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import copy
import os
import pickle
from pathlib import Path
from functools import partial
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
from einops import reduce
from p_tqdm import p_map
from pytorch3d.transforms import (axis_angle_to_quaternion,
quaternion_to_axis_angle)
from tqdm import tqdm
from dataset.quaternion import ax_from_6v, quat_slerp
from vis import skeleton_render
from vis import SMPLX_Skeleton
from dataset.preprocess import My_Normalizer as Normalizer
from .utils import extract, make_beta_schedule
def identity(t, *args, **kwargs):
return t
class EMA:
def __init__(self, beta):
super().__init__()
self.beta = beta
def update_model_average(self, ma_model, current_model):
for current_params, ma_params in zip(
current_model.parameters(), ma_model.parameters()
):
old_weight, up_weight = ma_params.data, current_params.data
ma_params.data = self.update_average(old_weight, up_weight)
def update_average(self, old, new):
if old is None:
return new
return old * self.beta + (1 - self.beta) * new
class GaussianDiffusion(nn.Module):
def __init__(
self,
model,
opt,
horizon,
repr_dim,
smplx_model,
n_timestep=1000,
schedule="linear",
loss_type="l1",
clip_denoised=True,
predict_epsilon=True,
guidance_weight=3,
use_p2=False,
cond_drop_prob=0.2,
do_normalize=False,
):
super().__init__()
self.horizon = horizon
self.transition_dim = repr_dim
self.model = model
self.ema = EMA(0.9999)
self.master_model = copy.deepcopy(self.model)
self.normalizer = None
self.do_normalize = do_normalize
self.opt = opt
self.cond_drop_prob = cond_drop_prob
# make a SMPL instance for FK module
self.smplx_fk = smplx_model
betas = torch.Tensor(
make_beta_schedule(schedule=schedule, n_timestep=n_timestep)
)
alphas = 1.0 - betas
alphas_cumprod = torch.cumprod(alphas, axis=0)
alphas_cumprod_prev = torch.cat([torch.ones(1), alphas_cumprod[:-1]])
self.n_timestep = int(n_timestep)
self.clip_denoised = clip_denoised
self.predict_epsilon = predict_epsilon
self.register_buffer("betas", betas)
self.register_buffer("alphas_cumprod", alphas_cumprod)
self.register_buffer("alphas_cumprod_prev", alphas_cumprod_prev)
self.guidance_weight = guidance_weight
# calculations for diffusion q(x_t | x_{t-1}) and others
self.register_buffer("sqrt_alphas_cumprod", torch.sqrt(alphas_cumprod))
self.register_buffer(
"sqrt_one_minus_alphas_cumprod", torch.sqrt(1.0 - alphas_cumprod)
)
self.register_buffer(
"log_one_minus_alphas_cumprod", torch.log(1.0 - alphas_cumprod)
)
self.register_buffer(
"sqrt_recip_alphas_cumprod", torch.sqrt(1.0 / alphas_cumprod)
)
self.register_buffer(
"sqrt_recipm1_alphas_cumprod", torch.sqrt(1.0 / alphas_cumprod - 1)
)
# calculations for posterior q(x_{t-1} | x_t, x_0)
posterior_variance = (
betas * (1.0 - alphas_cumprod_prev) / (1.0 - alphas_cumprod)
)
self.register_buffer("posterior_variance", posterior_variance)
## log calculation clipped because the posterior variance
## is 0 at the beginning of the diffusion chain
self.register_buffer(
"posterior_log_variance_clipped",
torch.log(torch.clamp(posterior_variance, min=1e-20)),
)
self.register_buffer(
"posterior_mean_coef1",
betas * np.sqrt(alphas_cumprod_prev) / (1.0 - alphas_cumprod),
)
self.register_buffer(
"posterior_mean_coef2",
(1.0 - alphas_cumprod_prev) * np.sqrt(alphas) / (1.0 - alphas_cumprod),
)
# p2 weighting
self.p2_loss_weight_k = 1
self.p2_loss_weight_gamma = 0.5 if use_p2 else 0
