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#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
"""PyTorch-only inference for the released thesis RENI++ decoder."""
from __future__ import annotations
import math
from dataclasses import asdict, dataclass
from pathlib import Path
from typing import Any
import torch
from torch import Tensor, nn
ARTIFACT_FORMAT_VERSION = 1
MODEL_TYPE = "reni-vnjoint-ortho-so2-two-bracket"
@dataclass(frozen=True)
class ReniDecoderConfig:
"""Architecture and HDR decoding constants for the released decoder."""
latent_dim: int = 100
axis_of_invariance: int = 2
hidden_features: int = 128
num_attention_heads: int = 8
num_attention_layers: int = 6
out_features: int = 6
num_frequencies: int = 2
min_frequency_exponent: float = 0.0
max_frequency_exponent: float = 2.0
include_direction_input: bool = True
m_ldr: float = 16.0
m_log: float = 10000.0
blend_tau: float = 0.95
blend_delta: float = 0.02
@classmethod
def from_dict(cls, values: dict[str, Any]) -> "ReniDecoderConfig":
known = {field.name for field in cls.__dataclass_fields__.values()}
return cls(**{key: value for key, value in values.items() if key in known})
def to_dict(self) -> dict[str, Any]:
return asdict(self)
class VNLinear(nn.Module):
"""Linear mixing of vector-neuron channels."""
def __init__(self, dim_in: int, dim_out: int) -> None:
super().__init__()
self.weight = nn.Parameter(torch.randn(dim_out, dim_in))
def forward(self, x: Tensor) -> Tensor:
return torch.einsum("...ic,oi->...oc", x, self.weight)
class VNReLU(nn.Module):
"""Vector-neuron ReLU used to predict the shared planar frame."""
def __init__(self, dim: int, eps: float = 1e-6) -> None:
super().__init__()
self.eps = eps
self.W = nn.Parameter(torch.empty(dim, dim))
self.U = nn.Parameter(torch.empty(dim, dim))
def forward(self, x: Tensor) -> Tensor:
q = torch.einsum("...ic,oi->...oc", x, self.W)
k = torch.einsum("...ic,oi->...oc", x, self.U)
qk = (q * k).sum(dim=-1, keepdim=True)
k_norm = torch.sqrt((k**2).sum(dim=-1, keepdim=True).clamp(min=self.eps))
q_projected = q - (q * (k / k_norm)).sum(dim=-1, keepdim=True) * k
return torch.where(qk >= 0.0, q, q_projected)
class MultiHeadAttention(nn.Module):
def __init__(
self,
direction_input_dim: int,
conditioning_input_dim: int,
latent_dim: int,
num_heads: int,
) -> None:
super().__init__()
if latent_dim % num_heads:
raise ValueError("latent_dim must be divisible by num_heads")
self.num_heads = num_heads
self.head_dim = latent_dim // num_heads
self.scale = self.head_dim**-0.5
self.query = nn.Linear(direction_input_dim, latent_dim)
self.key = nn.Linear(conditioning_input_dim, latent_dim)
self.value = nn.Linear(conditioning_input_dim, latent_dim)
self.fc_out = nn.Linear(latent_dim, latent_dim)
def forward(self, query: Tensor, key: Tensor, value: Tensor) -> Tensor:
batch_size = query.size(0)
q = (
self.query(query)
.view(batch_size, -1, self.num_heads, self.head_dim)
.transpose(1, 2)
)
k = (
self.key(key)
.view(batch_size, -1, self.num_heads, self.head_dim)
.transpose(1, 2)
)
v = (
self.value(value)
.view(batch_size, -1, self.num_heads, self.head_dim)
.transpose(1, 2)
)
attention = torch.einsum("bnqk,bnkh->bnqh", q, k.transpose(-2, -1)) * self.scale
attention = torch.softmax(attention, dim=-1)
output = torch.einsum("bnqh,bnhv->bnqv", attention, v)
output = output.transpose(1, 2).contiguous().view(batch_size, -1)
return self.fc_out(output)
class AttentionLayer(nn.Module):
def __init__(
self,
direction_input_dim: int,
conditioning_input_dim: int,
latent_dim: int,
num_heads: int,
) -> None:
super().__init__()
self.mha = MultiHeadAttention(
direction_input_dim,
conditioning_input_dim,
latent_dim,
num_heads,
)
self.norm1 = nn.LayerNorm(latent_dim)
self.norm2 = nn.LayerNorm(latent_dim)
self.fc = nn.Sequential(
nn.Linear(latent_dim, latent_dim),
nn.ReLU(),
nn.Linear(latent_dim, latent_dim),
)
def forward(self, directional_input: Tensor, conditioning_input: Tensor) -> Tensor:
attention = self.mha(
directional_input,
conditioning_input,
conditioning_input,
)
output = self.norm1(attention + directional_input)
return self.norm2(self.fc(output) + output)
class Decoder(nn.Module):
def __init__(
self,
in_dim: int,
conditioning_input_dim: int,
hidden_features: int,
num_heads: int,
num_layers: int,
out_dim: int,
) -> None:
super().__init__()
self.residual_projection = nn.Linear(in_dim, hidden_features)
self.layers = nn.ModuleList(
[
AttentionLayer(
hidden_features,
conditioning_input_dim,
hidden_features,
num_heads,
)
for _ in range(num_layers)
]
)
self.fc = nn.Linear(hidden_features, out_dim)
def forward(self, x: Tensor, conditioning_input: Tensor) -> Tensor:
x = self.residual_projection(x)
for layer in self.layers:
x = layer(x, conditioning_input)
return torch.sigmoid(self.fc(x))
class ReniDecoder(nn.Module):
"""The reusable RENI++ prior without Nerfstudio or training state."""
