import os import math import numpy as np from collections import defaultdict import torch import torch.nn as nn import torch.nn.functional as F from torch.autograd import Function from torch.cuda.amp import custom_bwd, custom_fwd from igl import fast_winding_number_for_meshes, point_mesh_squared_distance, read_obj from .typing import * def get_rank(): # SLURM_PROCID can be set even if SLURM is not managing the multiprocessing, # therefore LOCAL_RANK needs to be checked first rank_keys = ("RANK", "LOCAL_RANK", "SLURM_PROCID", "JSM_NAMESPACE_RANK") for key in rank_keys: rank = os.environ.get(key) if rank is not None: return int(rank) return 0 def dot(x, y): return torch.sum(x * y, -1, keepdim=True) def reflect(x, n): return 2 * dot(x, n) * n - x ValidScale = Union[Tuple[float, float], Num[Tensor, "2 D"]] def scale_tensor( dat: Num[Tensor, "... D"], inp_scale: ValidScale, tgt_scale: ValidScale ): if inp_scale is None: inp_scale = (0, 1) if tgt_scale is None: tgt_scale = (0, 1) if isinstance(tgt_scale, Tensor): assert dat.shape[-1] == tgt_scale.shape[-1] dat = (dat - inp_scale[0]) / (inp_scale[1] - inp_scale[0]) dat = dat * (tgt_scale[1] - tgt_scale[0]) + tgt_scale[0] return dat class _TruncExp(Function): # pylint: disable=abstract-method # Implementation from torch-ngp: # https://github.com/ashawkey/torch-ngp/blob/93b08a0d4ec1cc6e69d85df7f0acdfb99603b628/activation.py @staticmethod @custom_fwd(cast_inputs=torch.float32) def forward(ctx, x): # pylint: disable=arguments-differ ctx.save_for_backward(x) return torch.exp(x) @staticmethod @custom_bwd def backward(ctx, g): # pylint: disable=arguments-differ x = ctx.saved_tensors[0] return g * torch.exp(torch.clamp(x, max=15)) class SpecifyGradient(Function): # Implementation from stable-dreamfusion # https://github.com/ashawkey/stable-dreamfusion @staticmethod @custom_fwd def forward(ctx, input_tensor, gt_grad): ctx.save_for_backward(gt_grad) # we return a dummy value 1, which will be scaled by amp's scaler so we get the scale in backward. return torch.ones([1], device=input_tensor.device, dtype=input_tensor.dtype) @staticmethod @custom_bwd def backward(ctx, grad_scale): (gt_grad,) = ctx.saved_tensors gt_grad = gt_grad * grad_scale return gt_grad, None trunc_exp = _TruncExp.apply def get_activation(name) -> Callable: if name is None: return lambda x: x name = name.lower() if name == "none": return lambda x: x elif name == "lin2srgb": return lambda x: torch.where( x > 0.0031308, torch.pow(torch.clamp(x, min=0.0031308), 1.0 / 2.4) * 1.055 - 0.055, 12.92 * x, ).clamp(0.0, 1.0) elif name == "exp": return lambda x: torch.exp(x) elif name == "shifted_exp": return lambda x: torch.exp(x - 1.0) elif name == "trunc_exp": return trunc_exp elif name == "shifted_trunc_exp": return lambda x: trunc_exp(x - 1.0) elif name == "sigmoid": return lambda x: torch.sigmoid(x) elif name == "tanh": return lambda x: torch.tanh(x) elif name == "shifted_softplus": return lambda x: F.softplus(x - 1.0) elif name == "scale_-11_01": return lambda x: x * 0.5 + 0.5 else: