用球谐函数建模声波方向性,提升3D声呐成像精度。
SH-SAS: An Implicit Neural Representation for Complex Spherical-Harmonic Scattering Fields for 3D Synthetic Aperture Sonar
- 用球谐系数隐式表示声散射场,支持方向依赖建模。
- 在真实与合成数据上均优于传统方法,重建质量更优。
- 直接从时延信号训练,无需中间图像监督,效率更高。
合成孔径声呐(SAS)重建需恢复声散射体的空间分布及其方向相关响应。时域逆投影是最常见的3D SAS重建算法,但不建模方向性,且受采样限制、混叠和遮挡影响。先前的神经体积方法将每个体素视为各向同性散射密度,未捕捉各向异性回波。本文提出SH-SAS,一种隐式神经表示,将复杂声散射场表达为一组球谐(SH)系数。多分辨率哈希编码器驱动轻量级MLP,输出至指定阶数L的复数SH系数。零阶系数作为各向同性散射场,同时充当密度项;高阶系数以极少参数开销紧凑捕获方向性散射。由于模型可预测任意发射-接收基线的复振幅,训练直接基于一维飞行时间信号,无需对中间图像进行波束成形以供监督。在合成及真实SAS(含空中与水下)基准测试中,结果表明SH-SAS在3D重建质量和几何指标上均优于先前方法。
原文摘要 · Abstract (English)
Synthetic aperture sonar (SAS) reconstruction requires recovering both the spatial distribution of acoustic scatterers and their direction-dependent response. Time-domain backprojection is the most common 3D SAS reconstruction algorithm, but it does not model directionality and can suffer from sampling limitations, aliasing, and occlusion. Prior neural volumetric methods applied to synthetic aperture sonar treat each voxel as an isotropic scattering density, not modeling anisotropic returns. We introduce SH-SAS, an implicit neural representation that expresses the complex acoustic scattering field as a set of spherical harmonic (SH) coefficients. A multi-resolution hash encoder feeds a lightweight MLP that outputs complex SH coefficients up to a specified degree L. The zeroth-order coefficient acts as an isotropic scattering field, which also serves as the density term, while higher orders compactly capture directional scattering with minimal parameter overhead. Because the model predicts the complex amplitude for any transmit-receive baseline, training is performed directly from 1-D time-of-flight signals without the need to beamform intermediate images for supervision. Across synthetic and real SAS (both in-air and underwater) benchmarks, results show that SH-SAS performs better in terms of 3D reconstruction quality and geometric metrics than previous methods.
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