Return angle between vectors. If directed is False, the input vectors are interpreted as undirected axes, i.e. the maximum angle is pi/2.

Return matrix to obtain normalized device coordinates from frustum. The frustum bounds are axis-aligned along x (left, right), y (bottom, top

Return transformation matrix from sequence of transformations. This is the inverse of the decompose_matrix function. Sequence of transformat

Compute Average Precision at a set IoU threshold (default 0.5). Returns: mAP: Mean Average Precision precisions: List of precisions at dif

Return concatenation of series of transformation matrices. >>> M = numpy.random.rand(16).reshape((4, 4)) - 0.5 >>> numpy.allclose(M, concaten

Return state of constrain to axis mode.

Return sequence of transformations from transformation matrix. matrix : array_like Non-degenerative homogeneous transformation matrix

Set initial cursor window coordinates and pick constrain-axis.

Update current cursor window coordinates.

Return Euler angles from quaternion for specified axis sequence. >>> angles = euler_from_quaternion([0.99810947, 0.06146124, 0, 0]) >>> numpy

Return 4x4 identity/unit matrix. >>> I = identity_matrix() >>> numpy.allclose(I, numpy.dot(I, I)) True >>> numpy.sum(I), numpy.trace(

Return inverse of square transformation matrix. >>> M0 = random_rotation_matrix() >>> M1 = inverse_matrix(M0.T) >>> numpy.allclose(M1, nu

Return True if two quaternions are equal.

Return True if two matrices perform same transformation. >>> is_same_transform(numpy.identity(4), numpy.identity(4)) True >>> is_same_tra

Return homogeneous rotation matrix.

Continue rotation in direction of last drag.

Return orthogonalization matrix for crystallographic cell coordinates. Angles are expected in degrees. The de-orthogonalization matrix is th

Place Arcball, e.g. when window size changes. center : sequence[2] Window coordinates of trackball center. radius : float

Return projection plane and perspective point from projection matrix. Return values are same as arguments for projection_matrix function: poi

Return matrix to project onto plane defined by point and normal. Using either perspective point, projection direction, or none of both. If p

Return quaternion for rotation about axis. >>> q = quaternion_about_axis(0.123, [1, 0, 0]) >>> numpy.allclose(q, [0.99810947, 0.06146124, 0,

Return conjugate of quaternion. >>> q0 = random_quaternion() >>> q1 = quaternion_conjugate(q0) >>> q1[0] == q0[0] and all(q1[1:] == -q0[1

Return quaternion from Euler angles and axis sequence. ai, aj, ak : Euler's roll, pitch and yaw angles axes : One of 24 axis sequences as str

Return imaginary part of quaternion. >>> quaternion_imag([3, 0, 1, 2]) array([ 0., 1., 2.])

Return inverse of quaternion. >>> q0 = random_quaternion() >>> q1 = quaternion_inverse(q0) >>> numpy.allclose(quaternion_multiply(q0, q1)

Return real part of quaternion. >>> quaternion_real([3, 0, 1, 2]) 3.0

Return uniform random rotation matrix. rand: array like Three independent random variables that are uniformly distributed between

Return array of random doubles in the half-open interval [0.0, 1.0). >>> v = random_vector(10000) >>> numpy.all(v >= 0) and numpy.all(v < 1)

Return mirror plane point and normal vector from reflection matrix. >>> v0 = numpy.random.random(3) - 0.5 >>> v1 = numpy.random.random(3) - 0

Return matrix to mirror at plane defined by point and normal vector. >>> v0 = numpy.random.random(4) - 0.5 >>> v0[3] = 1. >>> v1 = numpy.

Return rotation angle and axis from rotation matrix. >>> angle = (random.random() - 0.5) * (2*math.pi) >>> direc = numpy.random.random(3) - 0

Return matrix to rotate about axis defined by point and direction. >>> R = rotation_matrix(math.pi/2, [0, 0, 1], [1, 0, 0]) >>> numpy.allclos

sample uniform point from .obj mesh file. if norm, we ill normalize it.

vertex: [N x 3]

Return scaling factor, origin and direction from scaling matrix. >>> factor = random.random() * 10 - 5 >>> origin = numpy.random.random(3) -

Return matrix to scale by factor around origin in direction. Use factor -1 for point symmetry. >>> v = (numpy.random.rand(4, 5) - 0.5) * 20

Set axes to constrain rotations.

Return shear angle, direction and plane from shear matrix. >>> angle = (random.random() - 0.5) * 4*math.pi >>> direct = numpy.random.random(3

Return matrix to shear by angle along direction vector on shear plane. The shear plane is defined by a point and normal vector. The direction

Return matrix to transform given 3D point set into second point set. v0 and v1 are shape (3, \*) or (4, \*) arrays of at least 3 points. The

Return translation vector from translation matrix. >>> v0 = numpy.random.random(3) - 0.5 >>> v1 = translation_from_matrix(translation_matrix(

Return matrix to translate by direction vector. >>> v = numpy.random.random(3) - 0.5 >>> numpy.allclose(v, translation_matrix(v)[:3, 3])

Return vector perpendicular to vectors. >>> v = vector_product([2, 0, 0], [0, 3, 0]) >>> numpy.allclose(v, [0, 0, 6]) True >>> v0 = [