try: return getattr(F, name) except AttributeError: raise ValueError(f"Unknown activation function: {name}") def chunk_batch(func: Callable, chunk_size: int, triplane=None, *args, **kwargs) -> Any: if chunk_size <= 0: return func(*args, **kwargs) B = None for arg in list(args) + list(kwargs.values()): if isinstance(arg, torch.Tensor): B = arg.shape[0] break assert ( B is not None ), "No tensor found in args or kwargs, cannot determine batch size." out = defaultdict(list) out_type = None # max(1, B) to support B == 0 for i in range(0, max(1, B), chunk_size): if triplane is not None: out_chunk = func(triplane=triplane, *[ arg[i : i + chunk_size] if isinstance(arg, torch.Tensor) else arg for arg in args ], **{ k: arg[i : i + chunk_size] if isinstance(arg, torch.Tensor) else arg for k, arg in kwargs.items() }, ) else: out_chunk = func( *[ arg[i : i + chunk_size] if isinstance(arg, torch.Tensor) else arg for arg in args ], **{ k: arg[i : i + chunk_size] if isinstance(arg, torch.Tensor) else arg for k, arg in kwargs.items() }, ) if out_chunk is None: continue out_type = type(out_chunk) if isinstance(out_chunk, torch.Tensor): out_chunk = {0: out_chunk} elif isinstance(out_chunk, tuple) or isinstance(out_chunk, list): chunk_length = len(out_chunk) out_chunk = {i: chunk for i, chunk in enumerate(out_chunk)} elif isinstance(out_chunk, dict): pass else: print( f"Return value of func must be in type [torch.Tensor, list, tuple, dict], get {type(out_chunk)}." ) exit(1) for k, v in out_chunk.items(): v = v if torch.is_grad_enabled() else v.detach() out[k].append(v) if out_type is None: return None out_merged: Dict[Any, Optional[torch.Tensor]] = {} for k, v in out.items(): if all([vv is None for vv in v]): # allow None in return value out_merged[k] = None elif all([isinstance(vv, torch.Tensor) for vv in v]): out_merged[k] = torch.cat(v, dim=0) else: raise TypeError( f"Unsupported types in return value of func: {[type(vv) for vv in v if not isinstance(vv, torch.Tensor)]}" ) if out_type is torch.Tensor: return out_merged[0] elif out_type in [tuple, list]: return out_type([out_merged[i] for i in range(chunk_length)]) elif out_type is dict: return out_merged def get_ray_directions( H: int, W: int, focal: Union[float, Tuple[float, float]], principal: Optional[Tuple[float, float]] = None, use_pixel_centers: bool = True, ) -> Float[Tensor, "H W 3"]: """ Get ray directions for all pixels in camera coordinate. Reference: https://www.scratchapixel.com/lessons/3d-basic-rendering/ ray-tracing-generating-camera-rays/standard-coordinate-systems Inputs: H, W, focal, principal, use_pixel_centers: image height, width, focal length, principal point and whether use pixel centers Outputs: directions: (H, W, 3), the direction of the rays in camera coordinate """ pixel_center = 0.5 if use_pixel_centers else 0 if isinstance(focal, float): fx, fy = focal, focal cx, cy = W / 2, H / 2 else: fx, fy = focal assert principal is not None cx, cy = principal i, j = torch.meshgrid( torch.arange(W, dtype=torch.float32) + pixel_center, torch.arange(H, dtype=torch.float32) + pixel_center, indexing="xy", ) directions: Float[Tensor, "H W 3"] = torch.stack( [(i - cx) / fx, -(j - cy) / fy, -torch.ones_like(i)], -1 ) return directions def get_rays( directions: Float[Tensor, "... 