self.register_buffer(
"p2_loss_weight",
(self.p2_loss_weight_k + alphas_cumprod / (1 - alphas_cumprod))
** -self.p2_loss_weight_gamma,
)
## get loss coefficients and initialize objective
self.loss_fn = F.mse_loss if loss_type == "l2" else F.l1_loss
# ------------------------------------------ sampling ------------------------------------------#
def predict_start_from_noise(self, x_t, t, noise):
"""
if self.predict_epsilon, model output is (scaled) noise;
otherwise, model predicts x0 directly
"""
if self.predict_epsilon:
return (
extract(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t
- extract(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape) * noise
)
else:
return noise
def predict_noise_from_start(self, x_t, t, x0):
return (
(extract(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t - x0) / \
extract(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape)
)
def model_predictions(self, x, cond, t, weight=None, clip_x_start = False):
weight = weight if weight is not None else self.guidance_weight
model_output = self.model.guided_forward(x, cond, t, weight)
maybe_clip = partial(torch.clamp, min = -1., max = 1.) if clip_x_start else identity
x_start = model_output
x_start = maybe_clip(x_start)
pred_noise = self.predict_noise_from_start(x, t, x_start)
return pred_noise, x_start
def q_posterior(self, x_start, x_t, t):
posterior_mean = (
extract(self.posterior_mean_coef1, t, x_t.shape) * x_start
+ extract(self.posterior_mean_coef2, t, x_t.shape) * x_t
)
posterior_variance = extract(self.posterior_variance, t, x_t.shape)
posterior_log_variance_clipped = extract(
self.posterior_log_variance_clipped, t, x_t.shape
)
return posterior_mean, posterior_variance, posterior_log_variance_clipped
def p_mean_variance(self, x, cond, t):
# guidance clipping
if t[0] > 1.0 * self.n_timestep:
weight = min(self.guidance_weight, 0)
elif t[0] < 0.1 * self.n_timestep:
weight = min(self.guidance_weight, 1)
else:
weight = self.guidance_weight
x_recon = self.predict_start_from_noise(
x, t=t, noise=self.model.guided_forward(x, cond, t, weight)
)
if self.clip_denoised:
x_recon.clamp_(-1.0, 1.0)
else:
assert RuntimeError()
model_mean, posterior_variance, posterior_log_variance = self.q_posterior(
x_start=x_recon, x_t=x, t=t
)
return model_mean, posterior_variance, posterior_log_variance, x_recon
@torch.no_grad()
def p_sample(self, x, cond, t):
b, *_, device = *x.shape, x.device
model_mean, _, model_log_variance, x_start = self.p_mean_variance(
x=x, cond=cond, t=t
)
noise = torch.randn_like(model_mean)
# no noise when t == 0
nonzero_mask = (1 - (t == 0).float()).reshape(
b, *((1,) * (len(noise.shape) - 1))
)
x_out = model_mean + nonzero_mask * (0.5 * model_log_variance).exp() * noise
return x_out, x_start
@torch.no_grad()
def p_sample_loop(
self,
shape,
cond,
noise=None,
constraint=None,
return_diffusion=False,
start_point=None,
):
device = self.betas.device
# default to diffusion over whole timescale
start_point = self.n_timestep if start_point is None else start_point
batch_size = shape[0]
x = torch.randn(shape, device=device) if noise is None else noise.to(device)
cond = cond.to(device)
if return_diffusion:
diffusion = [x]
for i in tqdm(reversed(range(0, start_point))):
# fill with i
timesteps = torch.full((batch_size,), i, device=device, dtype=torch.long)
x, _ = self.p_sample(x, cond, timesteps)
if return_diffusion:
diffusion.append(x)
if return_diffusion:
return x, diffusion
else:
