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Defect Detection from Compressed 3-D Ultrasonic Frequency Measurements

: Semper, Sebastian; Kirchhof, Jan; Wagner, Christoph; Krieg, Fabian; Römer, Florian; Galdo, Giovanni del


Bugallo, Mónica F. (General Chair) ; Institute of Electrical and Electronics Engineers -IEEE-; European Association for Signal Processing -EURASIP-:
27th European Signal Processing Conference, EUSIPCO 2019 : A Coruña, Spain, September 2-6, 2019
Piscataway, NJ: IEEE, 2019
ISBN: 978-9-0827-9703-9
ISBN: 978-90-827970-2-2
ISBN: 978-1-5386-7300-3
5 pp.
European Signal Processing Conference (EUSIPCO) <27, 2019, A Coruña/Spain>
Deutsche Forschungsgemeinschaft DFG
Fraunhofer-Gesellschaft FhG
Attract 025-601128
Conference Paper
Fraunhofer IZFP ()
3D ultrasonic imaging; Sparse Signal Recovery (SSR); compressive sensing; SAFT

In this paper, we propose a compressed sensing scheme for volumetric synthetic aperture measurements in ultrasonic nondestructive testing. The compression is achieved by limiting the measurement to a subset of the Fourier coefficients of the full measurement data, where we also address the issue of a suitable hardware architecture for the task. We present a theoretic analysis for one of the proposed schemes in terms of the Restricted Isometry Property and derive a scaling law for the lower bound of the number of necessary measurements for stable and efficient recovery. We verify our approach with reconstructions from measurement data of a steel specimen that was compressed synthetically in software. As a side result, our approach yields a variant of the 3-D Synthetic Aperture Focusing Technique which can deal with compressed data.