3"], c2w: Float[Tensor, "... 4 4"], keepdim=False, noise_scale=0.0, ) -> Tuple[Float[Tensor, "... 3"], Float[Tensor, "... 3"]]: # Rotate ray directions from camera coordinate to the world coordinate assert directions.shape[-1] == 3 if directions.ndim == 2: # (N_rays, 3) if c2w.ndim == 2: # (4, 4) c2w = c2w[None, :, :] assert c2w.ndim == 3 # (N_rays, 4, 4) or (1, 4, 4) rays_d = (directions[:, None, :] * c2w[:, :3, :3]).sum(-1) # (N_rays, 3) rays_o = c2w[:, :3, 3].expand(rays_d.shape) elif directions.ndim == 3: # (H, W, 3) assert c2w.ndim in [2, 3] if c2w.ndim == 2: # (4, 4) rays_d = (directions[:, :, None, :] * c2w[None, None, :3, :3]).sum( -1 ) # (H, W, 3) rays_o = c2w[None, None, :3, 3].expand(rays_d.shape) elif c2w.ndim == 3: # (B, 4, 4) rays_d = (directions[None, :, :, None, :] * c2w[:, None, None, :3, :3]).sum( -1 ) # (B, H, W, 3) rays_o = c2w[:, None, None, :3, 3].expand(rays_d.shape) elif directions.ndim == 4: # (B, H, W, 3) assert c2w.ndim == 3 # (B, 4, 4) rays_d = (directions[:, :, :, None, :] * c2w[:, None, None, :3, :3]).sum( -1 ) # (B, H, W, 3) rays_o = c2w[:, None, None, :3, 3].expand(rays_d.shape) # add camera noise to avoid grid-like artifect # https://github.com/ashawkey/stable-dreamfusion/blob/49c3d4fa01d68a4f027755acf94e1ff6020458cc/nerf/utils.py#L373 if noise_scale > 0: rays_o = rays_o + torch.randn(3, device=rays_o.device) * noise_scale rays_d = rays_d + torch.randn(3, device=rays_d.device) * noise_scale rays_d = F.normalize(rays_d, dim=-1) if not keepdim: rays_o, rays_d = rays_o.reshape(-1, 3), rays_d.reshape(-1, 3) return rays_o, rays_d def get_projection_matrix( fovy: Float[Tensor, "B"], aspect_wh: float, near: float, far: float ) -> Float[Tensor, "B 4 4"]: batch_size = fovy.shape[0] proj_mtx = torch.zeros(batch_size, 4, 4, dtype=torch.float32) proj_mtx[:, 0, 0] = 1.0 / (torch.tan(fovy / 2.0) * aspect_wh) proj_mtx[:, 1, 1] = -1.0 / torch.tan( fovy / 2.0 ) # add a negative sign here as the y axis is flipped in nvdiffrast output proj_mtx[:, 2, 2] = -(far + near) / (far - near) proj_mtx[:, 2, 3] = -2.0 * far * near / (far - near) proj_mtx[:, 3, 2] = -1.0 return proj_mtx def get_mvp_matrix( c2w: Float[Tensor, "B 4 4"], proj_mtx: Float[Tensor, "B 4 4"] ) -> Float[Tensor, "B 4 4"]: # calculate w2c from c2w: R' = Rt, t' = -Rt * t # mathematically equivalent to (c2w)^-1 w2c: Float[Tensor, "B 4 4"] = torch.zeros(c2w.shape[0], 4, 4).to(c2w) w2c[:, :3, :3] = c2w[:, :3, :3].permute(0, 2, 1) w2c[:, :3, 3:] = -c2w[:, :3, :3].permute(0, 2, 1) @ c2w[:, :3, 3:] w2c[:, 3, 3] = 1.0 # calculate mvp matrix by proj_mtx @ w2c (mv_mtx) mvp_mtx = proj_mtx @ w2c return mvp_mtx def get_full_projection_matrix( c2w: Float[Tensor, "B 4 4"], proj_mtx: Float[Tensor, "B 4 4"] ) -> Float[Tensor, "B 4 4"]: return (c2w.unsqueeze(0).bmm(proj_mtx.unsqueeze(0))).squeeze(0) # gaussian