mmIR: Frequency-Space Inverse Rendering for 3D Millimeter-Wave Radar ADC Synthesis
Organizations: Cornell Tech, New York, NY, USA
Abstract
High-resolution 3D radar data is scarce. Commodity mmWave sensors use small antenna arrays that limit angular resolution to several degrees, and existing datasets provide only 2D range-azimuth maps or sparse point clouds rather than raw analog-to-digital converter (ADC) signals. Hardware scaling is expensive, synthetic-aperture scanning is impractical at fleet scale, and learned synthesis methods are bottlenecked by the very data shortage they aim to address. We present mmIR, an open-source differentiable frequency-modulated continuous-wave (FMCW) radar inverse renderer that fits a physics-based forward model to real captures and re-renders from dense virtual apertures to synthesize high-resolution 3D radar data. Because radar resolution is too coarse to recover geometry directly, mmIR performs LiDAR-assisted inverse rendering: using LiDAR-derived meshes as a geometric scaffold, mmIR optimizes per-vertex International Telecommunication Union (ITU) physics materials, vertex normals, and antenna beam patterns through end-to-end automatic differentiation of a phase-coherent multiple-input multiple-output (MIMO) forward model with multi-bounce propagation, polarization, and free-space diffraction. On seven outdoor and six indoor ColoRadar scenes, mmIR achieves 0.914 mean Pearson correlation on range-azimuth maps versus 0.307 for Sionna-RT. Scenes trained on a cascaded imaging radar transfer to a co-located single-chip radar without re-training (0.554 correlation), and dense virtual arrays (100x100 elements) produce single-frame 3D occupancy validated against LiDAR. Project page: https://mmwave-inverse-rendering.github.io/
Figures & tables
| Method | Open | Repr. | Signal | Multi-b. | Diffr. | Polar. | Geom. | Norm. | Mat. | Pose | Beam | Per-vtx | Bound. | Real |
| Sionna-RT [ 18 ] | Mesh | CIR | – | – | No BRDF | – | – | – | – | |||||
| SFCW Inv. [ 17 ] | Mesh | IF | – | – | – | Shading | Pos. | – | – | |||||
| InverTwin [ 10 ] | – | Mesh | CIR | – | – | No BRDF | – | – | ||||||
| mmIR (Ours) | Mesh | ADC |
| RA Correlation | RA PSNR | RA SSIM | RA RMSE | ADC Log-Mag MSE | ADC MM-Mag MSE | |||||||
| Scene | Ours | Sionna-RT | Ours | Sionna-RT | Ours | Sionna-RT | Ours | Sionna-RT | Ours | Sionna-RT | Ours | Sionna-RT |
| Outdoor (7 scenes) | ||||||||||||
| S0-F135 | 0.921 | 0.418 | 37.4 | 21.4 | 0.938 | 0.509 | 0.0135 | 0.0850 | 48.3271 | 244.8361 | 0.0421 | 0.0469 |
| S0-F390 | 0.936 | 0.242 | 41.0 | 23.4 | 0.937 | 0.550 | 0.0089 | 0.0674 | 5.0250 | 294.3032 | 0.0289 | 0.0417 |
| S1-F185 | 0.954 | 0.312 | 39.8 | 18.9 | 0.926 | 0.326 | 0.0102 | 0.1138 | 32.3385 | 282.6453 | 0.0398 | 0.0461 |
| S1-F438 | 0.942 | 0.346 | 37.7 | 19.9 | 0.926 | 0.401 | 0.0130 | 0.1008 | 32.5274 | 288.9782 | 0.0369 | 0.0435 |
| RA Correlation | RA PSNR | RA SSIM | RA RMSE | ADC Log-Mag MSE | ADC MM-Mag MSE | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Scene | Ours | Bench. | Ours | Bench. | Ours | Bench. | Ours | Bench. | Ours | Bench. | Ours | Bench. |
| S0-F135 | 0.533 | 0.002 | 25.6 | 17.8 | 0.505 | 0.464 | 0.0524 | 0.1283 | 10.9639 | 301.4341 | 0.2194 | 0.0668 |
| S0-F390 | 0.464 | 0.328 | 21.2 | 24.2 | 0.529 | 0.566 | 0.0873 | 0.0619 | 12.9644 | 331.2549 | 0.0630 | 0.0840 |
| S1-F185 | 0.567 | 0.136 | 22.4 | 20.1 | 0.422 | 0.480 | 0.0759 | 0.0990 | 0.5754 | 324.8441 | 0.1993 | 0.0771 |
| S1-F438 | 0.684 | 0.079 | 23.2 | 13.5 | 0.674 | 0.202 | 0.0694 | 0.2119 | 21.8672 | 348.0237 | 0.1507 | 0.0662 |
| S2-F105 | 0.608 | 0.084 | 24.7 | 22.8 | 0.609 | 0.690 | 0.0583 | 0.0721 | 3.4458 | 289.7929 | 0.1959 | 0.1068 |
| Precision | Recall | F1 | Accuracy | RMSE | R-CD | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Scene | Ours | ColoR | Ours | ColoR | Ours | ColoR | Ours | ColoR | Ours | ColoR | Ours | ColoR |
| S0-F135 | 0.077 | 0.223 | 0.018 | 0.054 | 0.029 | 0.087 | 0.044 | 0.057 | 2.324 | 3.302 | 0.248 | 0.228 |
| S0-F390 | 0.481 | 0.045 | 0.110 | 0.014 | 0.179 | 0.021 | 0.212 | 0.017 | 2.692 | 2.745 | 0.216 | 0.207 |
| S1-F185 | 0.997 | 0.483 | 0.566 | 0.082 | 0.722 | 0.141 | 0.703 | 0.103 | 0.909 | 2.380 | 0.067 | 0.236 |
| S1-F438 | 0.633 | 0.433 | 0.265 | 0.117 | 0.373 | 0.185 | 0.362 | 0.131 | 1.511 | 3.339 | 0.116 | 0.268 |
| S2-F105 | 0.771 | 0.154 | 0.162 | 0.025 | 0.268 | 0.044 | 0.340 | 0.029 | 1.099 | 3.402 | 0.113 | 0.282 |