def __init__(self, config: ReniDecoderConfig | None = None) -> None:
super().__init__()
self.config = config or ReniDecoderConfig()
if self.config.axis_of_invariance != 2:
raise ValueError("The released minimal decoder expects a z-up SO(2) axis")
planar_dim = 2
directional_dim = self.config.latent_dim + 2
encoded_directional_dim = directional_dim * (
2 * self.config.num_frequencies + int(self.config.include_direction_input)
)
conditioning_dim = self.config.latent_dim * 3
self.vn_joint_frame = nn.Sequential(
VNLinear(self.config.latent_dim, planar_dim),
VNReLU(planar_dim),
)
self.network = Decoder(
in_dim=encoded_directional_dim,
conditioning_input_dim=conditioning_dim,
hidden_features=self.config.hidden_features,
num_heads=self.config.num_attention_heads,
num_layers=self.config.num_attention_layers,
out_dim=self.config.out_features,
)
@staticmethod
def _orthonormalise_frame(frame: Tensor, eps: float = 1e-6) -> Tensor:
rows = []
for index in range(frame.shape[-2]):
vector = frame[..., index, :]
for unit in rows:
vector = vector - (vector * unit).sum(-1, keepdim=True) * unit
rows.append(vector / vector.norm(dim=-1, keepdim=True).clamp(min=eps))
return torch.stack(rows, dim=-2)
def _invariant_inputs(
self, latent: Tensor, directions: Tensor
) -> tuple[Tensor, Tensor]:
z_planar = latent[..., :2]
d_planar = directions[..., :2]
frame = self._orthonormalise_frame(self.vn_joint_frame(z_planar))
z_planar_invariant = torch.einsum("bnc,boc->bno", z_planar, frame)
z_axis = latent[..., 2].unsqueeze(-1)
conditioning = torch.cat((z_planar_invariant, z_axis), dim=-1).flatten(1)
inner_product = (z_planar * d_planar.unsqueeze(1)).sum(dim=-1)
direction_axis = directions[..., 2].unsqueeze(-1)
direction_planar_norm = d_planar.norm(dim=-1, keepdim=True)
directional = torch.cat(
(inner_product, direction_axis, direction_planar_norm), dim=-1
)
return directional, conditioning
def _encode_directions(self, directions: Tensor) -> Tensor:
config = self.config
scaled = 2.0 * torch.pi * directions
frequencies = 2.0 ** torch.linspace(
config.min_frequency_exponent,
config.max_frequency_exponent,
config.num_frequencies,
device=directions.device,
)
scaled = (scaled[..., None] * frequencies).flatten(-2)
encoded = torch.sin(torch.cat((scaled, scaled + torch.pi / 2.0), dim=-1))
if config.include_direction_input:
encoded = torch.cat((encoded, directions), dim=-1)
return encoded
def _decode_flat(self, latent: Tensor, directions: Tensor) -> Tensor:
directional, conditioning = self._invariant_inputs(latent, directions)
return self.network(
self._encode_directions(directional),
conditioning,
)
@staticmethod
def _prepare_inputs(
latent: Tensor,
directions: Tensor,
) -> tuple[Tensor, Tensor, bool]:
latent_unbatched = latent.ndim == 2
directions_unbatched = directions.ndim == 2
if latent_unbatched:
latent = latent.unsqueeze(0)
if directions_unbatched:
directions = directions.unsqueeze(0)
if latent.ndim != 3 or latent.shape[-1] != 3:
raise ValueError("latent must have shape [D, 3] or [B, D, 3]")
if directions.ndim != 3 or directions.shape[-1] != 3:
raise ValueError("directions must have shape [N, 3] or [B, N, 3]")
batch = max(latent.shape[0], directions.shape[0])
if latent.shape[0] not in (1, batch) or directions.shape[0] not in (1, batch):
raise ValueError("latent and direction batch dimensions cannot broadcast")
latent = latent.expand(batch, -1, -1)
directions = directions.expand(batch, -1, -1)
directions = directions / directions.norm(dim=-1, keepdim=True).clamp_min(1e-8)
return latent, directions, latent_unbatched and directions_unbatched
def decode_brackets(
self,
latent: Tensor,
directions: Tensor,
chunk_size: int = 65536,
) -> Tensor:
"""Evaluate the two bounded RGB brackets at query directions."""