splatting functions def convert_pose(C2W): flip_yz = torch.eye(4, device=C2W.device) flip_yz[1, 1] = -1 flip_yz[2, 2] = -1 C2W = torch.matmul(C2W, flip_yz) return C2W def get_projection_matrix_gaussian(znear, zfar, fovX, fovY, device="cuda"): tanHalfFovY = math.tan((fovY / 2)) tanHalfFovX = math.tan((fovX / 2)) top = tanHalfFovY * znear bottom = -top right = tanHalfFovX * znear left = -right P = torch.zeros(4, 4, device=device) z_sign = 1.0 P[0, 0] = 2.0 * znear / (right - left) P[1, 1] = 2.0 * znear / (top - bottom) P[0, 2] = (right + left) / (right - left) P[1, 2] = (top + bottom) / (top - bottom) P[3, 2] = z_sign P[2, 2] = z_sign * zfar / (zfar - znear) P[2, 3] = -(zfar * znear) / (zfar - znear) return P def get_fov_gaussian(P): tanHalfFovX = 1 / P[0, 0] tanHalfFovY = 1 / P[1, 1] fovY = math.atan(tanHalfFovY) * 2 fovX = math.atan(tanHalfFovX) * 2 return fovX, fovY def get_cam_info_gaussian(c2w, fovx, fovy, znear, zfar): c2w = convert_pose(c2w) world_view_transform = torch.inverse(c2w) world_view_transform = world_view_transform.transpose(0, 1).cuda().float() projection_matrix = ( get_projection_matrix_gaussian(znear=znear, zfar=zfar, fovX=fovx, fovY=fovy) .transpose(0, 1) .cuda() ) full_proj_transform = ( world_view_transform.unsqueeze(0).bmm(projection_matrix.unsqueeze(0)) ).squeeze(0) camera_center = world_view_transform.inverse()[3, :3] return world_view_transform, full_proj_transform, camera_center def binary_cross_entropy(input, target): """ F.binary_cross_entropy is not numerically stable in mixed-precision training. """ return -(target * torch.log(input) + (1 - target) * torch.log(1 - input)).mean() def tet_sdf_diff( vert_sdf: Float[Tensor, "Nv 1"], tet_edges: Integer[Tensor, "Ne 2"] ) -> Float[Tensor, ""]: sdf_f1x6x2 = vert_sdf[:, 0][tet_edges.reshape(-1)].reshape(-1, 2) mask = torch.sign(sdf_f1x6x2[..., 0]) != torch.sign(sdf_f1x6x2[..., 1]) sdf_f1x6x2 = sdf_f1x6x2[mask] sdf_diff = F.binary_cross_entropy_with_logits( sdf_f1x6x2[..., 0], (sdf_f1x6x2[..., 1] > 0).float() ) + F.binary_cross_entropy_with_logits( sdf_f1x6x2[..., 1], (sdf_f1x6x2[..., 0] > 0).float() ) return sdf_diff # Implementation from Latent-NeRF # https://github.com/eladrich/latent-nerf/blob/f49ecefcd48972e69a28e3116fe95edf0fac4dc8/src/latent_nerf/models/mesh_utils.py class MeshOBJ: dx = torch.zeros(3).float() dx[0] = 1 dy, dz = dx[[1, 0, 2]], dx[[2, 1, 0]] dx, dy, dz = dx[None, :], dy[None, :], dz[None, :] def __init__(self, v: np.ndarray, f: np.ndarray): self.v = v self.f = f self.dx, self.dy, self.dz = MeshOBJ.dx, MeshOBJ.dy, MeshOBJ.dz self.v_tensor = torch.from_numpy(self.v) vf = self.v[self.f, :] self.f_center = vf.mean(axis=1) self.f_center_tensor = torch.from_numpy(self.f_center).float() e1 = vf[:, 1, :] - vf[:, 0, :] e2 = vf[:, 2, :] - vf[:, 0, :] self.face_normals = np.cross(e1, e2) self.face_normals = ( self.face_normals / np.linalg.norm(self.face_normals, axis=-1)[:, None] ) self.face_normals_tensor = torch.from_numpy(self.face_normals) def