| """Networks. |
| |
| get_unet : MONAI 3D U-Net for Stage-1 semantic segmentation. |
| ImplicitNet : Stage-2 core. A 3D CNN encoder turns the ROI into a feature grid; |
| a coordinate MLP, conditioned on (position, interpolated feature, |
| per-instance latent code z), predicts TWO signed distances |
| (tooth outer surface, canal inner surface). |
| """ |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
|
|
| def trilinear_sample_feat(feat, p): |
| """Hand-written differentiable trilinear sampling on a feature volume. |
| |
| feat: [B, C, X, Y, Z] (channel-first, axis order x,y,z) |
| p : [B, N, 3] normalized coords in [-1, 1] in (x, y, z) order |
| |
| Returns: [B, N, C]. Supports second-order autograd on `p`, which |
| PyTorch's grid_sample does not (grid_sampler_3d_backward has no derivative). |
| Out-of-bounds samples are clamped to the border. |
| """ |
| B, C, X, Y, Z = feat.shape |
| sizes = torch.tensor([X, Y, Z], device=p.device, dtype=p.dtype) |
| |
| px = (p + 1.0) * 0.5 * (sizes - 1) |
| px = torch.stack([px[..., k].clamp(0, sizes[k] - 1) for k in range(3)], -1) |
| x0 = px[..., 0].floor(); x1 = (x0 + 1).clamp(max=X - 1) |
| y0 = px[..., 1].floor(); y1 = (y0 + 1).clamp(max=Y - 1) |
| z0 = px[..., 2].floor(); z1 = (z0 + 1).clamp(max=Z - 1) |
| xd = (px[..., 0] - x0).unsqueeze(-1) |
| yd = (px[..., 1] - y0).unsqueeze(-1) |
| zd = (px[..., 2] - z0).unsqueeze(-1) |
| x0i, x1i = x0.long(), x1.long() |
| y0i, y1i = y0.long(), y1.long() |
| z0i, z1i = z0.long(), z1.long() |
| |
| feat_flat = feat.permute(0, 2, 3, 4, 1).contiguous() |
| bidx = torch.arange(B, device=p.device).view(B, 1).expand(-1, p.shape[1]) |
|
|
| def g(xi, yi, zi): |
| return feat_flat[bidx, xi, yi, zi] |
|
|
| c00 = g(x0i, y0i, z0i) * (1 - xd) + g(x1i, y0i, z0i) * xd |
| c01 = g(x0i, y0i, z1i) * (1 - xd) + g(x1i, y0i, z1i) * xd |
| c10 = g(x0i, y1i, z0i) * (1 - xd) + g(x1i, y1i, z0i) * xd |
| c11 = g(x0i, y1i, z1i) * (1 - xd) + g(x1i, y1i, z1i) * xd |
| c0 = c00 * (1 - yd) + c10 * yd |
| c1 = c01 * (1 - yd) + c11 * yd |
| return c0 * (1 - zd) + c1 * zd |
|
|
|
|
| def get_unet(num_classes=3, channels=(16, 32, 64, 128, 256)): |
| from monai.networks.nets import UNet |
| return UNet( |
| spatial_dims=3, in_channels=1, out_channels=num_classes, |
| channels=channels, strides=(2,) * (len(channels) - 1), |
| num_res_units=2, norm="instance", |
| ) |
|
|
|
|
| class Encoder3D(nn.Module): |
| """U-Net-style ROI encoder producing TWO feature grids: |
| - feat_fine : high-resolution (1/2 of input) -> preserves local canal detail |
| - feat_coarse: low-resolution (1/8 of input) -> global tooth context |
| Per-point queries sample BOTH (ConvONet-style local implicit features), so thin |
| structures keep their detail instead of being averaged into one global vector.""" |
| def __init__(self, ch=(32, 64, 128), feat_dim=64): |
| super().__init__() |
| c1, c2, c3 = ch |
| |
| self.e0 = nn.Sequential(nn.Conv3d(1, c1, 3, padding=1), nn.GroupNorm(8, c1), nn.SiLU(), |
| nn.Conv3d(c1, c1, 3, padding=1), nn.GroupNorm(8, c1), nn.SiLU()) |
| self.d1 = nn.Conv3d(c1, c1, 3, stride=2, padding=1) |
| self.e1 = nn.Sequential(nn.Conv3d(c1, c2, 3, padding=1), nn.GroupNorm(8, c2), nn.SiLU(), |
| nn.Conv3d(c2, c2, 3, padding=1), nn.GroupNorm(8, c2), nn.SiLU()) |
| self.d2 = nn.Conv3d(c2, c2, 3, stride=2, padding=1) |
| self.e2 = nn.Sequential(nn.Conv3d(c2, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU(), |
| nn.Conv3d(c3, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU()) |
| self.d3 = nn.Conv3d(c3, c3, 3, stride=2, padding=1) |
