File size: 6,156 Bytes
3799002
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
"""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)            # soft indicator, differentiable
    viol = F.relu(sdf_tooth + margin_mm)
    loss_soft = (inside_canal * viol).mean()
    # ordering: penalize where s_tooth > s_canal - margin (canal not interior enough)
    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
    # only ask the centerline to be *just* inside (sdf < 0), clamped to a small band
    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)      # ~1 where predicted canal interior
    gt_outside = torch.clamp(gt_sdf_canal - band, min=0.0)  # >0 where GT clearly not canal
    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))                  # up-weight the (small) canal
    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