normalize_mesh(self, target_scale=0.5): verts = self.v # Compute center of bounding box # center = torch.mean(torch.column_stack([torch.max(verts, dim=0)[0], torch.min(verts, dim=0)[0]])) center = verts.mean(axis=0) verts = verts - center scale = np.max(np.linalg.norm(verts, axis=1)) verts = (verts / scale) * target_scale return MeshOBJ(verts, self.f) def winding_number(self, query: torch.Tensor): device = query.device shp = query.shape query_np = query.detach().cpu().reshape(-1, 3).numpy() target_alphas = fast_winding_number_for_meshes( self.v.astype(np.float32), self.f, query_np ) return torch.from_numpy(target_alphas).reshape(shp[:-1]).to(device) def gaussian_weighted_distance(self, query: torch.Tensor, sigma): device = query.device shp = query.shape query_np = query.detach().cpu().reshape(-1, 3).numpy() distances, _, _ = point_mesh_squared_distance( query_np, self.v.astype(np.float32), self.f ) distances = torch.from_numpy(distances).reshape(shp[:-1]).to(device) weight = torch.exp(-(distances / (2 * sigma**2))) return weight def ce_pq_loss(p, q, weight=None): def clamp(v, T=0.0001): return v.clamp(T, 1 - T) p = p.view(q.shape) ce = -1 * (p * torch.log(clamp(q)) + (1 - p) * torch.log(clamp(1 - q))) if weight is not None: ce *= weight return ce.sum() class ShapeLoss(nn.Module): def __init__(self, guide_shape): super().__init__() self.mesh_scale = 0.7 self.proximal_surface = 0.3 self.delta = 0.2 self.shape_path = guide_shape v, _, _, f, _, _ = read_obj(self.shape_path, float) mesh = MeshOBJ(v, f) matrix_rot = np.array([[1, 0, 0], [0, 0, -1], [0, 1, 0]]) @ np.array( [[0, 0, 1], [0, 1, 0], [-1, 0, 0]] ) self.sketchshape = mesh.normalize_mesh(self.mesh_scale) self.sketchshape = MeshOBJ( np.ascontiguousarray( (matrix_rot @ self.sketchshape.v.transpose(1, 0)).transpose(1, 0) ), f, ) def forward(self, xyzs, sigmas): mesh_occ = self.sketchshape.winding_number(xyzs) if self.proximal_surface > 0: weight = 1 - self.sketchshape.gaussian_weighted_distance( xyzs, self.proximal_surface ) else: weight = None indicator = (mesh_occ > 0.5).float() nerf_occ = 1 - torch.exp(-self.delta * sigmas) nerf_occ = nerf_occ.clamp(min=0, max=1.1) loss = ce_pq_loss( nerf_occ, indicator, weight=weight ) # order is important for CE loss + second argument may not be optimized return loss def shifted_expotional_decay(a, b, c, r): return a * torch.exp(-b * r) + c def shifted_cosine_decay(a, b, c, r): return a * torch.cos(b * r + c) + a def perpendicular_component(x: Float[Tensor, "B C H W"], y: Float[Tensor, "B C H W"]): # get the component of x that is perpendicular to y eps = torch.ones_like(x[:, 0, 0, 0]) * 1e-6 return ( x - ( torch.mul(x, y).sum(dim=[1, 2, 3]) / torch.maximum(torch.mul(y, y).sum(dim=[1, 2, 3]), eps) ).view(-1, 1, 1, 1) * y ) def validate_empty_rays(ray_indices, t_start, t_end): if ray_indices.nelement() == 0: print("Warn Empty rays_indices!") ray_indices = torch.LongTensor([0]).to(ray_indices) t_start = torch.Tensor([0]).to(ray_indices) t_end = torch.Tensor([0]).to(ray_indices) return ray_indices, t_start, t_end