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Viewpoint Evaluation Hook for Harmon Training.
Performs viewpoint-conditioned image generation at regular intervals during training
to visualize and evaluate model progress.
"""
import os
import re
import torch
import numpy as np
from PIL import Image
from typing import List, Optional, Union
from mmengine.hooks import Hook
from mmengine.registry import HOOKS
from mmengine.model import is_model_wrapper
from mmengine.dist import master_only
import torch.distributed as dist
from src.datasets.camera_utils import CameraTransformUtils, compute_angular_offset
try:
import wandb
HAS_WANDB = True
except ImportError:
HAS_WANDB = False
@HOOKS.register_module()
class ViewpointEvaluationHook(Hook):
"""
Hook to evaluate viewpoint-conditioned image generation during training.
Generates images for a grid of viewpoint angles (azimuth × elevation)
and saves them to visualize training progress.
Args:
interval (int): Evaluate every N training iterations. Default: 1000
prompts (Union[str, List[str]]): Text prompt(s) for image generation.
Can be a single string or list of strings. Default: ["a 3D object"]
prompt (str, optional): Deprecated. Use 'prompts' instead for backward compatibility.
azimuths (List[float]): List of azimuth angles in degrees.
Default: [0, 45, 90, 135, 180, 225, 270, 315]
elevations (List[float]): List of elevation angles in degrees.
Default: [10, 30]
radius (float): Camera distance from origin for camera matrix creation. Default: 5.0
num_iter (int): Number of sampling iterations for generation. Default: 64
cfg (float): Classifier-free guidance scale. Default: 3.0
temperature (float): Sampling temperature. Default: 1.0
save_individual (bool): Whether to save individual images. Default: True
front_bg_indicator (bool): If True, add "real background" to prompts. Default: False
"""
priority = 'NORMAL'
def __init__(self,
interval: int = 1000,
prompts: Optional[Union[str, List[str]]] = None,
prompt: Optional[str] = None, # Backward compatibility
azimuths: List[float] = [0, 45, 90, 135, 180, 225, 270, 315],
elevations: List[float] = [10, 30],
radius: float = 5.0,
num_iter: int = 64,
cfg: float = 3.0,
temperature: float = 1.0,
save_individual: bool = True,
num_view_tokens: int = 2,
viewpoint_param_type: str = 'spherical',
view_token_placement: str = 'surround',
front_bg_indicator: bool = False,
dtype: torch.dtype = torch.bfloat16):
super().__init__()
self.interval = interval
self.viewpoint_param_type = viewpoint_param_type
self.num_view_tokens = num_view_tokens
self.dtype = dtype
self.front_bg_indicator = front_bg_indicator
# Validate and store view token placement
if view_token_placement not in ['surround', 'front', 'random']:
raise ValueError(f"view_token_placement must be 'surround', 'front' or 'random', got '{view_token_placement}'")
self.view_token_placement = view_token_placement
# Handle backward compatibility: prompt vs prompts
if prompts is not None:
# Convert single string to list if needed
self.prompts = [prompts] if isinstance(prompts, str) else prompts
elif prompt is not None:
# Backward compatibility with old 'prompt' parameter
self.prompts = [prompt]
else:
# Default value
self.prompts = ["a 3D object"]
# Determine object counts from prompt format
# String: 1 object (e.g., 'lion')
# List: N objects (e.g., ['lion', 'girl'])
self.object_counts = []
for p in self.prompts:
if isinstance(p, list):
self.object_counts.append(len(p))
else:
self.object_counts.append(1)
self.azimuths = azimuths
self.elevations = elevations
self.radius = radius
self.num_iter = num_iter
self.cfg = cfg
self.temperature = temperature
self.save_individual = save_individual
def after_train_iter(self, runner, batch_idx: int, data_batch=None, outputs=None):
"""Called after every training iteration."""
if self.every_n_train_iters(runner, self.interval):
self._run_evaluation(runner)
# Barrier so non-master ranks wait for rank 0 to finish eval.
if dist.is_initialized():
dist.barrier()
def _sanitize_prompt_name(self, prompt: str, max_length: int = 50) -> str:
"""
Convert prompt to a valid filename.
Args:
prompt: Text prompt
max_length: Maximum length of the sanitized name
Returns:
Sanitized filename-safe string
"""
# Convert to lowercase and replace spaces with underscores
sanitized = prompt.lower().replace(' ', '_')
# Keep only alphanumeric characters and underscores
sanitized = re.sub(r'[^a-z0-9_]', '', sanitized)
# Truncate to max length
sanitized = sanitized[:max_length]
return sanitized
def _create_camera_matrix(self, azimuth_deg: float, elevation_deg: float, radius: float, target: np.ndarray = None):
"""
Create camera matrix from spherical coordinates.
