add torch smpl

This commit is contained in:
2023-05-08 14:53:14 +00:00
parent 43752d085a
commit cb779f38d9
2 changed files with 224 additions and 350 deletions
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import os
import sys
import pickle
import scipy.io as sio
from math import *
import numpy as np
import tensorflow as tf
# Left-Right
eval_joints = {
'All': [1, 2, 3, 4, 5, 7, 8, 9, 12, 15, 16, 17, 18, 19, 20, 21],
'Head': [12, 15], # Neck, Head
'Torso': [3, 6, 9], # Back joints
'Shoulder': [13, 14, 16, 17], # Inner, Outer
'Elbow': [18, 19],
'Wrist': [20, 21],
'Hip': [1, 2],
'Knee': [4, 5],
'Foot': [7, 8, 10, 11]} # Ankle, Foot
class SMPL:
def __init__(self, path):
self.J_regressor = []
self.v_template = []
self.shapedirs = []
self.posedirs = []
self.weights = []
# Load SMPL models
# path = os.path.abspath(os.path.dirname(__file__))
with open(os.path.join(path, 'super_model_f.pkl'), 'rb') as f:
if sys.version_info[0]<3:
female = pickle.load(f)
else:
female = pickle.load(f, encoding="latin1")
self.J_regressor.append(tf.constant(np.array(female['J_regressor'].todense(), dtype=np.float32)))
self.v_template.append(tf.constant(female['v_template'], dtype=np.float32))
self.posedirs.append(tf.constant(female['posedirs'], dtype=np.float32))
self.shapedirs.append(tf.constant(female['shapedirs'], dtype=np.float32))
self.weights.append(tf.constant(female['weights'], dtype=np.float32))
with open(os.path.join(path, 'super_model_m.pkl'), 'rb') as f:
if sys.version_info[0]<3:
male = pickle.load(f)
else:
male = pickle.load(f, encoding="latin1")
self.J_regressor.append(tf.constant(np.array(male['J_regressor'].todense(), dtype=np.float32)))
self.v_template.append(tf.constant(male['v_template'], dtype=np.float32))
self.posedirs.append(tf.constant(male['posedirs'], dtype=np.float32))
self.shapedirs.append(tf.constant(male['shapedirs'], dtype=np.float32))
self.weights.append(tf.constant(male['weights'], dtype=np.float32))
kintree_table = male['kintree_table']
id_to_col = {kintree_table[1, i]: i for i in range(kintree_table.shape[1])}
self.parent = {i: id_to_col[kintree_table[0, i]] for i in range(1, kintree_table.shape[1])}
self.J_regressor = tf.stack(self.J_regressor, axis=0)
self.v_template = tf.stack(self.v_template, axis=0)
self.shapedirs = tf.stack(self.shapedirs, axis=0)
self.posedirs = tf.stack(self.posedirs, axis=0)
self.weights = tf.stack(self.weights, axis=0)
self.weights_one_hot = tf.reduce_mean(self.weights, axis=0)
self.weights_one_hot = tf.math.argmax(self.weights_one_hot, axis=-1)
self.weights_one_hot = tf.one_hot(self.weights_one_hot, 24)
# Topology no head/hands/feet
F = sio.loadmat(path + '/../Data/ssmpl_faces.mat')
self.f = np.array(F['faces_default'])
self.f_skirt = np.array(F['faces_skirt'])
self.nn = np.array(sio.loadmat(path + '/../Data/NN.mat'))
self.to_keep = sio.loadmat(os.path.join(path, 'keep_remove.mat'))['keep'].reshape(-1)
def Q2R(self, w, x, y, z):
def diag(a, b): # computes the diagonal entries, 1 - 2*a**2 - 2*b**2
return 1 - 2 * tf.pow(a, 2) - 2 * tf.pow(b, 2)
def tr_add(a, b, c, d): # computes triangle entries with addition
return 2 * a * b + 2 * c * d
