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LeafAsFacet.py
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# coding: utf-8
import numpy as np
from scipy.linalg import expm, norm
class LAD:
UNIFORM = "Uniform"
SPHERICAL = "Spherical"
ERECTOPHILE = "Erectophile"
EXTREMOPHILE = "Extremophile"
PLANOPHILE = "Planophile"
PLAGIOPHILE = "Plagiophile"
class LeafShape:
SQUARE = "Square"
DISK = "Disk"
class LeafAsFacetGenerator(object):
def __init__(self, leaf_angle_dist, num_leaves, leaf_positions, single_leaf_area, leaf_shape=LeafShape.SQUARE):
self.leaf_angle_dist = leaf_angle_dist
self._num_of_leaves = num_leaves
self.all_pos = leaf_positions
self.single_leaf_area = single_leaf_area
self.leaf_shape = leaf_shape
self.leaf_num_triangles = 12
def _calculate_leaf_length(self):
if self.leaf_shape == LeafShape.SQUARE:
return np.sqrt(self.single_leaf_area)
if self.leaf_shape == LeafShape.DISK:
theta = np.pi * 2 / self.leaf_num_triangles
tri_leaf = self.single_leaf_area / self.leaf_num_triangles
leaf_radius = np.sqrt(2 * tri_leaf / np.sin(theta))
return leaf_radius
def _generate_leaf_normal(self):
'''
Sphrical: 球形状
Uniform:统一型
Planophile：平面型
Erectophile：竖直型
Plagiophile：倾斜型
Extremophile：极端型
'''
all_normals = []
if self.leaf_angle_dist == LAD.SPHERICAL:
for i in range(self._num_of_leaves):
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
theta = np.arccos(np.random.rand()) # randomly zenith angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
# f = open(r"D:\LESS\simulations\LESSMedium\SimpleHorizontalLayerRAMI\HOM03_ERE_scene.def")
# for line in f:
# arr = list(map(lambda x: float(x), line.split()))
# all_normals.append([-arr[4], arr[6], arr[5]])
if self.leaf_angle_dist == LAD.UNIFORM:
for i in range(self._num_of_leaves):
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
theta = np.random.rand() * np.pi * 0.5 # randomly zenith angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
if self.leaf_angle_dist == LAD.PLANOPHILE:
while True:
theta = np.random.rand() * np.pi * 0.5
y = (2 + 2 * np.cos(2 * theta)) / np.pi
rnd_y = np.random.rand() * 4 / np.pi
if rnd_y <= y: # accept
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
if len(all_normals) == self._num_of_leaves:
break
if self.leaf_angle_dist == LAD.ERECTOPHILE: # 竖直型
while True:
theta = np.random.rand() * np.pi * 0.5
y = (2 - 2 * np.cos(2 * theta)) / np.pi
rnd_y = np.random.rand() * 4 / np.pi
if rnd_y <= y: # accept
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
if len(all_normals) == self._num_of_leaves:
break
if self.leaf_angle_dist == LAD.PLAGIOPHILE: # 倾斜型
while True:
theta = np.random.rand() * np.pi * 0.5
y = (2 - 2 * np.cos(4 * theta)) / np.pi
rnd_y = np.random.rand() * 4 / np.pi
if rnd_y <= y: # accept
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
if len(all_normals) == self._num_of_leaves:
break
if self.leaf_angle_dist == LAD.EXTREMOPHILE: # 极端
while True:
theta = np.random.rand() * np.pi * 0.5
y = (2 + 2 * np.cos(4 * theta)) / np.pi
rnd_y = np.random.rand() * 4 / np.pi
if rnd_y <= y: # accept
phi = np.random.rand() * np.pi * 2 # randomly azimuth angle