return x
@torch.no_grad()
def ddim_sample(self, shape, cond, **kwargs):
batch, device, total_timesteps, sampling_timesteps, eta = shape[0], self.betas.device, self.n_timestep, 50, 1
times = torch.linspace(-1, total_timesteps - 1, steps=sampling_timesteps + 1) # [-1, 0, 1, 2, ..., T-1] when sampling_timesteps == total_timesteps
times = list(reversed(times.int().tolist()))
time_pairs = list(zip(times[:-1], times[1:])) # [(T-1, T-2), (T-2, T-3), ..., (1, 0), (0, -1)]
x = torch.randn(shape, device = device)
cond = cond.to(device)
x_start = None
for time, time_next in tqdm(time_pairs, desc = 'sampling loop time step'):
time_cond = torch.full((batch,), time, device=device, dtype=torch.long)
pred_noise, x_start, *_ = self.model_predictions(x, cond, time_cond, clip_x_start = self.clip_denoised)
if time_next < 0:
x = x_start
continue
alpha = self.alphas_cumprod[time]
alpha_next = self.alphas_cumprod[time_next]
sigma = eta * ((1 - alpha / alpha_next) * (1 - alpha_next) / (1 - alpha)).sqrt()
c = (1 - alpha_next - sigma ** 2).sqrt()
noise = torch.randn_like(x)
x = x_start * alpha_next.sqrt() + \
c * pred_noise + \
sigma * noise
return x
@torch.no_grad()
def long_ddim_sample(self, shape, cond, **kwargs):
batch, device, total_timesteps, sampling_timesteps, eta = shape[0], self.betas.device, self.n_timestep, 50, 1
if batch == 1:
return self.ddim_sample(shape, cond)
times = torch.linspace(-1, total_timesteps - 1, steps=sampling_timesteps + 1) # [-1, 0, 1, 2, ..., T-1] when sampling_timesteps == total_timesteps
times = list(reversed(times.int().tolist()))
weights = np.clip(np.linspace(0, self.guidance_weight * 2, sampling_timesteps), None, self.guidance_weight)
time_pairs = list(zip(times[:-1], times[1:], weights)) # [(T-1, T-2), (T-2, T-3), ..., (1, 0), (0, -1)]
x = torch.randn(shape, device = device)
cond = cond.to(device)
assert batch > 1
assert x.shape[1] % 2 == 0
half = x.shape[1] // 2
x_start = None
for time, time_next, weight in tqdm(time_pairs, desc = 'sampling loop time step'):
time_cond = torch.full((batch,), time, device=device, dtype=torch.long)
pred_noise, x_start, *_ = self.model_predictions(x, cond, time_cond, weight=weight, clip_x_start = self.clip_denoised)
if time_next < 0:
x = x_start
continue
alpha = self.alphas_cumprod[time]
alpha_next = self.alphas_cumprod[time_next]
sigma = eta * ((1 - alpha / alpha_next) * (1 - alpha_next) / (1 - alpha)).sqrt()
c = (1 - alpha_next - sigma ** 2).sqrt()
noise = torch.randn_like(x)
x = x_start * alpha_next.sqrt() + \
c * pred_noise + \
sigma * noise
if time > 0:
# the first half of each sequence is the second half of the previous one
x[1:, :half] = x[:-1, half:]
return x
@torch.no_grad()
def inpaint_loop(
self,
shape,
cond,
noise=None,
constraint=None,
return_diffusion=False,
start_point=None,
):
device = self.betas.device
batch_size = shape[0]
x = torch.randn(shape, device=device) if noise is None else noise.to(device)
cond = cond.to(device)
if return_diffusion:
diffusion = [x]
mask = constraint["mask"].to(device) # batch x horizon x channels
value = constraint["value"].to(device) # batch x horizon x channels
start_point = self.n_timestep if start_point is None else start_point
for i in tqdm(reversed(range(0, start_point))):
# fill with i
timesteps = torch.full((batch_size,), i, device=device, dtype=torch.long)
# sample x from step i to step i-1
x, _ = self.p_sample(x, cond, timesteps)