def tr_sub(a, b, c, d): # computes triangle entries with subtraction
return 2 * a * b - 2 * c * d
m = [[diag(y, z), tr_sub(x, y, z, w), tr_add(x, z, y, w)],
[tr_add(x, y, z, w), diag(x, z), tr_sub(y, z, x, w)],
[tr_sub(x, z, y, w), tr_add(y, z, x, w), diag(x, y)]]
R = tf.stack([tf.stack(m[i], axis=-1) for i in range(3)], axis=-2)
return R
def rodrigues(self, r):
theta = tf.norm(r, axis=(1, 2), keepdims=True)
theta = tf.maximum(theta, np.finfo(np.float32).eps)
r_hat = r / theta
z_stick = tf.zeros(theta.get_shape().as_list()[0], dtype=tf.float32)
m = tf.stack(
(z_stick, -r_hat[:, 0, 2], r_hat[:, 0, 1], r_hat[:, 0, 2], z_stick,
-r_hat[:, 0, 0], -r_hat[:, 0, 1], r_hat[:, 0, 0], z_stick), axis=1)
m = tf.reshape(m, (-1, 3, 3))
i_cube = tf.expand_dims(tf.eye(3, dtype=tf.float32), axis=0) + tf.zeros(
(theta.get_shape().as_list()[0], 3, 3), dtype=tf.float32)
# R = cos * i_cube + (1 - cos) * dot + tf.sin(theta) * m
R = i_cube + m * tf.sin(theta) + tf.matmul(m, m) * (1 - tf.cos(theta))
return R
def with_zeros(self, x):
return tf.concat((x, tf.constant([[0.0, 0.0, 0.0, 1.0]], dtype=tf.float32)), axis=0)
def pack(self, x):
return tf.concat((tf.zeros((x.get_shape().as_list()[0], 4, 3), dtype=tf.float32), x), axis=2)
def run_rodrigues(self, pose):
batch_size = pose.shape[0]
R_out = self.rodrigues(tf.reshape(pose, (-1, 1, 3)))
R_out = tf.reshape(R_out, (batch_size, -1, 3, 3))
#R_out = []
#for i in range(batch_size):
# R_out.append(self.rodrigues(tf.reshape(pose[i,:], (-1, 1, 3))))
#R_out = tf.stack(R_out, axis=0)
return R_out
def run(self, R, betas, remove=True):
batch_size = betas.shape[0]
#J_regressor = tf.gather(self.J_regressor, gender, axis=0)
#shapedirs = tf.gather(self.shapedirs, gender, axis=0)
#v_template = tf.gather(self.v_template, gender, axis=0)
v_shaped = []
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[0], axes=[[1], [2]]) + tf.reshape(self.v_template[0], shape=(1,27578,3))) # female
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[1], axes=[[1], [2]]) + tf.reshape(self.v_template[1], shape=(1,27578,3))) # male
v_shaped = tf.stack(v_shaped, axis=-1)
def single_run(x, J_regressor=self.J_regressor, posedirs=self.posedirs, weights=self.weights, parent=self.parent):
R = x[0]
v_shaped = x[1]
g = x[2]
J = tf.matmul(J_regressor[g], v_shaped[:, :, g])
R_cube_big = R
R_cube = R_cube_big[1:]
I_cube = tf.expand_dims(tf.eye(3, dtype=tf.float32), axis=0) + tf.zeros((R_cube.get_shape()[0], 3, 3), dtype=tf.float32)
lrotmin = tf.squeeze(tf.reshape((R_cube - I_cube), (-1, 1)))
v_posed = v_shaped[:, :, g] + tf.tensordot(posedirs[g], lrotmin, axes=[[2], [0]])
results = []
results.append(self.with_zeros(tf.concat((R_cube_big[0], tf.reshape(J[0, :], (3, 1))), axis=1)))
for j in range(1, 24):
results.append(tf.matmul(results[parent[j]], self.with_zeros(tf.concat((R_cube_big[j], tf.reshape(J[j, :] - J[parent[j], :], (3, 1))), axis=1))))
stacked = tf.stack(results, axis=0)
results = stacked - self.pack(tf.matmul(stacked, tf.reshape(tf.concat((J, tf.zeros((24, 1), dtype=tf.float32)), axis=1), (24, 4, 1))))
J = tf.matmul(results, tf.expand_dims(tf.concat([J, tf.ones([24, 1], tf.float32)], axis=1), axis=1), transpose_b=True)
J = tf.gather(J, tf.constant([0, 1, 2], tf.int32), axis=1)