rx = -np.sin(theta) * np.cos(phi)
rz = np.sin(theta) * np.sin(phi)
ry = np.cos(theta)
all_normals.append([rx, ry, rz])
if len(all_normals) == self._num_of_leaves:
break
return all_normals
@staticmethod
def _M(axis, theta):
return expm(np.cross(np.eye(3), axis / norm(axis) * theta))
def _generate_single_leaf(self, leaf_pos, leaf_normal, leaf_length):
leaf_side_length = leaf_length
# generate leaf according to normal
if self.leaf_shape == LeafShape.SQUARE:
# First, find a arbitrary vector which is not parallel with normal
# and do cross product, the resulting vector is in leaf plane
arv = np.array([0, 0, 1])
v = np.cross(leaf_normal, arv)
v = v / np.linalg.norm(v)
p1 = leaf_side_length * np.sqrt(2) * 0.5 * v + leaf_pos
v = np.cross(leaf_normal, v)
p2 = leaf_side_length * np.sqrt(2) * 0.5 * v + leaf_pos
v = np.cross(leaf_normal, v)
p3 = leaf_side_length * np.sqrt(2) * 0.5 * v + leaf_pos
v = np.cross(leaf_normal, v)
p4 = leaf_side_length * np.sqrt(2) * 0.5 * v + leaf_pos
return [p1, p2, p3, p4]
elif self.leaf_shape == LeafShape.DISK: # leaf_side_length is leaf radius
# First, find a arbitrary vector which is not parallel with normal
# and do cross product, the resulting vector is in leaf plane
pts = []
rot_rad = np.pi * 2 / self.leaf_num_triangles
arv = np.array([0, 0, 1])
v0 = np.cross(leaf_normal, arv)
v0 = v0 / np.linalg.norm(v0)
p1 = leaf_side_length * v0 + leaf_pos # 第一个点
pts.append(p1)
for i in range(0, self.leaf_num_triangles - 1):
m0 = LeafAsFacetGenerator._M(np.array(leaf_normal), rot_rad * (i + 1))
newv = np.dot(m0, v0)
newv = newv / np.linalg.norm(newv)
newp = leaf_side_length * newv + leaf_pos # 第一个点
pts.append(newp)
return pts
else:
print("Leaf shape is not supported.")
def generate_leaves(self, dist_obj):
all_normal = self._generate_leaf_normal()
leaf_length = self._calculate_leaf_length()
f_out = open(dist_obj, "w")
f_out.write("g leaves\n")
trunk_start_index = 0
for i in range(self._num_of_leaves):
leaf_pos = self.all_pos[i]
leaf_normal = all_normal[i]
points = self._generate_single_leaf(leaf_pos, leaf_normal, leaf_length)
if i % 10000 == 0:
f_out.flush()
if self.leaf_shape == LeafShape.SQUARE:
p1, p2, p3, p4 = points
f_out.write("v %.4f %.4f %.4f\n" % (p1[0], p1[1], p1[2]))
f_out.write("v %.4f %.4f %.4f\n" % (p2[0], p2[1], p2[2]))
f_out.write("v %.4f %.4f %.4f\n" % (p3[0], p3[1], p3[2]))
f_out.write("v %.4f %.4f %.4f\n" % (p4[0], p4[1], p4[2]))
f_out.write(
"f %d %d %d %d\n" % (trunk_start_index + 1, trunk_start_index + 2, trunk_start_index + 3, trunk_start_index + 4))
trunk_start_index += 4
if self.leaf_shape == LeafShape.DISK:
points.append(leaf_pos)
tot_pt_each_leaf = len(points)
for j in range(0, len(points)):
f_out.write("v %.4f %.4f %.4f\n" % (points[j][0], points[j][1], points[j][2]))
for j in range(0, self.leaf_num_triangles - 1):
f_out.write(
"f %d %d %d\n" % (trunk_start_index + j + 1,
trunk_start_index + j + 2,
trunk_start_index + tot_pt_each_leaf))
f_out.write(
"f %d %d %d\n" % (trunk_start_index + self.leaf_num_triangles,
trunk_start_index + 1,
trunk_start_index + tot_pt_each_leaf))
trunk_start_index += tot_pt_each_leaf
f_out.close()