n3tree

nerfacc/estimators/n3tree.py

+import math
+from typing import Callable, List, Optional, Tuple, Union
+
+import torch
+from ..grid import _enlarge_aabb
+from ..volrend import (
+    render_visibility_from_alpha,
+    render_visibility_from_density,
+)
+from .base import AbstractEstimator
+from torch import Tensor
+
+try:
+    import svox
+except ImportError:
+    raise ImportError(
+        "Please install this forked version of svox: "
+        "pip install git+https://github.com/liruilong940607/svox.git"
+    )
+
+
+class N3TreeEstimator(AbstractEstimator):
+    """Use N3Tree to implement Occupancy Grid.
+    
+    This allows more flexible topologies than the cascaded grid. However, it is
+    slower to create samples from the tree than the cascaded grid. By default,
+    it has the same topology as the cascaded grid but `self.tree` can be
+    modified to have different topologies.
+    """
+
+    def __init__(
+        self,
+        roi_aabb: Union[List[int], Tensor],
+        resolution: Union[int, List[int], Tensor] = 128,
+        levels: int = 1,
+        **kwargs,
+    ) -> None:
+        super().__init__()
+
+        if "contraction_type" in kwargs:
+            raise ValueError(
+                "`contraction_type` is not supported anymore for nerfacc >= 0.4.0."
+            )
+
+        # check the resolution is legal
+        assert isinstance(resolution, int), "N3Tree only supports uniform resolution!"
+
+        # check the roi_aabb is legal
+        if isinstance(roi_aabb, (list, tuple)):
+            roi_aabb = torch.tensor(roi_aabb, dtype=torch.float32)
+        assert isinstance(roi_aabb, Tensor), f"Invalid type: {roi_aabb}!"
+        assert roi_aabb.shape[0] == 6, f"Invalid shape: {roi_aabb}!"
+        roi_aabb = roi_aabb.cpu()
+
+        # to be compatible with the OccupancyGrid
+        aabbs = torch.stack(
+            [_enlarge_aabb(roi_aabb, 2**i) for i in range(levels)], dim=0
+        )
+        self.register_buffer("aabbs", aabbs)  # [n_aabbs, 6]
+
+        center = (roi_aabb[:3] + roi_aabb[3:]) / 2.0
+        radius = (roi_aabb[3:] - roi_aabb[:3]) / 2.0 * 2 ** (levels - 1)
+
+        tree_depth = int(math.log2(resolution)) - 1
+        self.tree = svox.N3Tree(
+            N=2,
+            data_dim=1,
+            init_refine=tree_depth,
+            depth_limit=20,
+            radius=radius.tolist(),
+            center=center.tolist(),
+        )
+        _aabbs = [_enlarge_aabb(roi_aabb, 2**i) for i in range(levels - 1)]
+        for aabb in _aabbs[::-1]:
+            leaf_c = self.tree.corners + self.tree.lengths * 0.5
+            sel = ((leaf_c > aabb[:3]) & (leaf_c < aabb[3:])).all(dim=-1)
+            self.tree[sel].refine()
+        # print("tree size", len(self.tree), "at resolution", resolution)
+
+        self.thresh = 0.0
+
+    @torch.no_grad()
+    def sampling(
+        self,
+        # rays
+        rays_o: Tensor,  # [n_rays, 3]
+        rays_d: Tensor,  # [n_rays, 3]
+        # sigma/alpha function for skipping invisible space
+        sigma_fn: Optional[Callable] = None,
+        alpha_fn: Optional[Callable] = None,
+        near_plane: float = 0.0,
+        far_plane: float = 1e10,
+        t_min: Optional[Tensor] = None,  # [n_rays]
+        t_max: Optional[Tensor] = None,  # [n_rays]
+        # rendering options
+        render_step_size: float = 1e-3,
+        early_stop_eps: float = 1e-4,
+        alpha_thre: float = 0.0,
+        stratified: bool = False,
+        cone_angle: float = 0.0,
+    ) -> Tuple[Tensor, Tensor, Tensor]:
+        """Sampling with spatial skipping.
+
+        Note:
+            This function is not differentiable to any inputs.
+
+        Args:
+            rays_o: Ray origins of shape (n_rays, 3).