T = tf.tensordot(weights[g], results, axes=((1), (0)))
rest_shape_h = tf.concat((v_posed, tf.ones((v_posed.get_shape().as_list()[0], 1), dtype=tf.float32)), axis=1)
v = tf.matmul(T, tf.reshape(rest_shape_h, (-1, 4, 1)))
v = tf.reshape(v, (-1, 4))[:, :3]
return v, tf.squeeze(J), v_posed
gender = tf.cast(tf.greater_equal(betas[:, 10] , 0), tf.int32)
T_out, J_out, v_posed = tf.map_fn(single_run, (R, v_shaped, gender), (tf.float32, tf.float32, tf.float32))
J0 = tf.reshape(J_out[:,0,:], (-1, 1, 3))
J_out = tf.subtract(J_out, J0)
T_out = tf.subtract(T_out, J0)
v_posed = tf.subtract(v_posed, J0)
if remove:
T_out = tf.gather(T_out, self.to_keep, axis=1)
v_posed = tf.gather(v_posed, self.to_keep, axis=1)
return T_out, J_out, v_posed
def run_with_weights(self, R, betas, v_cloth, weights=None, filter=None):
v_shaped = []
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[0], axes=[[1], [2]]) + tf.reshape(self.v_template[0], shape=(1,27578,3))) # female
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[1], axes=[[1], [2]]) + tf.reshape(self.v_template[1], shape=(1,27578,3))) # male
v_shaped = tf.stack(v_shaped, axis=-1)
if weights is None:
w = self.weights_one_hot[np.newaxis, :, :]
if filter is not None:
w = tf.gather(tf.gather(w, self.to_keep, axis=1), filter, axis=1)
if v_cloth.shape[1] == 14475:
w = tf.gather(w, self.to_keep, axis=1)
else:
w = weights
def single_run(x, J_regressor=self.J_regressor, w=w, parent=self.parent):
R = x[0]
v_shaped = x[1]
g = x[2]
v_cloth = x[3]
J = tf.matmul(J_regressor[g], v_shaped[:, :, g])
R_cube_big = R
results = []
results.append(self.with_zeros(tf.concat((R_cube_big[0], tf.reshape(J[0, :], (3, 1))), axis=1)))
for j in range(1, 24):
results.append(tf.matmul(results[parent[j]], self.with_zeros(tf.concat((R_cube_big[j], tf.reshape(J[j, :] - J[parent[j], :], (3, 1))), axis=1))))
stacked = tf.stack(results, axis=0)
results = stacked - self.pack(tf.matmul(stacked, tf.reshape(tf.concat((J, tf.zeros((24, 1), dtype=tf.float32)), axis=1), (24, 4, 1))))
J = tf.matmul(results, tf.expand_dims(tf.concat([J, tf.ones([24, 1], tf.float32)], axis=1), axis=1), transpose_b=True)
J = tf.gather(J, tf.constant([0, 1, 2], tf.int32), axis=1)
T = tf.tensordot(w[0], results, axes=((1), (0)))
rest_shape_h = tf.concat((v_cloth, tf.ones((v_cloth.shape[0], 1), dtype=tf.float32)), axis=1)
v = tf.matmul(T, tf.reshape(rest_shape_h, (-1, 4, 1)))
v = tf.reshape(v, (-1, 4))[:, :3]
return v, tf.squeeze(J)
gender = tf.cast(tf.greater_equal(betas[:, 10] , 0), tf.int32)
T_out, J_out = tf.map_fn(single_run, (R, v_shaped, gender, v_cloth), (tf.float32, tf.float32))
J0 = tf.reshape(J_out[:,0,:], (-1, 1, 3))
T_out = tf.subtract(T_out, J0)
return T_out
def get_joints_template(self, betas):
v_shaped = []
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[0], axes=[[1], [2]]) + tf.reshape(self.v_template[0], shape=(1,27578,3))) # female
v_shaped.append(tf.tensordot(betas[:,:10], self.shapedirs[1], axes=[[1], [2]]) + tf.reshape(self.v_template[1], shape=(1,27578,3))) # male
v_shaped = tf.stack(v_shaped, axis=-1)
def single_run(x, J_regressor=self.J_regressor):
v_shaped = x[0]
g = x[1]