| self.bott = nn.Sequential(nn.Conv3d(c3, c3, 3, padding=1), nn.GroupNorm(8, c3), nn.SiLU()) |
| |
| self.head_fine = nn.Conv3d(c1, feat_dim, 1) |
| self.head_coarse = nn.Conv3d(c3, feat_dim, 1) |
| self.feat_dim = feat_dim |
|
|
| def forward(self, x): |
| h0 = self.e0(x) |
| h1 = self.e1(self.d1(h0)) |
| h2 = self.e2(self.d2(h1)) |
| hb = self.bott(self.d3(h2)) |
| |
| fine = self.head_fine(F.avg_pool3d(h0, 2)) |
| coarse = self.head_coarse(hb) |
| return fine, coarse |
|
|
|
|
| class ImplicitDecoder(nn.Module): |
| def __init__(self, feat_dim=64, latent_dim=64, hidden=256, layers=5): |
| super().__init__() |
| |
| in_dim = 3 + feat_dim + feat_dim + latent_dim |
| net = [nn.Linear(in_dim, hidden), nn.SiLU()] |
| for _ in range(layers - 2): |
| net += [nn.Linear(hidden, hidden), nn.SiLU()] |
| self.backbone = nn.Sequential(*net) |
| self.out = nn.Linear(hidden, 2) |
|
|
| def forward(self, feats): |
| return self.out(self.backbone(feats)) |
|
|
|
|
| class ImplicitNet(nn.Module): |
| def __init__(self, num_instances, cfg): |
| super().__init__() |
| s2 = cfg["stage2"] |
| self.feat_dim = s2["feat_dim"] |
| self.latent_dim = s2["latent_dim"] |
| self.encoder = Encoder3D(tuple(s2["enc_channels"]), self.feat_dim) |
| self.decoder = ImplicitDecoder(self.feat_dim, self.latent_dim, |
| s2["mlp_hidden"], s2["mlp_layers"]) |
| self.latents = nn.Embedding(max(num_instances, 1), self.latent_dim) |
| nn.init.normal_(self.latents.weight, 0.0, 0.01) |
| |
| |
| self.use_encoder_latent = bool(s2.get("encoder_latent", False)) |
| if self.use_encoder_latent: |
| self.latent_head = nn.Sequential( |
| nn.AdaptiveAvgPool3d(1), nn.Flatten(), |
| nn.Linear(self.feat_dim, self.latent_dim)) |
|
|
| def encode(self, roi): |
| |
| return self.encoder(roi) |
|
|
| def latent_from_feat(self, feat, gid=None): |
| """Global latent (now just CONTEXT, secondary to local features). Pooled from |
| the coarse grid. With encoder_latent on, predicted from the image alone.""" |
| fine, coarse = feat |
| if self.use_encoder_latent: |
| z = self.latent_head(coarse) |
| if gid is not None and self.training: |
| z = z + self.latents(gid) |
| return z |
| return self.latents(gid) |
|
|
| def query(self, feat, coords_mm, half_mm, z, compute_grad=False): |
| """feat: (fine_grid, coarse_grid). For each query point we trilinearly sample |
| BOTH grids -> local detail (fine) + global context (coarse), concat with the |
| global latent z. This is the ConvONet-style local-implicit decode that keeps |
| thin canal detail instead of averaging it into one global vector.""" |
| fine, coarse = feat |
| B, N = coords_mm.shape[0], coords_mm.shape[1] |
| if compute_grad: |
| coords_mm = coords_mm.clone().requires_grad_(True) |
| if torch.is_tensor(half_mm): |
| half = half_mm.view(B, 1, 1) |
| else: |
| half = half_mm |
| p = coords_mm / half |
| f_fine = trilinear_sample_feat(fine, p) |
| f_coarse = trilinear_sample_feat(coarse, p) |
| zexp = z[:, None, :].expand(-1, N, -1) |
| inp = torch.cat([p, f_fine, f_coarse, zexp], dim=-1) |
| sdf = self.decoder(inp) |
|
|
| grads = None |
| if compute_grad: |
| grads = {} |
| for k, name in [(0, "tooth"), (1, "canal")]: |
| g = torch.autograd.grad( |
| sdf[..., k].sum(), coords_mm, create_graph=self.training, |
| retain_graph=True)[0] |
| grads[name] = g |
| return sdf, grads |
|
|
| def forward(self, roi, gid, coords_mm, half_mm, compute_grad=False): |
| feat = self.encode(roi) |
| z = self.latent_from_feat(feat, gid) |
| return self.query(feat, coords_mm, half_mm, z, compute_grad) |
|
|