Update app.py
Browse files
app.py
CHANGED
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@@ -1,25 +1,26 @@
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import os
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import pickle
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import warnings
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import numpy as np
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import torch
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import torch.nn as nn
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from math import sqrt
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import gradio as gr
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 1. Model definitions
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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class Sine(nn.Module):
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def __init__(self, w0
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super().__init__()
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self.w0 = w0
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def forward(self, x):
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return torch.sin(self.w0 * x)
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class SirenLayer(nn.Module):
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def __init__(self, dim_in, dim_out, w0=30.0, c=6.0,
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is_first=False, use_bias=True, activation=None):
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@@ -30,11 +31,9 @@ class SirenLayer(nn.Module):
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if use_bias:
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nn.init.uniform_(self.linear.bias, -w_std, w_std)
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self.activation = Sine(w0) if activation is None else activation
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def forward(self, x):
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return self.activation(self.linear(x))
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class Siren(nn.Module):
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def __init__(self, dim_in, dim_hidden, dim_out, num_layers,
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w0=30.0, w0_initial=30.0, use_bias=True, final_activation=None):
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@@ -50,149 +49,313 @@ class Siren(nn.Module):
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act = nn.Identity() if final_activation is None else final_activation
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self.last_layer = SirenLayer(dim_hidden, dim_out, w0=w0,
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use_bias=use_bias, activation=act)
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def forward(self, x):
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return self.last_layer(self.net(x))
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class SirenMRIModel(nn.Module):
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"""One Siren per axial slice, bundled into a single nn.Module."""
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def __init__(self, config):
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super().__init__()
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self.config = config
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self.models = nn.ModuleList([
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Siren(
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dim_out=config["vols"],
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num_layers=config["num_layers"],
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w0=config["w0"],
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w0_initial=config["w0_initial"],
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)
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for _ in range(config["sz"])
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])
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def forward(self, coords, slice_idx):
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return self.models[slice_idx](coords)
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 2. Load
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def load_assets():
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model_path
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)
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checkpoint = torch.load(model_path, map_location="cpu", weights_only=False)
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config = checkpoint["config"]
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model = SirenMRIModel(config)
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model.load_state_dict(checkpoint["model_state_dict"])
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model.eval()
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with warnings.catch_warnings():
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warnings.simplefilter("ignore")
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with open(scalers_path, "rb") as f:
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print("Loading modelβ¦")
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model, scalers, config, input_shape = load_assets()
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sx, sy, sz, vols = input_shape
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print(f"Model
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# ββββββββββββββοΏ½οΏ½οΏ½βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 3.
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def
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vol_idx = int(vol_idx)
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scaler = scalers[slice_idx]
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data_min = np.array(scaler.data_min_, dtype=np.float32)
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data_max = np.array(scaler.data_max_, dtype=np.float32)
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pred = pred * (data_max - data_min) + data_min
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img_uint8 = (img_norm * 255).astype(np.uint8)
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info = (
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f"Slice {slice_idx} | Volume {vol_idx} | "
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f"Shape: {img.shape} | "
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f"Intensity range: [{img_min:.3f}, {img_max:.3f}]"
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)
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return
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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#
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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""
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# π§ Physics-Informed SIREN MRI Compression
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Reconstruct diffusion MRI slices from the compressed SIREN neural representation.
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Select an axial slice and diffusion volume, then click **Reconstruct**.