J = tf.matmul(J_regressor[g], v_shaped[:, :, g])
return J
gender = tf.cast(tf.greater_equal(betas[:, 10] , 0), tf.int32)
J = tf.map_fn(single_run, (v_shaped, gender), (tf.float32))
J0 = tf.reshape(J[:,0,:], (-1, 1, 3))
return tf.subtract(J, J0)
def run_garment(self, R, betas, v_cloth, J=None, fl_idx=None):
if J is None:
J = self.get_joints_template(betas)
weights = tf.gather(self.weights, self.to_keep, axis=1)
if fl_idx is not None:
weights = tf.gather(weights, fl_idx, axis=1)
def single_run(x, J_regressor=self.J_regressor, posedirs=self.posedirs, weights=weights, parent=self.parent):
R = x[0]
J = x[1]
g = x[2]
v_cloth = x[3]
R_cube_big = R
# R_cube = R_cube_big[1:]
# I_cube = tf.expand_dims(tf.eye(3, dtype=tf.float32), axis=0) + tf.zeros((R_cube.get_shape()[0], 3, 3), dtype=tf.float32)
# lrotmin = tf.squeeze(tf.reshape((R_cube - I_cube), (-1, 1)))
results = []
results.append(self.with_zeros(tf.concat((R_cube_big[0], tf.reshape(J[0, :], (3, 1))), axis=1)))
for j in range(1, 24):
results.append(tf.matmul(results[parent[j]], self.with_zeros(tf.concat((R_cube_big[j], tf.reshape(J[j, :] - J[parent[j], :], (3, 1))), axis=1))))
stacked = tf.stack(results, axis=0)
results = stacked - self.pack(tf.matmul(stacked, tf.reshape(tf.concat((J, tf.zeros((24, 1), dtype=tf.float32)), axis=1), (24, 4, 1))))
J = tf.matmul(results, tf.expand_dims(tf.concat([J, tf.ones([24, 1], tf.float32)], axis=1), axis=1), transpose_b=True)
J = tf.gather(J, tf.constant([0, 1, 2], tf.int32), axis=1)
T = tf.tensordot(weights[g, :, :], results, axes=((1), (0)))
rest_shape_h = tf.concat((v_cloth, tf.ones((v_cloth.shape[0], 1), dtype=tf.float32)), axis=1)
v = tf.matmul(T, tf.reshape(rest_shape_h, (-1, 4, 1)))
v = tf.reshape(v, (-1, 4))[:, :3]
return v, tf.squeeze(J)
gender = tf.cast(tf.greater_equal(betas[:, 10] , 0), tf.int32)
T_out, J_out = tf.map_fn(single_run, (R, J, gender, v_cloth), (tf.float32, tf.float32))
J0 = tf.reshape(J_out[:,0,:], (-1, 1, 3))
J_out = tf.subtract(J_out, J0)
T_out = tf.subtract(T_out, J0)
return T_out
def run_garment_with_weights(self, R, betas, v_cloth, weights, J=None):
if J is None:
J = self.get_joints_template(betas)
def single_run(x, parent=self.parent):
R = x[0]
J = x[1]
v_cloth = x[2]
weights = x[3]
R_cube_big = R
results = []
results.append(self.with_zeros(tf.concat((R_cube_big[0], tf.reshape(J[0, :], (3, 1))), axis=1)))
for j in range(1, 24):
results.append(tf.matmul(results[parent[j]], self.with_zeros(tf.concat((R_cube_big[j], tf.reshape(J[j, :] - J[parent[j], :], (3, 1))), axis=1))))
stacked = tf.stack(results, axis=0)
results = stacked - self.pack(tf.matmul(stacked, tf.reshape(tf.concat((J, tf.zeros((24, 1), dtype=tf.float32)), axis=1), (24, 4, 1))))
J = tf.matmul(results, tf.expand_dims(tf.concat([J, tf.ones([24, 1], tf.float32)], axis=1), axis=1), transpose_b=True)
J = tf.gather(J, tf.constant([0, 1, 2], tf.int32), axis=1)
T = tf.tensordot(weights, results, axes=((1), (0)))
rest_shape_h = tf.concat((v_cloth, tf.ones((v_cloth.get_shape().as_list()[0], 1), dtype=tf.float32)), axis=1)
v = tf.matmul(T, tf.reshape(rest_shape_h, (-1, 4, 1)))
v = tf.reshape(v, (-1, 4))[:, :3]
return v, tf.squeeze(J)
