Single-pixel sensing for fluorescence and scattering

Some of the most informative X-ray signals — element-resolved fluorescence, angle-resolved scattering — arrive at detectors that cannot form an image. Structure the illumination instead of the detection, and the image comes back in software.

The problem with the good contrasts

The two richest X-ray contrasts are the two hardest to photograph.

Fluorescence tells you which element sits where, at trace concentration, with a specificity no absorption measurement approaches. But a fluorescence photon leaves the sample in a random direction and carries no information about where it came from. The usual answer is to raster-scan a focused beam: exquisite maps, one pixel at a time, and a full tomogram that takes days of beamtime nobody has.

Small-angle scattering tells you about structure far below the resolution of the detector. Measuring it properly means a point-scanning SAXS instrument, and a full tensor tomogram — the orientation of that sub-pixel structure in three dimensions — is a heroic experiment.

Structure the illumination, not the detection

Single-pixel imaging inverts the problem. Rather than asking the detector to resolve position, we pattern the beam and record a sequence of total intensities on a detector with no spatial resolution whatsoever. Each measurement is one projection of the sample onto one known pattern; the image is recovered by solving the resulting inverse problem. Choose the patterns well — and choose the regulariser well — and far fewer measurements are needed than the number of pixels you recover.

This is the same intellectual move as everything else in the group. In modulation-based imaging a mask encodes the wavefront so a camera can read phase; here a patterned beam encodes position so a bucket detector can read chemistry. In both cases the physics is put in the forward model and the pixels are recovered by inversion.

What we are building

XRF ghost tomography — element-specific three-dimensional maps from structured illumination and a single-element fluorescence detector, replacing the raster scan with a compressive acquisition.

SAXS tensor tomography — full reconstruction of the orientation of sub-pixel structure in a volume, from projections that mix scattering directions together.

Both run under the MIAI FANFARES chair, held jointly with Nicolas Ducros at CREATIS — whose group built much of the single-pixel imaging methodology — and Nicola Viganò at CEA IRIG. Two doctoral contracts run on these questions until 2029.

To add: a figure of the pattern sequence and a reconstructed elemental map, and a sentence on which beamlines this runs at.