Args:
azimuth_deg: Azimuth angle in degrees
elevation_deg: Elevation angle in degrees
radius: Distance from origin
Returns:
R: (3, 3) rotation matrix (Blender convention)
T: (3,) translation vector (Blender convention)
"""
azimuth_rad = azimuth_deg * np.pi / 180.0
elevation_rad = elevation_deg * np.pi / 180.0
# Camera position in Blender coordinates
x = radius * np.cos(elevation_rad) * np.cos(azimuth_rad)
y = radius * np.cos(elevation_rad) * np.sin(azimuth_rad)
z = radius * np.sin(elevation_rad)
C = np.array([x, y, z], dtype=np.float32)
# Look-at target (origin)
if target is None:
target = np.array([0, 0, 0], dtype=np.float32)
# Create rotation matrix (Blender convention)
R = CameraTransformUtils.create_lookat_rotation(C, target)
T = -R @ C
return R, T
@master_only
def _run_evaluation(self, runner):
"""Run viewpoint evaluation and save images for all prompts.
Note: Only runs on rank 0 (GPU 0) to avoid redundant computation and file conflicts.
"""
model = runner.model
iteration = runner.iter
work_dir = runner.work_dir
# Create base output directory
base_eval_dir = os.path.join(work_dir, 'eval_images', f'iter_{iteration:06d}')
os.makedirs(base_eval_dir, exist_ok=True)
runner.logger.info(f"\n[ViewpointEvalHook] Running evaluation at iteration {iteration}")
# Detect and log viewpoint parameter type
runner.logger.info(f" Viewpoint param type: {self.viewpoint_param_type}")
runner.logger.info(f" Radius: {self.radius}")
runner.logger.info(f" Number of prompts: {len(self.prompts)}")
runner.logger.info(f" Azimuths: {self.azimuths}")
runner.logger.info(f" Elevations: {self.elevations}")
# Switch to eval mode
model.eval()
# Evaluate each prompt
for prompt_idx, prompt in enumerate(self.prompts):
num_objects = self.object_counts[prompt_idx]
# Convert prompt to string for logging/directory
if isinstance(prompt, list):
prompt_str = ' and '.join(prompt)
else:
prompt_str = prompt
runner.logger.info(f"\n [{prompt_idx + 1}/{len(self.prompts)}] Evaluating prompt: '{prompt_str}' ({num_objects} object(s))")
# Create prompt-specific directory
prompt_name = self._sanitize_prompt_name(prompt_str)
prompt_dir = os.path.join(base_eval_dir, prompt_name)
os.makedirs(prompt_dir, exist_ok=True)
# Generate images for all viewpoint combinations
all_images = []
for elevation in self.elevations:
row_images = []
for idx, azimuth in enumerate(self.azimuths):
image = self._generate_image(model, prompt, azimuth, elevation, idx)
row_images.append(image)
# Save individual image if requested
if self.save_individual:
img_path = os.path.join(prompt_dir, f'az{int(azimuth):03d}_el{int(elevation):03d}.jpg')
image.save(img_path)
all_images.append(row_images)
# Create and save grid
grid_image = self._create_grid(all_images)
grid_path = os.path.join(prompt_dir, 'grid.jpg')
grid_image.save(grid_path)
# Log to wandb if available
if HAS_WANDB and wandb.run is not None:
wandb.log({
f"eval/{prompt_name}": wandb.Image(grid_image, caption=prompt_str),
}, step=iteration)
runner.logger.info(f" Saved to {prompt_dir}/")
runner.logger.info(f"\n All evaluation images saved to {base_eval_dir}\n")
# Switch back to train mode
model.train()
def _generate_image(self, model, prompt: Union[str, List[str]], azimuth: float, elevation: float, idx=0) -> Image.Image:
"""
Generate a single image for given viewpoint.