# gender = tf.cast(tf.greater_equal(betas[:, 10] , 0), tf.int32)
T_out, J_out = tf.map_fn(single_run, (R, J, v_cloth, weights), (tf.float32, tf.float32))
J0 = tf.reshape(J_out[:,0,:], (-1, 1, 3))
J_out = tf.subtract(J_out, J0)
T_out = tf.subtract(T_out, J0)
return T_out
def run_backward(self, R, J, v_posed, weights):
batch_size = R.get_shape()[0]
J_relative = J[:, 1:, :] - tf.gather(J, tf.constant(list(self.parent.values()), tf.int32), axis=1) # batch_size x 23 x 3
J_out = []
J_out.append(tf.expand_dims(J[:, 0, :], axis=-1)) # batch_size x 3 x 1
results = []
results.append(tf.expand_dims(tf.eye(3, dtype=tf.float32), axis=0) + tf.zeros((batch_size, 3, 3), dtype=tf.float32))
for j in range(1, 24):
results.append(tf.matmul(R[:, self.parent[j], :, :], results[self.parent[j]]))
J_out.append(tf.matmul(results[j], tf.expand_dims(J_relative[:, j-1, :], axis=-1)) + J_out[self.parent[j]]) # batch_size x 3 x 1
results = tf.transpose(tf.stack(results, axis=0), [1, 0, 2, 3]) # (batch_size x 24 x 3 x 3)
J_out = tf.transpose(tf.stack(J_out, axis=0), [1, 0, 2, 3]) # (batch_size x 24 x 3 x 1)
results = tf.matmul(R, results)
T = tf.transpose(tf.tensordot(results, weights, axes=((1), (1))), [0, 3, 1, 2]) # (batch_size x 6890 x 3 x 3)
v_posed = tf.expand_dims(v_posed, axis=-1) # (batch_size x 6890 x 3 x 1)
J = tf.expand_dims(J, axis=-1) # (batch_size x 24 x 3 x 1)
v = tf.matmul(T, v_posed) + tf.transpose(tf.tensordot(J_out - tf.matmul(results, J), weights, axes=((1), (1))), [0, 3, 1, 2]) # (batch_size x 6890 x 3 x 1)
v = tf.squeeze(v, -1) # (batch_size x 6890 x 3)
J_out = tf.squeeze(J_out, -1) # (batch_size x 24 x 3)
return v, J_out
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# based on https://github.com/CalciferZh/SMPL/blob/master/smpl_torch_batch.py
import os
import sys
import pickle
import torch
import numpy as np
import scipy.io as sio
from time import time
from torch.nn import Module
class SMPL(Module):
def __init__(self, device=None, path='', orig_smpl=False, is_skirt=False):
super(SMPL, self).__init__()
self.J_regressor = []
self.v_template = []
self.shapedirs = []
self.posedirs = []
self.weights = []
self.is_skirt = is_skirt
# Load SMPL models
# path = os.path.abspath(os.path.dirname(__file__))
with open(os.path.join(path, 'super_model_f.pkl'), 'rb') as f:
female = pickle.load(f, encoding="latin1")
self.J_regressor.append(torch.tensor(np.array(female['J_regressor'].todense(), dtype=np.float32)))
self.v_template.append(torch.tensor(female['v_template'], dtype=torch.float32))
self.posedirs.append(torch.tensor(female['posedirs'], dtype=torch.float32))
self.shapedirs.append(torch.tensor(female['shapedirs'], dtype=torch.float32))
self.weights.append(torch.tensor(female['weights'], dtype=torch.float32))
with open(os.path.join(path, 'super_model_m.pkl'), 'rb') as f:
male = pickle.load(f, encoding="latin1")
self.J_regressor.append(torch.tensor(np.array(male['J_regressor'].todense(), dtype=np.float32)))
self.v_template.append(torch.tensor(male['v_template'], dtype=torch.float32))
self.posedirs.append(torch.tensor(male['posedirs'], dtype=torch.float32))
self.shapedirs.append(torch.tensor(male['shapedirs'], dtype=torch.float32))