latent, directions, squeeze = self._prepare_inputs(latent, directions)
batch, num_directions = directions.shape[:2]
chunks = []
for start in range(0, num_directions, chunk_size):
direction_chunk = directions[:, start : start + chunk_size]
count = direction_chunk.shape[1]
repeated_latent = (
latent[:, None]
.expand(batch, count, -1, -1)
.reshape(batch * count, self.config.latent_dim, 3)
)
flat_directions = direction_chunk.reshape(batch * count, 3)
chunks.append(
self._decode_flat(repeated_latent, flat_directions).reshape(
batch, count, self.config.out_features
)
)
brackets = torch.cat(chunks, dim=1)
return brackets.squeeze(0) if squeeze else brackets
def forward(
self,
latent: Tensor,
directions: Tensor,
chunk_size: int = 65536,
) -> Tensor:
"""Evaluate linear HDR RGB at query directions."""
brackets = self.decode_brackets(latent, directions, chunk_size)
return two_bracket_to_linear(
brackets,
m_ldr=self.config.m_ldr,
m_log=self.config.m_log,
tau=self.config.blend_tau,
delta=self.config.blend_delta,
)
@classmethod
def from_artifact(
cls,
path: str | Path,
device: str | torch.device = "cpu",
) -> "ReniDecoder":
payload = torch.load(path, map_location=device, weights_only=True)
if payload.get("format_version") != ARTIFACT_FORMAT_VERSION:
raise ValueError("Unsupported RENI decoder artifact format")
if payload.get("model_type") != MODEL_TYPE:
raise ValueError(f"Unsupported model type: {payload.get('model_type')}")
model = cls(ReniDecoderConfig.from_dict(payload["config"]))
model.load_state_dict(payload["state_dict"], strict=True)
model.to(device).eval()
for parameter in model.parameters():
parameter.requires_grad_(False)
return model
def inverse_reinhard_extended(tonemapped: Tensor, m_ldr: float) -> Tensor:
discriminant = (1.0 - tonemapped) ** 2 + 4.0 * tonemapped / (m_ldr**2)
return (
2.0
* tonemapped
/ ((1.0 - tonemapped) + torch.sqrt(discriminant.clamp_min(0.0)))
)
def inverse_log_tonemap(tonemapped: Tensor, m_log: float) -> Tensor:
return torch.expm1(tonemapped * math.log1p(m_log))
def two_bracket_to_linear(
brackets: Tensor,
m_ldr: float = 16.0,
m_log: float = 10000.0,
tau: float = 0.95,
delta: float = 0.02,
) -> Tensor:
"""Reconstruct linear HDR from the LDR and log RGB brackets."""
ldr = inverse_reinhard_extended(brackets[..., :3], m_ldr)
log = inverse_log_tonemap(brackets[..., 3:6], m_log)
weight = torch.sigmoid((ldr.max(dim=-1, keepdim=True).values - tau) / delta)
return (1.0 - weight) * ldr + weight * log
def equirectangular_directions(
height: int,
width: int | None = None,
*,
device: str | torch.device = "cpu",
dtype: torch.dtype = torch.float32,
) -> Tensor:
"""Return row-major, z-up unit directions for a 2:1 ERP."""
width = width or 2 * height
if width != 2 * height:
raise ValueError("The reference renderer expects a 2:1 ERP")
y, x = torch.meshgrid(
torch.arange(height, device=device, dtype=dtype) + 0.5,
torch.arange(width, device=device, dtype=dtype) + 0.5,
indexing="ij",
)
coord_x = (x - width / 2.0) / height
coord_y = -((y - height / 2.0) / height)
theta = -torch.pi * coord_x
phi = torch.pi * (0.5 - coord_y)
camera_x = -torch.sin(theta) * torch.sin(phi)
camera_y = torch.cos(phi)
camera_z = -torch.cos(theta) * torch.sin(phi)
world = torch.stack((camera_x, camera_z, camera_y), dim=-1)
return world.reshape(-1, 3)
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