# enforce constraint between each denoising step
value_ = self.q_sample(value, timesteps - 1) if (i > 0) else x
x = value_ * mask + (1.0 - mask) * x
if return_diffusion:
diffusion.append(x)
if return_diffusion:
return x, diffusion
else:
return x
@torch.no_grad()
def long_inpaint_loop(
self,
shape,
cond,
noise=None,
constraint=None,
return_diffusion=False,
start_point=None,
):
device = self.betas.device
batch_size = shape[0]
x = torch.randn(shape, device=device) if noise is None else noise.to(device)
cond = cond.to(device)
if return_diffusion:
diffusion = [x]
assert x.shape[1] % 2 == 0
if batch_size == 1:
# there's no continuation to do, just do normal
return self.p_sample_loop(
shape,
cond,
noise=noise,
constraint=constraint,
return_diffusion=return_diffusion,
start_point=start_point,
)
assert batch_size > 1
half = x.shape[1] // 2
start_point = self.n_timestep if start_point is None else start_point
for i in tqdm(reversed(range(0, start_point))):
# fill with i
timesteps = torch.full((batch_size,), i, device=device, dtype=torch.long)
# sample x from step i to step i-1
x, _ = self.p_sample(x, cond, timesteps)
# enforce constraint between each denoising step
if i > 0:
# the first half of each sequence is the second half of the previous one
x[1:, :half] = x[:-1, half:]
if return_diffusion:
diffusion.append(x)
if return_diffusion:
return x, diffusion
else:
return x
@torch.no_grad()
def conditional_sample(
self, shape, cond, constraint=None, *args, horizon=None, **kwargs
):
"""
conditions : [ (time, state), ... ]
"""
device = self.betas.device
horizon = horizon or self.horizon
return self.p_sample_loop(shape, cond, *args, **kwargs)
# ------------------------------------------ training ------------------------------------------#
def q_sample(self, x_start, t, noise=None):
if noise is None:
noise = torch.randn_like(x_start)
sample = (
extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start
+ extract(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape) * noise
)
return sample
def p_losses(self, x_start, cond, t):
noise = torch.randn_like(x_start)
x_noisy = self.q_sample(x_start=x_start, t=t, noise=noise) # 将x0加噪到xt
# reconstruct
x_recon = self.model(x_noisy, cond, t, cond_drop_prob=self.cond_drop_prob)
assert noise.shape == x_recon.shape
model_out = x_recon
if self.predict_epsilon:
target = noise
else:
target = x_start
# full reconstruction loss
loss = self.loss_fn(model_out, target, reduction="none") # mse loss
loss = reduce(loss, "b ... -> b (...)", "mean")
loss = loss * extract(self.p2_loss_weight, t, loss.shape)
# split off contact from the rest
_, model_out_ = torch.split(
model_out, (4, model_out.shape[2] - 4), dim=2 # 前4维是foot contact
)
_, target_ = torch.split(target, (4, target.shape[2] - 4), dim=2) # b, length, jxc
# velocity loss
target_v = target_[:, 1:] - target_[:, :-1]
model_out_v = model_out_[:, 1:] - model_out_[:, :-1]
v_loss = self.loss_fn(model_out_v, target_v, reduction="none")
v_loss = reduce(v_loss, "b ... -> b (...)", "mean")
v_loss = v_loss * extract(self.p2_loss_weight, t, v_loss.shape)
# FK loss
b, s, c = model_out.shape
model_contact, model_out = torch.split(model_out, (4, model_out.shape[2] - 4), dim=2)
target_contact, target = torch.split(target, (4, target.shape[2] - 4), dim=2) # b, length, jxc
model_x = model_out[:, :, :3] # root position
model_q = ax_from_6v(model_out[:, :, 3:].reshape(b, s, -1, 6))
target_x = target[:, :, :3]
target_q = ax_from_6v(target[:, :, 3:].reshape(b, s, -1, 6))