self.weights.append(torch.tensor(male['weights'], dtype=torch.float32))
kintree_table = male['kintree_table']
id_to_col = {kintree_table[1, i]: i for i in range(kintree_table.shape[1])}
self.parent = {i: id_to_col[kintree_table[0, i]] for i in range(1, kintree_table.shape[1])}
self.J_regressor = torch.stack(self.J_regressor, axis=0).to(device)
self.v_template = torch.stack(self.v_template, axis=0).to(device)
self.shapedirs = torch.stack(self.shapedirs, axis=0).to(device)
self.posedirs = torch.stack(self.posedirs, axis=0).to(device)
self.weights = torch.stack(self.weights, axis=0).to(device)
# Topology no head/hands/feet
F = sio.loadmat(os.path.join(path, 'ssmpl_faces.mat'))
self.f = np.array(F['faces_default'])
self.f_skirt = np.array(F['faces_skirt'])
self.nn = np.array(sio.loadmat(os.path.join(path, 'NN.mat')))
self.to_keep = sio.loadmat(os.path.join(path, 'keep_remove.mat'))['keep'].reshape(-1)
self.weights_all = self.weights
self.weights = self.weights[:,self.to_keep,:]
self.shape = (1,27578,3)
self.device = device
if orig_smpl:
self.to_keep = self.to_keep[self.to_keep < 6890]
self.J_regressor = self.J_regressor[:,:,:6890]
self.v_template = self.v_template[:,:6890,:]
self.shapedirs = self.shapedirs[:,:6890,:,:]
self.posedirs = self.posedirs[:,:6890,:,:]
self.weights_all = self.weights_all[:,:6890,:]
self.weights = self.weights_all[:,self.to_keep,:]
self.shape = (1, 6890, 3)
@staticmethod
def rodrigues(r):
"""
Rodrigues' rotation formula that turns axis-angle tensor into rotation
matrix in a batch-ed manner.
Parameter:
----------
r: Axis-angle rotation tensor of shape [batch_size * angle_num, 1, 3].
Return:
-------
Rotation matrix of shape [batch_size * angle_num, 3, 3].
"""
# eps = r.clone().normal_(std=1e-8)
# theta = torch.norm(r + eps, dim=(1, 2), keepdim=True) # dim cannot be tuple
theta = torch.norm(r, dim=(1, 2), keepdim=True)
theta = torch.maximum(theta, torch.ones_like(theta) * np.finfo(np.float32).eps)
theta_dim = theta.shape[0]
r_hat = r / theta
# cos = torch.cos(theta)
z_stick = torch.zeros(theta_dim, dtype=torch.float32).to(r.device)
m = torch.stack(
(z_stick, -r_hat[:, 0, 2], r_hat[:, 0, 1], r_hat[:, 0, 2], z_stick,
-r_hat[:, 0, 0], -r_hat[:, 0, 1], r_hat[:, 0, 0], z_stick), dim=1)
m = torch.reshape(m, (-1, 3, 3))
i_cube = (torch.eye(3, dtype=torch.float32).unsqueeze(dim=0) \
+ torch.zeros((theta_dim, 3, 3), dtype=torch.float32)).to(r.device)
A = r_hat.permute(0, 2, 1)
# dot = torch.matmul(A, r_hat)
# R = cos * i_cube + (1 - cos) * dot + torch.sin(theta) * m
R = i_cube + m * torch.sin(theta) + torch.matmul(m, m) * (1 - torch.cos(theta))
return R
@staticmethod
def with_zeros(x):
"""
Append a [0, 0, 0, 1] tensor to a [3, 4] tensor.
Parameter:
---------
x: Tensor to be appended.
Return:
------
Tensor after appending of shape [4,4]
"""
ones = torch.tensor(
[[[0.0, 0.0, 0.0, 1.0]]], dtype=torch.float32
).expand(x.shape[0],-1,-1).to(x.device)
ret = torch.cat((x, ones), dim=1)
return ret
@staticmethod
def pack(x):
"""
Append zero tensors of shape [4, 3] to a batch of [4, 1] shape tensor.
Parameter:
----------
x: A tensor of shape [batch_size, 4, 1]
Return:
------
A tensor of shape [batch_size, 4, 4] after appending.
