Computed tomography (CT)

What did the neural network learn?

The frozen public-data study tests whether a residual U-Net improves on transparent interpolation. Its learning curve, comparisons, compute and unsuccessful branches remain inspectable.

Four neighbouring slices → one reconstructed centre

This conceptual diagram shows the actual model family, not a count of neurons or parameters. The encoder extracts context; skip connections carry detail to the decoder; a residual correction refines the centre estimate.

Residual U-Net: learn a correction to an interpolation baseline Four neighbouring slices feed a 24-channel encoder. Pooling and two 48-channel convolutions learn lower-resolution context. Bilinear upsampling and a skip connection restore detail. A 24-channel decoder predicts a one-channel residual, added to the linear baseline formed from the inner two input slices. This schematic shows implemented operations, not individual neurons. Learning what interpolation missesFour observed slices · one hidden centre · a learned residual correction −2 −1+1 +2 Feature encoder24 channels · 3×3 Shared spatial context48 → 48 channels · 3×3 Detail decoder24 channels · 3×3 Residual map1 channel · 3×3 Skip connection: concatenate fine detailMax poolingBilinear upsamplingInput context + Linear baseline from the two nearest slicesBaseline + learned correctionReconstructed centre
Implemented operation flow: 24-channel encoding, 48-channel context, skip concatenation, 24-channel decoding, then a one-channel correction added to linear interpolation. Blocks represent operations, not individual neurons.

The interactive CT page still runs interpolation. Opening this report does not train or load a neural checkpoint.

How the network learns and how we measured improvement

The task hides a known centre slice and provides four neighbouring slices as input. During training, the model compares its estimate with the retained centre image. It learns a correction to the linear-interpolation estimate. Two-dimensional convolutions use the four slices as channels: this is 2.5D context, rather than a full 3D acquisition generator.

The encoder learns local features, a smaller spatial representation captures context, and the decoder combines that context with fine details from a skip connection. A final addition combines the predicted residual map with the linear baseline. The interactive workbench continues to use the transparent interpolation methods; the trained network results are read from the frozen study.

The learning curve uses training pools of 2, 4, 8, 12 and 16 subjects and the same six evaluation subjects throughout. Across the recorded study there were 15 TensorFlow fits, 90 evaluation cells and 7,830 slice predictions. Comparison with linear and cubic interpolation uses the corresponding withheld images. Relative error reduction compares baseline error with neural error, divided by baseline error; the tables report the study’s recorded median summaries.

At 16 training subjects, the recorded median masked-slice MAE reduction versus linear interpolation is 22.45%, and all six fixed evaluation cases improved. The evaluation panel comes from one collection and had been examined in earlier work, so it supports internal engineering development. Whole-acquisition completion and clinical validation remain separate tasks.

Reading the neural measurements

Compare like-for-like measurements within the same evaluation scope. The table explains their units and direction before the results.

Neural reconstruction metric guide
MeasurementMeaning / scaleBetter direction
MAEMean absolute intensity error in HU; a percentage reduction is relative to the named baseline.Lower error; higher reduction
SSIMStructural similarity, unitless. Local masked measurements focus on hidden pixels; global measurements can include unchanged background.Closer to 1
Wasserstein distanceDifference between intensity distributions, in HU. Here it compares reconstructed and original slices; it does not require kVp groups.Lower
Edge errorDifference in image gradients, in HU per pixel; examines anatomical boundary changes.Lower

Structural similarity does not imply quantitative HU fidelity. Read complementary measures together and inspect the full sample scope.

Measured reconstruction gains

The complete published experiment journey

Negative and plateaued results are part of the evidence, not hidden versions.

Compute, provenance and interpretation