Args:
model: Harmon model
prompt: Text description (str for 1 object, List[str] for 2 objects)
azimuth: Azimuth angle in degrees
elevation: Elevation angle in degrees
Returns:
PIL Image
"""
# Detect number of objects from prompt type
num_objects = len(prompt) if isinstance(prompt, list) else 1
with torch.no_grad():
# Unwrap DDP model if needed to access device
actual_model = model.module if is_model_wrapper(model) else model
device = actual_model.device
# Build caption with view tokens
caption_with_tokens = self._build_caption_with_tokens(prompt)
if self.viewpoint_param_type == 'spherical':
# Spherical mode: just azimuth and elevation in radians
azimuth_rad = azimuth * np.pi / 180.0
elevation_rad = elevation * np.pi / 180.0
if num_objects == 1:
viewpoint_params = torch.tensor(
[azimuth_rad, elevation_rad],
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.tensor(
[True, True],
dtype=torch.bool
).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same viewpoint for both objects (flattened: [az1, el1, az2, el2])
viewpoint_params = torch.tensor(
[azimuth_rad, elevation_rad, azimuth_rad, elevation_rad],
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.tensor(
[True, True, True, True],
dtype=torch.bool
).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'azimuth_only':
# Azimuth-only mode: just azimuth in radians (no elevation)
azimuth_rad = azimuth * np.pi / 180.0
if num_objects == 1:
viewpoint_params = torch.tensor(
[azimuth_rad],
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.tensor(
[True],
dtype=torch.bool
).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same azimuth for both objects (flattened: [az1, az2])
viewpoint_params = torch.tensor(
[azimuth_rad, -azimuth_rad],
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.tensor(
[True, True],
dtype=torch.bool
).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'rotation_translation':
# Rotation_translation mode: create camera matrix and compute relative pose
# Create camera matrix for current viewpoint
target = np.array([0.4, 0.0, 0.4], dtype=np.float32)
R, T = self._create_camera_matrix(azimuth, elevation, self.radius, target)
T = T / 7.0
# Convert to 9D rotation representation
rot_9d = R.flatten()
# Concatenate: [rot_9d (9), translation (3)]
viewpoint_params_np = np.concatenate([rot_9d, T])
if num_objects == 1:
viewpoint_params = torch.tensor(
viewpoint_params_np,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(12, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same viewpoint for both objects (flattened: [rot1, trans1, rot2, trans2])
viewpoint_params_np_multi = np.concatenate([viewpoint_params_np, viewpoint_params_np])
viewpoint_params = torch.tensor(
viewpoint_params_np_multi,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(24, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'relative_rotation_translation':
# Rotation_translation mode: create camera matrix and compute relative pose
# Create camera matrix for current viewpoint
target = np.array([0.2, 0.2, 0.2], dtype=np.float32)
R, T = self._create_camera_matrix(azimuth, elevation, self.radius, target)
# Compute default camera (canonical reference)
R_default, T_default = self._create_camera_matrix(0, 0, 4)
# Compute relative pose from default camera
R_rel = R @ R_default.T
T_rel = T - R_rel @ T_default
# Scale translation down for stability
T_rel = T_rel / 7.0
# Convert to 9D rotation representation
rot_9d = R_rel.flatten()
# Concatenate: [rot_9d (9), translation (3)]
viewpoint_params_np = np.concatenate([rot_9d, T_rel])
if num_objects == 1:
viewpoint_params = torch.tensor(
viewpoint_params_np,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(12, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same viewpoint for both objects (flattened: [rot1, trans1, rot2, trans2])
viewpoint_params_np_multi = np.concatenate([viewpoint_params_np, viewpoint_params_np])
viewpoint_params = torch.tensor(
viewpoint_params_np_multi,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(24, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'factorized':
# Factorized mode: azimuth, elevation, radius, pitch, yaw
target = np.array([0.2, 0.2, 0.2], dtype=np.float32)
R, T = self._create_camera_matrix(azimuth, elevation, self.radius, target)
# Compute camera position in world coordinates: C = -R^T @ T
camera_position = -R.T @ T
# Compute radius (distance from origin)
radius = np.linalg.norm(camera_position)
# Normalize radius to [-1, 1] for range [3, 8]
radius_normalized = (radius - 5.5) / 2.5
# Compute pitch and yaw using compute_angular_offset
R_torch = torch.from_numpy(R).float()
T_torch = torch.from_numpy(T).float()
angular_offset = compute_angular_offset(R_torch, T_torch, normalizer=1.0) # normalizer=1.0 since we already computed position
pitch = angular_offset[0].item() # radians
yaw = angular_offset[1].item() # radians
# Convert azimuth and elevation to radians
azimuth_rad = azimuth * np.pi / 180.0
if azimuth_rad > np.pi:
azimuth_rad -= 2 * np.pi # Convert to [-pi, pi]
