Learning sub-sampling and signal recovery with applications in ultrasound imaging

Iris A.M. Huijben (Corresponding author), Bastiaan S. Veeling, Kees Janse, Massimo Mischi, Ruud J. G. van Sloun

Research output: Contribution to journalArticleAcademicpeer-review

32 Citations (Scopus)
17 Downloads (Pure)


Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted considerable attention in recent years. Compressed sensing emerged as a popular framework for sparse signal reconstruction from a small set of compressed measurements. However, typical compressed sensing designs measure a (non)linearly weighted combination of all input signal elements, which poses practical challenges. These designs are also not necessarily task-optimal. In addition, realtime recovery is hampered by the iterative and time-consuming nature of sparse recovery algorithms. Recently, deep learning methods have shown promise for fast recovery from compressed measurements, but the design of adequate and practical sensing strategies remains a challenge. Here, we propose a deep learning solution termed Deep Probabilistic Sub-sampling (DPS), that enables joint optimization of a task-adaptive sub-sampling pattern and a subsequent neural task model in an end-to-end fashion. Once learned, the task-based sub-sampling patterns are fixed and straightforwardly implementable, e.g. by non-uniform analog-to-digital conversion, sparse array design, or slow-time ultrasound pulsing schemes. The effectiveness of our framework is demonstrated in-silico for sparse signal recovery from partial Fourier measurements, and in-vivo for both anatomical image and tissue-motion (Doppler) reconstruction from sub-sampled medical ultrasound imaging data.
Original languageEnglish
Article number9138467
Pages (from-to)3955-3966
Number of pages12
JournalIEEE Transactions on Medical Imaging
Issue number12
Early online date20 Jul 2020
Publication statusPublished - 1 Dec 2020


  • Deep learning
  • compressed sensing
  • probabilistic sampling
  • ultrasound imaging


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