"""
zeros43 = torch.zeros(
(x.shape[0], x.shape[1], 4, 3), dtype=torch.float32).to(x.device)
ret = torch.cat((zeros43, x), dim=3)
return ret
def forward(self, pose, betas, verts: torch.Tensor = None, remove: bool = True):
"""
Construct a compute graph that takes in parameters and outputs a tensor as
model vertices. Face indices are also returned as a numpy ndarray.
20190128: Add batch support.
Parameters:
---------
pose: Also known as 'theta', an [N, 24, 3] tensor indicating child joint rotation
relative to parent joint. For root joint it's global orientation.
Represented in a axis-angle format.
betas: Parameter for model shape. A tensor of shape [N, 10] as coefficients of
PCA components. Only 10 components were released by SMPL author.
trans: Global translation tensor of shape [N, 3].
Return:
------
A 3-D tensor of [N * 6890 * 3] for vertices,
and the corresponding [N * 19 * 3] joint positions.
"""
batch_num = betas.shape[0]
# v_shaped = torch.tensordot(betas, self.shapedirs, dims=([1], [2])) + self.v_template
v_shaped = []
v_shaped.append(torch.tensordot(betas[:,:10], self.shapedirs[0], dims=[[1], [2]]) + torch.reshape(self.v_template[0], shape=self.shape)) # female
v_shaped.append(torch.tensordot(betas[:,:10], self.shapedirs[1], dims=[[1], [2]]) + torch.reshape(self.v_template[1], shape=self.shape)) # male
v_shaped = torch.stack(v_shaped, axis=-1)
# J = torch.matmul(self.J_regressor, v_shaped)
J = torch.stack([torch.matmul(self.J_regressor[g.to(torch.long)], v_shaped[i, :, :, g.to(torch.long)]) for i, g in enumerate(betas[:,-1])])
R_cube_big = self.rodrigues(pose.reshape(-1, 1, 3)).reshape(batch_num, -1, 3, 3)
if verts is not None:
v_posed = verts
else:
R_cube = R_cube_big[:, 1:, :, :]
I_cube = (torch.eye(3, dtype=torch.float32).unsqueeze(dim=0) + \
torch.zeros((batch_num, R_cube.shape[1], 3, 3), dtype=torch.float32)).to(self.device)
lrotmin = (R_cube - I_cube).reshape(batch_num, -1, 1).squeeze(dim=2)
v_posed = torch.stack([v_shaped[i, :, :, g.to(torch.long)] + torch.tensordot(lrotmin[i], self.posedirs[g.to(torch.long)], dims=([0], [2])) for i, g in enumerate(betas[:,-1])])
results = []
results.append(
self.with_zeros(torch.cat((R_cube_big[:, 0], torch.reshape(J[:, 0, :], (-1, 3, 1))), dim=2))
)
for i in range(1, 24):
results.append(
torch.matmul(
results[self.parent[i]],
self.with_zeros(
torch.cat(
(R_cube_big[:, i], torch.reshape(J[:, i, :] - J[:, self.parent[i], :], (-1, 3, 1))),
dim=2
)
)
)
)
stacked = torch.stack(results, dim=1)
results = stacked - \
self.pack(
torch.matmul(
stacked,
torch.reshape(
torch.cat((J, torch.zeros((batch_num, 24, 1), dtype=torch.float32).to(self.device)), dim=2),
(batch_num, 24, 4, 1)
)
)
)
joints = torch.matmul(results, torch.transpose(torch.concat([J, torch.ones((J.shape[0], 24, 1), dtype=torch.float32, device=J.get_device())], axis=-1)[:,:,None,:],2,3))[:,:,:3,0]
T = torch.stack([torch.tensordot(results[i], self.weights[g.to(torch.long)], dims=([0], [1])).permute(2, 0, 1) for i, g in enumerate(betas[:,-1])])
rest_shape_h = torch.cat(
(v_posed, torch.ones((batch_num, v_posed.shape[1], 1), dtype=torch.float32).to(self.device)), dim=2
)
v = torch.matmul(T, torch.reshape(rest_shape_h, (batch_num, -1, 4, 1)))
v = torch.reshape(v, (batch_num, -1, 4))[:, :, :3]
result = v
root_joint = torch.reshape(joints[:,0,:], (-1, 1, 3))
result = result - root_joint
joints = joints - root_joint
if remove and verts is None:
result = result[:,self.to_keep,:]
return result, joints