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"""
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demo.launch()
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import os
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import pickle
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import warnings
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import tempfile
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import numpy as np
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import torch
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import torch.nn as nn
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from math import sqrt
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import gradio as gr
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import nibabel as nib
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from sklearn.preprocessing import MinMaxScaler
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 1. Model definitions
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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class Sine(nn.Module):
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def __init__(self, w0=1.0):
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super().__init__()
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self.w0 = w0
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def forward(self, x):
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return torch.sin(self.w0 * x)
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class SirenLayer(nn.Module):
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def __init__(self, dim_in, dim_out, w0=30.0, c=6.0,
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is_first=False, use_bias=True, activation=None):
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if use_bias:
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nn.init.uniform_(self.linear.bias, -w_std, w_std)
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self.activation = Sine(w0) if activation is None else activation
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def forward(self, x):
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return self.activation(self.linear(x))
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class Siren(nn.Module):
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def __init__(self, dim_in, dim_hidden, dim_out, num_layers,
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w0=30.0, w0_initial=30.0, use_bias=True, final_activation=None):
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act = nn.Identity() if final_activation is None else final_activation
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self.last_layer = SirenLayer(dim_hidden, dim_out, w0=w0,
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use_bias=use_bias, activation=act)
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def forward(self, x):
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return self.last_layer(self.net(x))
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class SirenMRIModel(nn.Module):
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def __init__(self, config):
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super().__init__()
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self.config = config
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self.models = nn.ModuleList([
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Siren(dim_in=2, dim_hidden=config["layer_size"],
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dim_out=config["vols"], num_layers=config["num_layers"],
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w0=config["w0"], w0_initial=config["w0_initial"])
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for _ in range(config["sz"])
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])
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def forward(self, coords, slice_idx):
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return self.models[slice_idx](coords)
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 2. Load pretrained model
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def load_assets():
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model_path, scalers_path = "sirenMRI_full_model_final.pt", "scalers.pkl"
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for p in (model_path, scalers_path):
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if not os.path.exists(p):
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raise FileNotFoundError(f"Missing: {p}")
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ckpt = torch.load(model_path, map_location="cpu", weights_only=False)
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cfg = ckpt["config"]
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mdl = SirenMRIModel(cfg)
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mdl.load_state_dict(ckpt["model_state_dict"])
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mdl.eval()
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with warnings.catch_warnings():
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warnings.simplefilter("ignore")
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with open(scalers_path, "rb") as f:
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scl = pickle.load(f)
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return mdl, scl, cfg, ckpt["input_shape"]
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print("β³ Loading modelβ¦")
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model, scalers, config, input_shape = load_assets()
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sx, sy, sz, vols = input_shape
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print(f"β
Model ready β {sx}Γ{sy}Γ{sz}, {vols} volumes")
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# ββββββββββββββοΏ½οΏ½οΏ½βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 3. Helper: normalise to uint8
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def to_uint8(arr):
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a, b = arr.min(), arr.max()
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return ((arr - a) / (b - a + 1e-8) * 255).astype(np.uint8)
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def to_coords(h, w):
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xs = torch.linspace(-1, 1, h)
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ys = torch.linspace(-1, 1, w)
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gx, gy = torch.meshgrid(xs, ys, indexing="ij")
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return torch.stack([gx.reshape(-1), gy.reshape(-1)], dim=-1)
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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# 4a. Reconstruct from pretrained model
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# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 110 |
|
| 111 |
+
def reconstruct_pretrained(slice_idx, vol_idx):
|
| 112 |
+
slice_idx, vol_idx = int(slice_idx), int(vol_idx)
|
| 113 |
+
coords = to_coords(sx, sy)
|
| 114 |
+
with torch.no_grad():
|
| 115 |
+
pred = model(coords, slice_idx).numpy()
|
| 116 |
scaler = scalers[slice_idx]
|
| 117 |
data_min = np.array(scaler.data_min_, dtype=np.float32)
|
| 118 |
data_max = np.array(scaler.data_max_, dtype=np.float32)
|
| 119 |
+
pred = pred * (data_max - data_min) + data_min
|
| 120 |
+
recon = pred.reshape(sx, sy, vols)[:, :, vol_idx]
|
| 121 |
+
img_min, img_max = recon.min(), recon.max()
|
| 122 |
+
stats = (
|
| 123 |
+
f"π Shape: {recon.shape} | "
|
| 124 |
+
f"π Intensity: [{img_min:.3f}, {img_max:.3f}] | "
|
| 125 |
+
f"π§ Slice {slice_idx} | π‘ Volume {vol_idx}"
|
|
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|
| 126 |
)
|
| 127 |
+
return to_uint8(recon), stats
|
|
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|
| 128 |
|
| 129 |
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 130 |
+
# 4b. Compress & reconstruct user-uploaded NIfTI
|
| 131 |
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 132 |
|
| 133 |
+
def compress_and_compare(nifti_file, slice_idx, vol_idx, num_iters, lr):
|
| 134 |
+
if nifti_file is None:
|
| 135 |
+
return None, None, "β οΈ Please upload a NIfTI file first."