+            rays_d: Normalized ray directions of shape (n_rays, 3).
+            sigma_fn: Optional. If provided, the marching will skip the invisible space
+                by evaluating the density along the ray with `sigma_fn`. It should be a
+                function that takes in samples {t_starts (N,), t_ends (N,),
+                ray indices (N,)} and returns the post-activation density values (N,).
+                You should only provide either `sigma_fn` or `alpha_fn`.
+            alpha_fn: Optional. If provided, the marching will skip the invisible space
+                by evaluating the density along the ray with `alpha_fn`. It should be a
+                function that takes in samples {t_starts (N,), t_ends (N,),
+                ray indices (N,)} and returns the post-activation opacity values (N,).
+                You should only provide either `sigma_fn` or `alpha_fn`.
+            near_plane: Optional. Near plane distance. Default: 0.0.
+            far_plane: Optional. Far plane distance. Default: 1e10.
+            t_min: Optional. Per-ray minimum distance. Tensor with shape (n_rays).
+                If profided, the marching will start from maximum of t_min and near_plane.
+            t_max: Optional. Per-ray maximum distance. Tensor with shape (n_rays).
+                If profided, the marching will stop by minimum of t_max and far_plane.
+            render_step_size: Step size for marching. Default: 1e-3.
+            early_stop_eps: Early stop threshold for skipping invisible space. Default: 1e-4.
+            alpha_thre: Alpha threshold for skipping empty space. Default: 0.0.
+            stratified: Whether to use stratified sampling. Default: False.
+            cone_angle: Cone angle for linearly-increased step size. 0. means
+                constant step size. Default: 0.0.
+
+        Returns:
+            A tuple of {LongTensor, Tensor, Tensor}:
+
+            - **ray_indices**: Ray index of each sample. IntTensor with shape (n_samples).
+            - **t_starts**: Per-sample start distance. Tensor with shape (n_samples,).
+            - **t_ends**: Per-sample end distance. Tensor with shape (n_samples,).
+
+        Examples:
+
+        .. code-block:: python
+
+            >>> ray_indices, t_starts, t_ends = grid.sampling(
+            >>>     rays_o, rays_d, render_step_size=1e-3)
+            >>> t_mid = (t_starts + t_ends) / 2.0
+            >>> sample_locs = rays_o[ray_indices] + t_mid * rays_d[ray_indices]
+
+        """
+
+        assert t_min is None and t_max is None, (
+            "Do not supported per-ray min max. Please use near_plane and far_plane instead."
+        )
+        if stratified:
+            near_plane += torch.rand(()).item() * render_step_size
+
+        t_starts, t_ends, packed_info, ray_indices = svox.volume_sample(
+            self.tree,
+            thresh=self.thresh,
+            rays=svox.Rays(rays_o.contiguous(), rays_d.contiguous(), rays_d.contiguous()),
+            step_size=render_step_size,
+            cone_angle=cone_angle,
+            near_plane=near_plane,
+            far_plane=far_plane,
+        )
+        packed_info = packed_info.long()
+        ray_indices = ray_indices.long()
+
+        # skip invisible space
+        if (alpha_thre > 0.0 or early_stop_eps > 0.0) and (
+            sigma_fn is not None or alpha_fn is not None
+        ):
+            alpha_thre = min(alpha_thre, self.thresh)
+
+            # Compute visibility of the samples, and filter out invisible samples
+            if sigma_fn is not None:
+                if t_starts.shape[0] != 0:
+                    sigmas = sigma_fn(t_starts, t_ends, ray_indices)
+                else:
+                    sigmas = torch.empty((0,), device=t_starts.device)
+                assert (
+                    sigmas.shape == t_starts.shape
+                ), "sigmas must have shape of (N,)! Got {}".format(sigmas.shape)
+                masks = render_visibility_from_density(
+                    t_starts=t_starts,
+                    t_ends=t_ends,
+                    sigmas=sigmas,
+                    ray_indices=ray_indices,
+                    n_rays=len(rays_o),
+                    early_stop_eps=early_stop_eps,
+                    alpha_thre=alpha_thre,
+                )
+            elif alpha_fn is not None:
+                if t_starts.shape[0] != 0:
+                    alphas = alpha_fn(t_starts, t_ends, ray_indices)
+                else:
+                    alphas = torch.empty((0,), device=t_starts.device)
+                assert (
+                    alphas.shape == t_starts.shape
+                ), "alphas must have shape of (N,)! Got {}".format(alphas.shape)
+                masks = render_visibility_from_alpha(
+                    alphas=alphas,
+                    ray_indices=ray_indices,
+                    n_rays=len(rays_o),
+                    early_stop_eps=early_stop_eps,
+                    alpha_thre=alpha_thre,
+                )
+            ray_indices, t_starts, t_ends = (
+                ray_indices[masks],
+                t_starts[masks],
+                t_ends[masks],
+            )
+        return ray_indices, t_starts, t_ends
+
+    @torch.no_grad()
+    def update_every_n_steps(
+        self,
+        step: int,
+        occ_eval_fn: Callable,
+        occ_thre: float = 1e-2,
+        ema_decay: float = 0.95,
+        warmup_steps: int = 256,
+        n: int = 16,
+    ) -> None:
+        """Update the estimator every n steps during training.
