/
cosine_normals.py
57 lines (39 loc) · 1.38 KB
/
cosine_normals.py
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import numpy as np
from vector_utils import sph2cart
class Spherical(object):
def __init__(self):
super(Spherical, self).__init__()
def logmap(self, tangent_vectors):
if len(tangent_vectors.shape) < 3:
tangent_vectors = tangent_vectors[None, ...]
x = tangent_vectors[..., 0]
y = tangent_vectors[..., 1]
z = tangent_vectors[..., 2]
xyz = np.sqrt(x ** 2 + y ** 2 + z ** 2)
xy = np.sqrt(x ** 2 + y ** 2)
gx = x / xy
gy = y / xy
gz = z / xyz
sgz = np.sqrt(1 - gz ** 2)
spher = np.concatenate([gx[..., None], gy[..., None],
gz[..., None], sgz[..., None]], axis=-1)
spher[np.isnan(spher)] = 0.0
return spher
def expmap(self, sd_vectors):
if len(sd_vectors.shape) < 3:
sd_vectors = sd_vectors[None, ...]
gx = sd_vectors[..., 0]
gy = sd_vectors[..., 1]
gz = sd_vectors[..., 2]
sgz = sd_vectors[..., 3]
gzsgz = np.sqrt(gz ** 2 + sgz ** 2)
gxgy = np.sqrt(gx ** 2 + gy ** 2)
gx = gx / gxgy
gy = gy / gxgy
gz = gz / gzsgz
sgz = sgz / gzsgz
phi = np.arctan2(gy, gx)
theta = np.arctan2(sgz, gz)
cart = sph2cart(phi, theta, np.ones_like(phi), theta_origin='z')
cart[np.isnan(cart)] = 0.0
return cart