|
|
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|
| 136 |
|
| 137 |
+
slice_idx = int(slice_idx)
|
| 138 |
+
vol_idx = int(vol_idx)
|
| 139 |
+
num_iters = int(num_iters)
|
| 140 |
+
|
| 141 |
+
try:
|
| 142 |
+
nii = nib.load(nifti_file.name)
|
| 143 |
+
img_data = nii.get_fdata().astype(np.float32)
|
| 144 |
+
except Exception as e:
|
| 145 |
+
return None, None, f"β Failed to load NIfTI: {e}"
|
| 146 |
+
|
| 147 |
+
# Handle 3D (single volume) or 4D
|
| 148 |
+
if img_data.ndim == 3:
|
| 149 |
+
img_data = img_data[..., np.newaxis]
|
| 150 |
+
if img_data.ndim != 4:
|
| 151 |
+
return None, None, "β Expected a 3D or 4D NIfTI file."
|
| 152 |
+
|
| 153 |
+
ux, uy, uz, uvols = img_data.shape
|
| 154 |
+
slice_idx = min(slice_idx, uz - 1)
|
| 155 |
+
vol_idx = min(vol_idx, uvols - 1)
|
| 156 |
+
|
| 157 |
+
# ββ Original slice ββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 158 |
+
orig_slice = img_data[:, :, slice_idx, vol_idx]
|
| 159 |
+
orig_img = to_uint8(orig_slice)
|
| 160 |
+
|
| 161 |
+
# ββ Quick SIREN fit on this one slice βββββββββββββββββββββββββββββββββββββ
|
| 162 |
+
img_slice = np.transpose(img_data[:, :, slice_idx, :], (2, 0, 1)) # (vols, h, w)
|
| 163 |
+
features = img_slice.reshape(uvols, -1).T # (h*w, vols)
|
| 164 |
+
|
| 165 |
+
scaler_u = MinMaxScaler(feature_range=(0, 1))
|
| 166 |
+
features_scaled = scaler_u.fit_transform(features).astype(np.float32)
|
| 167 |
+
|
| 168 |
+
siren_u = Siren(dim_in=2, dim_hidden=config["layer_size"],
|
| 169 |
+
dim_out=uvols, num_layers=config["num_layers"],
|
| 170 |
+
w0=config["w0"], w0_initial=config["w0_initial"])
|
| 171 |
+
opt = torch.optim.Adam(siren_u.parameters(), lr=float(lr))
|
| 172 |
+
loss_fn = nn.MSELoss()
|
| 173 |
+
|
| 174 |
+
coords_u = to_coords(ux, uy)
|
| 175 |
+
feat_t = torch.from_numpy(features_scaled)
|
| 176 |
+
|
| 177 |
+
siren_u.train()
|
| 178 |
+
losses = []
|
| 179 |
+
for it in range(num_iters):
|
| 180 |
+
opt.zero_grad()
|
| 181 |
+
pred = siren_u(coords_u)
|
| 182 |
+
loss = loss_fn(pred, feat_t)
|
| 183 |
+
loss.backward()
|
| 184 |
+
opt.step()
|
| 185 |
+
losses.append(loss.item())
|
| 186 |
+
|
| 187 |
+
# ββ Reconstruct βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 188 |
+
siren_u.eval()
|
| 189 |
+
with torch.no_grad():
|
| 190 |
+
pred_np = siren_u(coords_u).numpy()
|
| 191 |
+
|
| 192 |
+
pred_inv = scaler_u.inverse_transform(pred_np) # (h*w, vols)
|
| 193 |
+
recon_slice = pred_inv.reshape(ux, uy, uvols)[:, :, vol_idx]
|
| 194 |
+
recon_img = to_uint8(recon_slice)
|
| 195 |
+
|
| 196 |
+
# ββ PSNR ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 197 |
+
mse = np.mean((orig_slice - recon_slice) ** 2)
|
| 198 |
+
o_max = orig_slice.max()
|
| 199 |
+
psnr = 20 * np.log10(o_max / (np.sqrt(mse) + 1e-8)) if o_max > 0 else float("nan")
|
| 200 |
+
final_loss = losses[-1] if losses else float("nan")
|
| 201 |
+
|
| 202 |
+
stats = (
|
| 203 |
+