elevation_rad = elevation * np.pi / 180.0
# Build viewpoint params: [azimuth, elevation, radius_norm, pitch, yaw]
if idx == 0:
pitch = 0.15
yaw = 0.15
elif idx == 1:
pitch = -0.15
yaw = -0.15
elif idx == 2:
pitch = 0.15
yaw = -0.15
elif idx == 3:
pitch = -0.15
yaw = 0.15
else:
pitch = 0.2
yaw = 0.2
viewpoint_params_np = np.array([azimuth_rad, elevation_rad, radius_normalized, pitch, yaw], dtype=np.float32)
if num_objects == 1:
viewpoint_params = torch.tensor(
viewpoint_params_np,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(5, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same viewpoint for both objects (flattened: [az1, el1, r1, p1, y1, az2, el2, r2, p2, y2])
viewpoint_params_np_multi = np.concatenate([viewpoint_params_np, viewpoint_params_np])
viewpoint_params = torch.tensor(
viewpoint_params_np_multi,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(10, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'rotation_factorized':
# Rotation factorized mode: R_rel (9D) + azimuth + elevation + radius
target = np.array([0.3, 0.3, 0.3], dtype=np.float32)
R_actual, T = self._create_camera_matrix(azimuth, elevation, self.radius, target)
# Compute camera position in world coordinates: C = -R^T @ T
camera_position = -R_actual.T @ T
# Compute radius (distance from origin)
radius = np.linalg.norm(camera_position)
# Normalize radius to [-1, 1] for range [3, 8]
radius_normalized = (radius - 5.5) / 2.5
# Create canonical rotation matrix (camera looking at origin from current position)
target_pos = np.array([0.0, 0.0, 0.0], dtype=np.float32)
up_vector = np.array([0.0, 0.0, 1.0], dtype=np.float32)
R_canonical = CameraTransformUtils.create_lookat_rotation(
camera_position, target_pos, up_vector
)
# Compute relative rotation: R_rel = R_canonical.T @ R_actual
R_rel = R_canonical.T @ R_actual
R_rel_9d = R_rel.flatten()
# Convert azimuth and elevation to radians
azimuth_rad = azimuth * np.pi / 180.0
if azimuth_rad > np.pi:
azimuth_rad -= 2 * np.pi # Convert to [-pi, pi]
elevation_rad = elevation * np.pi / 180.0
# Build viewpoint params: [R_rel_9d (9), azimuth, elevation, radius_normalized]
viewpoint_params_np = np.concatenate([R_rel_9d, [azimuth_rad, elevation_rad, radius_normalized]])
if num_objects == 1:
viewpoint_params = torch.tensor(
viewpoint_params_np,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(12, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
# Same viewpoint for both objects (flattened: [R_rel1, az1, el1, r1, R_rel2, az2, el2, r2])
viewpoint_params_np_multi = np.concatenate([viewpoint_params_np, viewpoint_params_np])
viewpoint_params = torch.tensor(
viewpoint_params_np_multi,
dtype=torch.float32
).to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(24, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
elif self.viewpoint_param_type == 'plucker':
# Plucker mode: compute direction and moment from camera matrix
target = np.array([0.2, 0.2, 0.2], dtype=np.float32)
R, T = self._create_camera_matrix(azimuth, elevation, self.radius, target)
# Camera position in world coordinates: o = -R.T @ T
camera_position = -R.T @ T
# Camera viewing direction (forward) = negative of Z axis (row 2)
direction = -R[2, :] # Already unit vector
# Moment vector: m = o × d
moment = np.cross(camera_position, direction)
viewpoint_params_np = np.concatenate([direction, moment])
if num_objects == 1:
viewpoint_params = torch.tensor(viewpoint_params_np, dtype=torch.float32)
viewpoint_params = viewpoint_params.to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(6, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = None
else: # num_objects == 2
viewpoint_params_np_multi = np.concatenate([viewpoint_params_np, viewpoint_params_np])
viewpoint_params = torch.tensor(viewpoint_params_np_multi, dtype=torch.float32)
viewpoint_params = viewpoint_params.to(device=device, dtype=self.dtype).unsqueeze(0)
valid_mask = torch.ones(12, dtype=torch.bool).to(device=device).unsqueeze(0)
num_objects_tensor = torch.tensor([2], dtype=torch.long).to(device=device)
else:
raise ValueError(f"Unknown viewpoint_param_type: {self.viewpoint_param_type}")
# Build conditional prompt (without applying template; handled by model)
if "a fighter jet with attached missiles" in caption_with_tokens:
# Special case to avoid issues with certain prompts
if self.front_bg_indicator:
conditional_input = (
"Generate an image: real background, {}"
.format(caption_with_tokens)
)
else:
conditional_input = (
"Generate an image: {}"
.format(caption_with_tokens)
)
else:
if self.front_bg_indicator:
conditional_input = (
"Generate an image: real background, A photo of {} on a desert landscape with cactis in the background"
.format(caption_with_tokens)
)
else:
conditional_input = (
"Generate an image: A photo of {} on a desert landscape with cactis in the background"
.format(caption_with_tokens)
)
# Prepare conditional/unconditional text conditions using model helper
class_info = actual_model.prepare_text_conditions(
conditional_input,
cfg_prompt="Generate an image."