b, s, nums, c_ = model_q.shape
if self.opt.nfeats == 139 or self.opt.nfeats==135:
model_xp = self.smplx_fk.forward(model_q, model_x)
target_xp = self.smplx_fk.forward(target_q, target_x)
else:
model_q = model_q.view(b*s, -1)
target_q = target_q.view(b*s, -1)
model_x = model_x.view(-1, 3)
target_x = target_x.view(-1, 3)
model_xp = self.smplx_fk.forward(model_q, model_x)
target_xp = self.smplx_fk.forward(target_q, target_x)
model_xp = model_xp.view(b, s, -1, 3)
target_xp = target_xp.view(b, s, -1, 3)
fk_loss = self.loss_fn(model_xp, target_xp, reduction="none")
fk_loss = reduce(fk_loss, "b ... -> b (...)", "mean")
fk_loss = fk_loss * extract(self.p2_loss_weight, t, fk_loss.shape)
# foot skate loss
foot_idx = [7, 8, 10, 11]
# find static indices consistent with model's own predictions
static_idx = model_contact > 0.95 # N x S x 4
model_feet = model_xp[:, :, foot_idx] # foot positions (N, S, 4, 3)
model_foot_v = torch.zeros_like(model_feet)
model_foot_v[:, :-1] = (
model_feet[:, 1:, :, :] - model_feet[:, :-1, :, :]
) # (N, S-1, 4, 3)
model_foot_v[~static_idx] = 0
foot_loss = self.loss_fn(
model_foot_v, torch.zeros_like(model_foot_v), reduction="none"
)
foot_loss = reduce(foot_loss, "b ... -> b (...)", "mean")
losses = (
0.636 * loss.mean(),
2.964 * v_loss.mean(),
0.646 * fk_loss.mean(),
10.942 * foot_loss.mean(),
)
return sum(losses), losses
def loss(self, x, cond, t_override=None):
batch_size = len(x)
if t_override is None:
t = torch.randint(0, self.n_timestep, (batch_size,), device=x.device).long()
else:
t = torch.full((batch_size,), t_override, device=x.device).long()
return self.p_losses(x, cond, t)
def forward(self, x, cond, t_override=None):
return self.loss(x, cond, t_override)
def partial_denoise(self, x, cond, t):
x_noisy = self.noise_to_t(x, t)
return self.p_sample_loop(x.shape, cond, noise=x_noisy, start_point=t)
def noise_to_t(self, x, timestep):
batch_size = len(x)
t = torch.full((batch_size,), timestep, device=x.device).long()
return self.q_sample(x, t) if timestep > 0 else x
def smplxmodel_fk(self, local_q, root_pos): # input
b, s, nums, c = local_q.shape
local_q = local_q.view(b*s, -1)
full_pose = self.smplx_model(
betas = torch.zeros([b*s, 10], device=local_q.device, dtype=torch.float32),
transl = root_pos.view(b*s, -1), # global translation
global_orient = local_q[:, :3],
body_pose = local_q[:, 3:66], # 21
jaw_pose = torch.zeros([b*s, 3], device=local_q.device, dtype=torch.float32), # 1
leye_pose = torch.zeros([b*s, 3], device=local_q.device, dtype=torch.float32), # 1
reye_pose= torch.zeros([b*s, 3], device=local_q.device, dtype=torch.float32), # 1
left_hand_pose = local_q[:, 66:111], # 15
right_hand_pose = local_q[:, 111:], # 15
expression = torch.zeros([b*s, 10], device=local_q.device, dtype=torch.float32),
return_verts = False
)
full_pose = full_pose.joints.view(b, s, -1, 3) # b, s, 55, 3
return full_pose
def render_sample(
self,
shape,
cond,
normalizer,
epoch,
render_out,
fk_out=None,
name=None,
sound=True,
mode="normal",
noise=None,
constraint=None,
sound_folder="ood_sliced",
start_point=None,
render=True,
# do_normalize=True,
):
if isinstance(shape, tuple):
if mode == "inpaint":
func_class = self.inpaint_loop
elif mode == "normal":
func_class = self.ddim_sample
elif mode == "long":
func_class = self.long_ddim_sample
else:
assert False, "Unrecognized inference mode"
samples = (
func_class(
shape,
cond,
noise=noise,
constraint=constraint,