f"π Image: {ux}Γ{uy}Γ{uz}, {uvols} volumes | "
|
| 204 |
+
f"π― Slice {slice_idx}, Volume {vol_idx}\n"
|
| 205 |
+
f"π Final loss: {final_loss:.6f} | "
|
| 206 |
+
f"π‘ PSNR: {psnr:.2f} dB | "
|
| 207 |
+
f"π Iterations: {num_iters}"
|
| 208 |
)
|
| 209 |
+
return orig_img, recon_img, stats
|
| 210 |
|
| 211 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 212 |
+
# 5. Gradio UI
|
| 213 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 214 |
+
|
| 215 |
+
CSS = """
|
| 216 |
+
:root { --primary: #6366f1; --bg: #0f0f1a; --card: #1a1a2e; --border: #2d2d4e; }
|
| 217 |
+
body, .gradio-container { background: var(--bg) !important; color: #e2e8f0 !important; }
|
| 218 |
+
.gr-button-primary { background: linear-gradient(135deg,#6366f1,#8b5cf6) !important;
|
| 219 |
+
border: none !important; border-radius: 10px !important; font-weight: 700 !important;
|
| 220 |
+
letter-spacing: .5px; transition: transform .15s, box-shadow .15s; }
|
| 221 |
+
.gr-button-primary:hover { transform: translateY(-2px);
|
| 222 |
+
box-shadow: 0 8px 25px rgba(99,102,241,.45) !important; }
|
| 223 |
+
.gr-panel, .gr-box { background: var(--card) !important;
|
| 224 |
+
border: 1px solid var(--border) !important; border-radius: 14px !important; }
|
| 225 |
+
.gr-input, .gr-slider { background: #12122a !important; border-color: var(--border) !important; }
|
| 226 |
+
label { color: #a5b4fc !important; font-weight: 600 !important; }
|
| 227 |
+
.gr-markdown h1 { background: linear-gradient(135deg,#6366f1,#a78bfa);
|
| 228 |
+
-webkit-background-clip: text; -webkit-text-fill-color: transparent;
|
| 229 |
+
font-size: 2.2rem !important; font-weight: 800 !important; }
|
| 230 |
+
.gr-markdown h2 { color: #a5b4fc !important; font-size: 1.1rem !important; }
|
| 231 |
+
.tab-nav button { color: #a5b4fc !important; border-radius: 8px 8px 0 0 !important; }
|
| 232 |
+
.tab-nav button.selected { background: var(--card) !important;
|
| 233 |
+
border-bottom: 2px solid #6366f1 !important; color: #fff !important; }
|
| 234 |
+
footer { display: none !important; }
|
| 235 |
+
"""
|
| 236 |
+
|
| 237 |
+
with gr.Blocks(css=CSS, title="SIREN MRI Compression") as demo:
|
| 238 |
+
|
| 239 |
+
# ββ Header ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 240 |
+
gr.Markdown("""
|
| 241 |
+
# π§ Physics-Informed SIREN MRI Compression
|
| 242 |
+
## Neural implicit representation for diffusion MRI β compress, reconstruct & compare
|
| 243 |
+
---
|
| 244 |
+
""")
|
| 245 |
+
|
| 246 |
+
with gr.Tabs():
|
| 247 |
+
|
| 248 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 249 |
+
# TAB 1 β Pretrained model explorer
|
| 250 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 251 |
+
with gr.Tab("π¬ Explore Pretrained Model"):
|
| 252 |
+
gr.Markdown("""
|
| 253 |
+
### Explore the model trained on the MGH-1010 diffusion dataset
|
| 254 |
+
Adjust the sliders and click **Reconstruct** to visualise any slice and volume.
