.
euler_xyz(Matrix[, similarOrder])	Decompose a rotation matrix using the XYZ Euler sequence.
euler_xzy(Matrix[, similarOrder])	Decompose a rotation matrix using the YZX Euler sequence.
euler_yxz(Matrix[, similarOrder])	Decompose a rotation matrix using the YXZ Euler sequence.
euler_yzx(Matrix[, similarOrder])	Decompose a rotation matrix using the ZYX Euler sequence.
euler_zxy(Matrix[, similarOrder])	Decompose a rotation matrix using the ZXY Euler sequence.
euler_zyx(Matrix[, similarOrder])	Decompose a rotation matrix using the XZY Euler sequence.

geometry

computeAngle(u1, v1)	Compute the angle between two vectors.
angleFrom2Vectors(v1, v2[, vn])	Compute a signed angle between two vectors, optionally using a common orthogonal vector.
oppositeVector(v1)	Compute the opposite (negative) of a vector.
LineLineIntersect(p1, p2, p3, p4)	Calculates the line segment pa_pb that is the shortest route between two lines p1_p2 and p3_p4.

normalisation

timeSequenceNormalisation(Nrow, data)

Normalise a given data array to have a specified number of rows through linear interpolation.

numeric

rms(x[, axis])	Calculate the root mean square (RMS) along a specified axis of an array.
skewMatrix(vector)	Generate a skew-symmetric matrix from a given vector.