Pol del Aguila Pla

Michaël Unser, Pol del Aguila Pla, Jonathan Yuelin Dong

Positron emission tomography (PET) scanners use scintillation crystals to stop high-energy photons. The ensuing lower-energy photons are then detected via photomultipliers. We study the performance of a stack of monolithic siliconpixel detectors as an alte ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2025

Sensitivity-Aware Density Estimation in Multiple Dimensions

Michaël Unser, Pol del Aguila Pla

We formulate an optimization problem to estimate probability densities in the context of multidimensional problems that are sampled with uneven probability. It considers detector sensitivity as an heterogeneous density and takes advantage of the computatio ...

IEEE COMPUTER SOC2024

A Statistical Framework to Investigate the Optimality of Signal-Reconstruction Methods

Michaël Unser, Pakshal Narendra Bohra, Pol del Aguila Pla

We present a statistical framework to benchmark the performance of reconstruction algorithms for linear inverse problems, in particular, neural-network-based methods that require large quantities of training data. We generate synthetic signals as realizati ...

2023

Stability of Image-Reconstruction Algorithms

Michaël Unser, Pol del Aguila Pla, Sebastian Jonas Neumayer

Robustness and stability of image-reconstruction algorithms have recently come under scrutiny. Their importance to medical imaging cannot be overstated. We review the known results for the topical variational regularization strategies ( ℓ2 and ℓ1 regulariz ...

2023

Bona Fide Riesz Projections For Density Estimation

Michaël Unser, Pol del Aguila Pla

The projection of sample measurements onto a reconstruction space represented by a basis on a regular grid is a powerful and simple approach to estimate a probability density function. In this paper, we focus on Riesz bases and propose a projection operato ...

IEEE2022

Convex Quantization Preserves Logconcavity

Pol del Aguila Pla

A logconcave likelihood is as important to proper statistical inference as a convex cost function is important to variational optimization. Quantization is often disregarded when writing likelihood models, ignoring the limitations of the physical detectors ...

IEEE Institute of Electrical and Electronics Engineers2022

Optimal-Transport-Based Metric for SMLM

Michaël Unser, Daniel Sage, Thanh-An Michel Pham, Quentin Alain Denoyelle, Pol del Aguila Pla

We propose the use of Flat Metric to assess the performance of reconstruction methods for single-molecule localization microscopy (SMLM) in scenarios where the ground-truth is available. Flat Metric is intimately related to the concept of optimal transport ...

IEEE2021

Clock Synchronization Over Networks: Identifiability of the Sawtooth Model

Pol del Aguila Pla

In this paper, we analyze the two-node joint clock synchronization and ranging problem. We focus on the case of nodes that employ time-to-digital converters to determine the range between them precisely. This specific design choice leads to a sawtooth mode ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Pol del Aguila Pla

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A Silicon-Pixel Paradigm for PET

Sensitivity-Aware Density Estimation in Multiple Dimensions

A Statistical Framework to Investigate the Optimality of Signal-Reconstruction Methods

Stability of Image-Reconstruction Algorithms

Bona Fide Riesz Projections For Density Estimation

Convex Quantization Preserves Logconcavity

Optimal-Transport-Based Metric for SMLM

Clock Synchronization Over Networks: Identifiability of the Sawtooth Model