|
| 255 |
+
""")
|
| 256 |
+
with gr.Row():
|
| 257 |
+
with gr.Column(scale=1):
|
| 258 |
+
sl1 = gr.Slider(0, sz-1, value=sz//2, step=1, label=f"Axial Slice (0 β {sz-1})")
|
| 259 |
+
vl1 = gr.Slider(0, vols-1, value=0, step=1, label=f"Diffusion Volume (0 β {vols-1})")
|
| 260 |
+
btn1 = gr.Button("βΆ Reconstruct", variant="primary")
|
| 261 |
+
stats1 = gr.Textbox(label="Statistics", lines=2, interactive=False)
|
| 262 |
+
|
| 263 |
+
gr.Markdown(f"""
|
| 264 |
+
---
|
| 265 |
+
**Model config**
|
| 266 |
+
| Parameter | Value |
|
| 267 |
+
|---|---|
|
| 268 |
+
| Type | `{config['model'].upper()}` |
|
| 269 |
+
| Layers | `{config['num_layers']}` |
|
| 270 |
+
| Hidden size | `{config['layer_size']}` |
|
| 271 |
+
| wβ | `{config['w0']}` |
|
| 272 |
+
| Slices | `{sz}` |
|
| 273 |
+
| Volumes | `{vols}` |
|
| 274 |
+
""")
|
| 275 |
+
|
| 276 |
+
with gr.Column(scale=2):
|
| 277 |
+
out1 = gr.Image(label="Reconstructed Slice", type="numpy",
|
| 278 |
+
elem_id="recon_img", height=420)
|
| 279 |
+
|
| 280 |
+
btn1.click(reconstruct_pretrained,
|
| 281 |
+
inputs=[sl1, vl1],
|
| 282 |
+
outputs=[out1, stats1])
|
| 283 |
+
|
| 284 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 285 |
+
# TAB 2 β Upload your own NIfTI
|
| 286 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 287 |
+
with gr.Tab("π Upload & Compress Your Own MRI"):
|
| 288 |
+
gr.Markdown("""
|
| 289 |
+
### Upload your own diffusion MRI in NIfTI format
|
| 290 |
+
The app will fit a SIREN network to the selected slice on-the-fly and show you
|
| 291 |
+
**original vs reconstructed** side by side.
|
| 292 |
+
> β οΈ For speed, only the selected slice is fitted. Use more iterations for better quality.
