| """Stage-2 loss terms (upgraded). |
| |
| sdf : clamped L1 distance regression (near-surface weighted) |
| eikonal : ||grad||=1 regularizer (valid distance field) |
| occ : Dice on soft occupancy = sigmoid(-sdf/tau) |
| normal : 1 - cos(pred_normal, gt_normal) near the surface (tooth AND canal) |
| nest : containment -- canal interior must lie inside the tooth. |
| Now two complementary terms: |
| (a) soft penalty: canal-inside points that fall outside the tooth |
| (b) hard SDF ordering: s_canal(x) >= s_tooth(x) + margin everywhere, |
| which geometrically guarantees the canal surface is interior. |
| prior : latent code L2 regularizer |
| """ |
| import torch |
| import torch.nn.functional as F |
|
|
|
|
| def sdf_l1(pred, gt, clamp_mm=2.0, near_w=4.0): |
| p = torch.clamp(pred, -clamp_mm, clamp_mm) |
| g = torch.clamp(gt, -clamp_mm, clamp_mm) |
| w = 1.0 + near_w * torch.exp(-(g ** 2) / (0.5 ** 2)) |
| return (w * (p - g).abs()).mean() |
|
|
|
|
| def eikonal(grad): |
| n = grad.norm(dim=-1) |
| return ((n - 1.0) ** 2).mean() |
|
|
|
|
| def occupancy_dice(pred_sdf, gt_sdf, tau=0.3, eps=1e-5): |
| p = torch.sigmoid(-pred_sdf / tau) |
| g = (gt_sdf < 0).float() |
| inter = (p * g).sum() |
| return 1.0 - (2 * inter + eps) / (p.sum() + g.sum() + eps) |
|
|
|
|
| def normal_loss(pred_grad, gt_normal, gt_sdf, band_mm=0.5): |
| mask = (gt_sdf.abs() < band_mm).float() |
| if mask.sum() < 1: |
| return pred_grad.sum() * 0.0 |
| pn = F.normalize(pred_grad, dim=-1) |
| cos = (pn * gt_normal).sum(-1) |
| return ((1.0 - cos) * mask).sum() / (mask.sum() + 1e-6) |
|
|
|
|
| def containment(sdf_tooth, sdf_canal, margin_mm=0.2): |
| """Two-part containment. |
| (a) soft: points predicted inside the canal (s_canal<0) but outside the tooth |
| (s_tooth>-margin) are penalized by how far outside they are. |
| (b) hard ordering: everywhere, s_canal should be >= s_tooth + margin (the canal |
| is strictly inside, so its signed distance is 'more positive' / less negative |
| only near its own surface -- enforcing ordering keeps the canal interior). |
| Returns (loss_soft, loss_order).""" |
| inside_canal = torch.sigmoid(-sdf_canal / 0.1) |
| viol = F.relu(sdf_tooth + margin_mm) |
| loss_soft = (inside_canal * viol).mean() |
| |
| loss_order = F.relu(sdf_tooth - sdf_canal + margin_mm).mean() |
| return loss_soft, loss_order |
|
|
|
|
| def latent_prior(z): |
| return (z ** 2).mean() |
|
|
|
|
| def centerline_loss(pred_sdf_canal, on_center, margin_mm=0.3): |
| """SOFT clDice-style continuity: encourage centerline points to be inside the |
| predicted canal, but with a HINGE that saturates -- it does not keep pushing the |
| SDF arbitrarily negative (which previously inflated phantom canal volume). We clamp |
| the violation so a single noisy centerline point can't blow up the canal.""" |
| w = on_center |
| if w.sum() < 1: |
| return pred_sdf_canal.sum() * 0.0 |
| |
| viol = torch.clamp(pred_sdf_canal + margin_mm, min=0.0, max=margin_mm * 2.0) |
| return (w * viol).sum() / (w.sum() + 1e-6) |
|
|
|
|
| def smoothness_loss(pred_sdf_canal, gt_sdf_canal, clamp_mm=2.0): |
| """Volume-control / anti-phantom regularizer (robust replacement for the hard |
| centerline constraint that previously inflated canal volume). Penalizes predicted |
| canal INTERIOR (sdf<0) wherever the GROUND-TRUTH canal is clearly OUTSIDE |
| (gt_sdf > band): i.e. the model is hallucinating canal where there is none. This |
| directly fights the chamfer-exploding phantom blobs without touching real canal.""" |
| band = 0.6 |
| pred_inside = torch.sigmoid(-pred_sdf_canal / 0.1) |
| gt_outside = torch.clamp(gt_sdf_canal - band, min=0.0) |
| return (pred_inside * gt_outside).mean() |
|
|
|
|
| def stage2_total(pred_sdf, grads, batch, z, cfg): |
| """Assemble the weighted total loss + a dict of components.""" |
| w = cfg["stage2"]["loss_weights"] |
| s2 = cfg["stage2"] |
| cw = float(s2.get("canal_weight", 2.0)) |
| st, sc = pred_sdf[..., 0], pred_sdf[..., 1] |
| gt_t, gt_c = batch["sdf_tooth"], batch["sdf_canal"] |
|
|
| l_sdf = sdf_l1(st, gt_t, s2["sdf_clamp_mm"]) + cw * sdf_l1(sc, gt_c, s2["sdf_clamp_mm"]) |
| l_occ = occupancy_dice(st, gt_t, s2["occ_tau_mm"]) + \ |
| cw * occupancy_dice(sc, gt_c, s2["occ_tau_mm"]) |
| l_soft, l_order = containment(st, sc, s2["margin_mm"]) |
| l_nest = l_soft + float(s2.get("order_weight", 1.0)) * l_order |
| l_prior = latent_prior(z) |
| if "on_center" in batch: |
| l_center = centerline_loss(sc, batch["on_center"], s2["margin_mm"]) |
| else: |
| l_center = torch.zeros((), device=st.device) |
| l_smooth = smoothness_loss(sc, gt_c, s2["sdf_clamp_mm"]) |
|
|
| if grads is not None: |
| l_eik = eikonal(grads["tooth"]) + eikonal(grads["canal"]) |
| l_nrm = normal_loss(grads["tooth"], batch["nrm_tooth"], gt_t) |
| if "nrm_canal" in batch: |
| l_nrm = l_nrm + cw * normal_loss(grads["canal"], batch["nrm_canal"], gt_c) |
| else: |
| l_eik = torch.zeros((), device=st.device) |
| l_nrm = torch.zeros((), device=st.device) |
|
|
| total = (w["sdf"] * l_sdf + w["eikonal"] * l_eik + w["occ"] * l_occ + |
| w["normal"] * l_nrm + w["nest"] * l_nest + w["prior"] * l_prior + |
| w.get("centerline", 0.0) * l_center + w.get("smoothness", 0.0) * l_smooth) |
| comps = dict(sdf=float(l_sdf.detach()), |
| eik=float(l_eik.detach() if hasattr(l_eik, 'detach') else l_eik), |
| occ=float(l_occ.detach()), |
| nrm=float(l_nrm.detach() if hasattr(l_nrm, 'detach') else l_nrm), |
| nest=float(l_nest.detach()), |
| center=float(l_center.detach() if hasattr(l_center, 'detach') else l_center), |
| smooth=float(l_smooth.detach() if hasattr(l_smooth, 'detach') else l_smooth), |
| prior=float(l_prior.detach()), |
| total=float(total.detach())) |
| return total, comps |
|
|