start_point=start_point,
)
.detach()
.cpu()
)
else:
samples = shape
if self.do_normalize:
with torch.no_grad():
samples = normalizer.unnormalize(samples)
if samples.shape[2] == 319 or samples.shape[2] == 151 or samples.shape[2] == 139: # debug if samples.shape[2] == 151:
sample_contact, samples = torch.split(
samples, (4, samples.shape[2] - 4), dim=2
)
else:
sample_contact = None
# do the FK all at once
b, s, c = samples.shape
pos = samples[:, :, :3].to(cond.device) # np.zeros((sample.shape[0], 3))
q = samples[:, :, 3:].reshape(b, s, -1, 6) # debug 24
# go 6d to ax
q = ax_from_6v(q).to(cond.device)
if self.opt.nfeats == 139 or self.opt.nfeats==135:
reshape_size = 66
else:
reshape_size = 156
if mode == "long":
b, s, c1, c2 = q.shape
assert s % 2 == 0
half = s // 2
if b > 1:
# if long mode, stitch position using linear interp
fade_out = torch.ones((1, s, 1)).to(pos.device)
fade_in = torch.ones((1, s, 1)).to(pos.device)
fade_out[:, half:, :] = torch.linspace(1, 0, half)[None, :, None].to(
pos.device
)
fade_in[:, :half, :] = torch.linspace(0, 1, half)[None, :, None].to(
pos.device
)
pos[:-1] *= fade_out
pos[1:] *= fade_in
full_pos = torch.zeros((s + half * (b - 1), 3)).to(pos.device)
idx = 0
for pos_slice in pos:
full_pos[idx : idx + s] += pos_slice
idx += half
# stitch joint angles with slerp
slerp_weight = torch.linspace(0, 1, half)[None, :, None].to(pos.device)
left, right = q[:-1, half:], q[1:, :half]
# convert to quat
left, right = (
axis_angle_to_quaternion(left),
axis_angle_to_quaternion(right),
)
merged = quat_slerp(left, right, slerp_weight) # (b-1) x half x ...
# convert back
merged = quaternion_to_axis_angle(merged)
full_q = torch.zeros((s + half * (b - 1), c1, c2)).to(pos.device)
full_q[:half] += q[0, :half]
idx = half
for q_slice in merged:
full_q[idx : idx + half] += q_slice
idx += half
full_q[idx : idx + half] += q[-1, half:]
# unsqueeze for fk
full_pos = full_pos.unsqueeze(0)
full_q = full_q.unsqueeze(0)
else:
full_pos = pos
full_q = q
if fk_out is not None:
outname = f'{epoch}_{"_".join(os.path.splitext(os.path.basename(name[0]))[0].split("_")[:-1])}.pkl' # f'{epoch}_{"_".join(name)}.pkl' #
Path(fk_out).mkdir(parents=True, exist_ok=True)
pickle.dump(
{
"smpl_poses": full_q.squeeze(0).reshape((-1, reshape_size)).cpu().numpy(), # local rotations
"smpl_trans": full_pos.squeeze(0).cpu().numpy(), # root translation
# "full_pose": full_pose[0], # 3d positions
},
open(os.path.join(fk_out, outname), "wb"),
)
return
sample_contact = (
sample_contact.detach().cpu().numpy()
if sample_contact is not None
else None
)
def inner(xx):
num, pose = xx
filename = name[num] if name is not None else None
contact = sample_contact[num] if sample_contact is not None else None
skeleton_render(
pose,
epoch=f"e{epoch}_b{num}",
out=render_out,
name=filename,
sound=sound,
contact=contact,
)
# p_map(inner, enumerate(poses)) # poses: 2, 150, 52, 3
# print("4")
if fk_out is not None and mode != "long":
Path(fk_out).mkdir(parents=True, exist_ok=True)
# for num, (qq, pos_, filename, pose) in enumerate(zip(q, pos, name, poses)):
for num, (qq, pos_, filename) in enumerate(zip(q, pos, name)):
filename = os.path.basename(filename).split(".")[0]
outname = f"{epoch}_{num}_{filename}.pkl"
pickle.dump(
{
"smpl_poses": qq.reshape((-1, reshape_size)).cpu().numpy(),
"smpl_trans": pos_.cpu().numpy(),
# "full_pose": pose,
},
open(f"{fk_out}/{outname}", "wb"),
)
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