Renaissance of the Sampling Theory

About project

Signal sampling and reconstruction are a central part of the digital signal processing (DSP) - the sampling theorem provides a bridge between the continuous and discrete-time world in modern electronic devices, smartphones, cameras and medical equipment. Compressive sensing (CS) is a technique that relies on finite rate of innovation in order to reduce the number of measurements needed for statistically reliable reconstruction. Rapid advances in this research area bring a renaissance of the sampling theory, mostly due to its significance to the DSP community.

Our research contributes to this challenging field in several aspects. New post-sampling paradigm will be based on hybrid continuous-discrete data models and processing methods. It will enable continuous signal processing on a digital computer without the discrete approximation based on samples.

Moreover, novel optimal and adaptive measurement approaches will be introduced. Exploratory measurements will be proposed to overcome certain drawbacks of the CS dimensionality reduction. Recently, a deep learning based approach resulted in a rapid advance of supervised learning methods. We will apply machine learning methods to achieve high quality and fast CS reconstruction.

Applications that will benefit from our research results are multi-view and light field imaging, 3D reconstruction and medical imaging, namely positron emission tomography (PET). Light field imaging goes beyond the conventional photography and enables powerful post-capture capabilities, such as change of viewpoint, digital refocusing, and virtual change of aperture. Our research will enable more accurate 3D reconstruction from multi-view, light field and PET images.

Team members

prof. dr. sc. Damir Seršić
project leader
full professor,  Department of Electronic Systems and Information Processing

e-mail: damir.sersic@fer.hr

prof. dr. sc. Davor Petrinović

full professor,  Department of Electronic Systems and Information Processing

e-mail: davor.petrinovic@fer.hr

doc. dr. sc. Ana Sović Kržić

assistant professor,  Department of Electronic Systems and Information Processing

e-mail: ana.sovic@fer.hr

doc. dr. sc. Azra Tafro

assistant professor,  University of Zagreb Faculty of Forestry

e-mail: azra.tafro@fer.hr

dr. sc. Ivan Ralašić

external associate,  Department of Electronic Systems and Information Processing

e-mail: ivan.ralasic@fer.hr

Tin Vlašić, mag. ing. 

external associate,  Department of Electronic Systems and Information Processing

e-mail: tin.vlasic@fer.hr

Anita Gribl, mag. ing.

assistant,  Department of Electronic Systems and Information Processing

e-mail: anita.gribl@fer.hr

Tomislav Matulić, mag. ing.

assistant,  Department of Electronic Systems and Information Processing

e-mail: tomislav.matulic@fer.hr

Publications

Prepublications

T. Vlašić and D. Seršić, "Single-pixel Compressive Imaging in Shift-Invariant Spaces via Exact Wavelet Frames," arXiv: 2106.00404 [eess.IV]
T. Vlašić and D. Seršić, "Sampling and Reconstruction of Sparse Signals in Shift-Invariant Spaces: Generalized Shannon's Theorem Meets Compressive Sensing," arXiv: 2010.15618 [eess.SP]
A. Tafro, D. Seršić, and A. Sović Kržić, "2D PET Image Reconstruction Using Robust L1 Estimation of the Gaussian Mixture Model," arXiv: 1906.06961[eess.SP]

Journal articles

A. Gribl and D. Petrinović, "A Robust Method for Gaussian Profile Estimation in the Case of Overlapping Objects," in IEEE Access, vol. 9, pp. 21071-21084, 2021. doi: 10.1109/ACCESS.2021.3055282

I. Ralašić, D. Seršić and S. Šegvić, "Perceptual Autoencoder for Compressive Sensing Image Reconstruction," Informatica, vol. 31, no. 3, pp. 561-578, 2020. doi: 10.15388/20-INFOR421

I. Ralašić, M. Đonlić and D. Seršić, "Dual Imaging–Can Virtual Be Better Than Real?," in IEEE Access, vol. 8, pp. 40246-40260, 2020. doi: 10.1109/access.2020.2976870

N. Dlab, F. Cimermančić, I. Ralašić and D. Seršić, "Overcoming spatio-angular trade-off in light field acquisition using compressive sensing," Automatika, vol. 61, no. 2, pp. 250-259, 2020. doi: 10.1080/00051144.2020.1715582

T. Vlašić, I. Ralašić, A. Tafro and D. Seršić, "Spline-like Chebyshev polynomial model for compressive imaging," Journal of Visual Communication and Image Representation, vol. 66, pp. 102731, 2020. doi: 10.1016/j.jvcir.2019.102731

Conference papers

A. Gribl and D. Petrinović, "The Influence of Noise on 2D Gaussian Profile Parameters Estimation," 2021 44th International Convention on Information, Communication and Electronic Technology (MIPRO), Opatija, Croatia, 2021, pp. 1032-1037, doi: 10.23919/MIPRO52101.2021.9596661
T. Matulić, R. Bagarić and D. Seršić, "Enhanced reconstruction for PET scanner with a narrow field of view using backprojection method," 2021 44th International Convention on Information, Communication and Electronic Technology (MIPRO), Opatija, Croatia, 2021, pp. 317-322, doi: 10.23919/MIPRO52101.2021.9596922
T. Vlašić and D. Seršić, "Multilevel Subsampling of Principal Component Projections for Adaptive Compressive Sensing," 2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA), Zagreb, Croatia, 2021, pp. 29-35, doi: 10.1109/ISPA52656.2021.9552127
A. Gribl Koščević and D. Petrinović, "Extra-low-dose 2D PET imaging," 2021 12th International Symposium on Image and Signal Processing and Analysis (ISPA), Zagreb, Croatia, 2021, pp. 84-90, doi: 10.1109/ISPA52656.2021.9552059

T. Vlašić and D. Seršić, "Sub-Nyquist Sampling in Shift-Invariant Spaces," 2020 28th European Signal Processing Conference (EUSIPCO), Amsterdam, Netherlands, 2021, pp. 2284-2288, doi: 10.23919/Eusipco47968.2020.9287712

I. Ralašić, M. Đonlić and D. Seršić, "High-Resolution View Synthesis In Camera-Projector Systems Using Compressive Dual Imaging," 2020 3rd International Conference on Sensors, Signal and Image Processing (SSIP), Prague, Czech Republic, 2020, pp. 7-12, doi: 10.1145/3441233.3441236

K. Sever, T. Vlašić and D. Seršić, "A Realization of Adaptive Compressive Sensing System," 2020 43rd International Convention on Information, Communication and Electronic Technology (MIPRO), Opatija, Croatia, 2020, pp. 152-157, doi: 10.23919/MIPRO48935.2020.9245389

A. Gribl and D. Petrinović, "Synthetic astronomical image sequence generation," 2020 43rd International Convention on Information, Communication and Electronic Technology (MIPRO), Opatija, Croatia, 2020, pp. 1103-1108, doi: 10.23919/MIPRO48935.2020.9245294

Other

T. Vlašić and D. Seršić, "Statistical Compressive Sensing of Analog Signals in B-Spline Function Spaces," Abstract Book of the 5th International Workshop on Data Science (IWDS), Zagreb, Croatia, pp. 28-31, 2020.

A. Gribl and D. Petrinović, "The influence of the Huber estimator tuning constant on the performance of the iteratively reweighted least squares method," Abstract Book of the 5th International Workshop on Data Science (IWDS), Zagreb, Croatia, pp. 12-14, 2020.


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