)
input_ids = class_info['input_ids']
attention_mask = class_info['attention_mask']
# Convert to embeddings
inputs_embeds = actual_model.llm.get_input_embeddings()(input_ids).to(dtype=self.dtype)
# Inject viewpoint embeddings only into the conditional branch
cond_inputs_embeds = inputs_embeds[:1].clone()
cond_input_ids = input_ids[:1]
cond_inputs_embeds = actual_model.inject_viewpoint_embeddings(
cond_input_ids,
viewpoint_params,
cond_inputs_embeds,
valid_mask,
num_objects=num_objects_tensor
)
if self.cfg != 1.0:
# Replace conditional row and keep unconditional untouched
inputs_embeds = torch.cat([cond_inputs_embeds, inputs_embeds[1:]], dim=0)
else:
inputs_embeds = cond_inputs_embeds
input_ids = input_ids[:1]
attention_mask = attention_mask[:1]
# Generate image
images = actual_model.sample(
inputs_embeds=inputs_embeds,
attention_mask=attention_mask,
num_iter=self.num_iter,
cfg=self.cfg,
temperature=self.temperature,
progress=True,
image_shape=(32, 32),
)
# Convert to PIL Image
image = self._tensor_to_pil(images[0])
return image
def _build_caption_with_tokens(self, prompt: Union[str, List[str]]) -> str:
"""Build caption with view tokens inserted.
Args:
prompt: Single string ('lion') or list of strings (['lion', 'girl'])
Returns:
Caption with view tokens inserted
"""
view_tokens = [f"<view_token_{i}>" for i in range(self.num_view_tokens)]
if isinstance(prompt, list):
# Multi-object: duplicate all tokens for each object
view_token_str = "".join(view_tokens)
# Build: "<all_tokens> a lion and <all_tokens> a girl"
caption_with_tokens = f"{view_token_str} a {prompt[0]} and {view_token_str} a {prompt[1]}"
else:
# Single object (existing logic)
if self.view_token_placement == 'surround':
# Surround mode: tokens split around prompt
half_num = self.num_view_tokens // 2
caption_with_tokens = (
"".join(view_tokens[:half_num]) + " " +
prompt + " " +
"".join(view_tokens[half_num:])
)
elif self.view_token_placement == 'front' or self.view_token_placement == 'random':
# Front mode: all tokens at the front
caption_with_tokens = "".join(view_tokens) + " " + prompt
else:
raise ValueError(f"Invalid view_token_placement: {self.view_token_placement}")
return caption_with_tokens
def _tensor_to_pil(self, tensor: torch.Tensor) -> Image.Image:
"""
Convert tensor to PIL Image.
Args:
tensor: (C, H, W) tensor in range [-1, 1]
Returns:
PIL Image
"""
# Denormalize from [-1, 1] to [0, 255]
tensor = (tensor + 1.0) / 2.0
tensor = torch.clamp(tensor, 0, 1)
# Convert to float32 (NumPy doesn't support bfloat16)
tensor = tensor.to(dtype=torch.float32)
# Convert to numpy and rearrange to HWC
array = tensor.cpu().numpy()
array = np.transpose(array, (1, 2, 0)) # CHW -> HWC
array = (array * 255).astype(np.uint8)
return Image.fromarray(array)
def _create_grid(self, images: List[List[Image.Image]]) -> Image.Image:
"""
Create a grid of images.
Args:
images: List of rows, each row is a list of PIL Images
Returns:
Grid image as PIL Image
"""
rows = len(images)
cols = len(images[0])
# Get image size (assume all images same size)
img_width, img_height = images[0][0].size
# Create grid canvas
grid_width = cols * img_width
grid_height = rows * img_height
grid = Image.new('RGB', (grid_width, grid_height))
# Paste images
for row_idx, row in enumerate(images):
for col_idx, img in enumerate(row):
x = col_idx * img_width
y = row_idx * img_height
grid.paste(img, (x, y))
return grid
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