|
| 293 |
+
""")
|
| 294 |
+
with gr.Row():
|
| 295 |
+
with gr.Column(scale=1):
|
| 296 |
+
nifti_upload = gr.File(
|
| 297 |
+
label="Upload NIfTI file (.nii or .nii.gz)",
|
| 298 |
+
file_types=[".nii", ".gz"],
|
| 299 |
+
)
|
| 300 |
+
sl2 = gr.Slider(0, 200, value=50, step=1, label="Axial Slice")
|
| 301 |
+
vl2 = gr.Slider(0, 551, value=0, step=1, label="Diffusion Volume")
|
| 302 |
+
with gr.Row():
|
| 303 |
+
n_iters = gr.Slider(100, 2000, value=500, step=100,
|
| 304 |
+
label="Training Iterations")
|
| 305 |
+
lr_inp = gr.Slider(1e-4, 1e-2, value=3e-4, step=1e-4,
|
| 306 |
+
label="Learning Rate")
|
| 307 |
+
btn2 = gr.Button("π Compress & Compare", variant="primary")
|
| 308 |
+
stats2 = gr.Textbox(label="Results", lines=3, interactive=False)
|
| 309 |
+
|
| 310 |
+
with gr.Column(scale=2):
|
| 311 |
+
with gr.Row():
|
| 312 |
+
orig_img = gr.Image(label="π· Original Slice",
|
| 313 |
+
type="numpy", height=380)
|
| 314 |
+
recon_img = gr.Image(label="π€ SIREN Reconstruction",
|
| 315 |
+
type="numpy", height=380)
|
| 316 |
+
|
| 317 |
+
btn2.click(compress_and_compare,
|
| 318 |
+
inputs=[nifti_upload, sl2, vl2, n_iters, lr_inp],
|
| 319 |
+
outputs=[orig_img, recon_img, stats2])
|
| 320 |
+
|
| 321 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 322 |
+
# TAB 3 β About
|
| 323 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 324 |
+
with gr.Tab("βΉοΈ About"):
|
| 325 |
+
gr.Markdown(f"""
|
| 326 |
+
## About this App
|
| 327 |
+
|
| 328 |
+
**Physics-Informed SIREN MRI Compression** uses sinusoidal representation networks
|
| 329 |
+
(SIRENs) to learn a compact neural implicit representation of diffusion MRI data.
|
| 330 |
+
|
| 331 |
+
### How it works
|
| 332 |
+
1. Each axial slice is represented by a small MLP with **sine activations** (SIREN)
|
| 333 |
+
2. The network maps 2D spatial coordinates **(x, y) β signal intensities** across all diffusion volumes
|
| 334 |
+
3. A **physics-informed loss** (Stejskal-Tanner constraint) regularises the network
|
| 335 |
+
4. At inference time, coordinates are queried to reconstruct the full slice
|
| 336 |
+
|
| 337 |
+
### Key advantages
|
| 338 |
+
- ποΈ **High compression ratio** β one small network per slice replaces raw voxel data
|
| 339 |
+
- β‘ **Resolution-agnostic** β can reconstruct at any spatial resolution
|
| 340 |
+
- π¬ **Physics-aware** β diffusion signal constraints improve anatomical fidelity
|
| 341 |
+
- π§© **No codec artefacts** β continuous representation, no JPEG/JPEG2000 blocking
|
| 342 |
+
|
| 343 |
+
### Model trained on
|
| 344 |
+
[MGH-1010 Connectome Diffusion Microstructure Dataset](https://www.kaggle.com/datasets)
|
| 345 |
+
|
| 346 |
+
| Property | Value |
|
| 347 |
+
|---|---|
|
| 348 |
+
| Architecture | `{config['model'].upper()}` |
|
| 349 |
+
| Layers | `{config['num_layers']}` |
|
| 350 |
+
| Hidden units | `{config['layer_size']}` |
|
| 351 |
+
| wβ | `{config['w0']}` |
|
| 352 |
+
| Spatial slices | `{sz}` |
|
| 353 |
+
| Diffusion volumes | `{vols}` |
|
| 354 |
+
| Training data shape | `{sx} Γ {sy} Γ {sz} Γ {vols}` |
|
| 355 |
+
|
| 356 |
+
### References
|
| 357 |
+
- Sitzmann et al. (2020) β *Implicit Neural Representations with Periodic Activation Functions*
|
| 358 |
+
- Stejskal & Tanner (1965) β *Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient*
|
| 359 |
+
""")
|
| 360 |
|
| 361 |
demo.launch()
|