+
+        Args:
+            step: Current training step.
+            occ_eval_fn: A function that takes in sample locations :math:`(N, 3)` and
+                returns the occupancy values :math:`(N, 1)` at those locations.
+            occ_thre: Threshold used to binarize the occupancy grid. Default: 1e-2.
+            ema_decay: The decay rate for EMA updates. Default: 0.95.
+            warmup_steps: Sample all cells during the warmup stage. After the warmup
+                stage we change the sampling strategy to 1/4 uniformly sampled cells
+                together with 1/4 occupied cells. Default: 256.
+            n: Update the grid every n steps. Default: 16.
+        """
+        if not self.training:
+            raise RuntimeError(
+                "You should only call this function only during training. "
+                "Please call _update() directly if you want to update the "
+                "field during inference."
+            )
+        if step % n == 0 and self.training:
+            self._update(
+                step=step,
+                occ_eval_fn=occ_eval_fn,
+                occ_thre=occ_thre,
+                ema_decay=ema_decay,
+                warmup_steps=warmup_steps,
+            )
+
+    @torch.no_grad()
+    def _sample_uniform_and_occupied_cells(self, n: int) -> List[Tensor]:
+        """Samples both n uniform and occupied cells."""
+        uniform_indices = torch.randint(len(self.tree), (n,), device=self.device)
+        occupied_indices = torch.nonzero(self.tree[:].values >= self.thresh)[:, 0]
+        if n < len(occupied_indices):
+            selector = torch.randint(len(occupied_indices), (n,), device=self.device)
+            occupied_indices = occupied_indices[selector]
+        indices = torch.cat([uniform_indices, occupied_indices], dim=0)
+        return indices
+
+    @torch.no_grad()
+    def _update(
+        self,
+        step: int,
+        occ_eval_fn: Callable,
+        occ_thre: float = 0.01,
+        ema_decay: float = 0.95,
+        warmup_steps: int = 256,
+    ) -> None:
+        """Update the occ field in the EMA way."""
+        if step < warmup_steps:
+            x = self.tree.sample(1).squeeze(1)
+            occ = occ_eval_fn(x).squeeze(-1)
+            sel = (*self.tree._all_leaves().T,)
+            self.tree.data.data[sel] = torch.maximum(self.tree.data.data[sel] * ema_decay, occ[:, None])
+        else:
+            N = len(self.tree) // 4
+            indices = self._sample_uniform_and_occupied_cells(N)
+            x = self.tree[indices].sample(1).squeeze(1)
+            occ = occ_eval_fn(x).squeeze(-1)
+            self.tree[indices] = torch.maximum(
+                self.tree[indices].values * ema_decay, occ[:, None]
+            )
+        self.thresh = min(occ_thre, self.tree[:].values.mean().item())
+
+
+if __name__ == "__main__":
+    roi_aabb = [-1.0, -1.0, -1.0, 1.0, 1.0, 1.0]
+    resolution = 128
+    levels = 4
+    estimator = N3TreeEstimator(roi_aabb, resolution, levels)
+
+    def occ_eval_fn(x):
+        return torch.rand(len(x), 1)
+
+    estimator.update_every_n_steps(0, occ_eval_fn, occ_thre=0.5)