A Weighted Weak Law of Large Numbers for Free Random Variables

We examine various conditions under which a weighted weak law of large numbers holds, in the context of noncommutative probability theory.Weak law of large numbers, Noncommutative probability theory

Analyzing domain shift when using additional data for the MICCAI KiTS23 Challenge

Using additional training data is known to improve the results, especially for medical image 3D segmentation where there is a lack of training material and the model needs to generalize well from few available data. However, the new data could have been acquired using other instruments and preprocessed such its distribution is significantly different from the original training data. Therefore, we study techniques which ameliorate domain shift during training so that the additional data becomes better usable for preprocessing and training together with the original data. Our results show that transforming the additional data using histogram matching has better results than using simple normalization.Comment: This preprint has not undergone peer review or any post-submission improvements or corrections. The Version of Record of this contribution is published in [TODO], and is available online at https://doi.org/[TODO

Three-dimensional in vivo near-infrared photoacoustic tomography of whole small animal head

A three-dimensional in vivo near-infrared photoacoustic tomography imaging system was newly designed and built to visualize the structure of a whole small animal head. For high sensitivity, a single flat 2.25MHz low frequency transducer, whose active element size is 6mm, was employed. To increase the penetration depth of light, a wavelength of 804nm in the NIR range, which matches the oxy- and deoxy-hemoglobin isosbestic point, was chosen. To avoid strong photoacoustic signal generation from the skin surface, we applied dark field illumination. To illuminate efficiently, we split the laser light into two beams, which were delivered to an animal by two mirrors and were finally homogenized by two ground glasses. To complete the dark field illumination, the transducer was located in the middle of two light sources. Two key devices for the in vivo imaging were rotating devices and animal holders. The rotating devices were composed of two parts, located at the top and bottom, which rotated at the same angular speed. The holders were composed of a head holder and a body holder. Both holders fixed the animal firmly to reduce motion artifacts. This system achieved radial resolution of up to 260μm. We accomplished successful in vivo imaging of arterial and venous vessels deeply, as well as superficially, with the animal head of up to 1.7cm diameter. The technique forms a basis for functional imaging, such as measurement of the oxygen consumption ratio in the brain, which is a vital parameter in a brain disease research

In vivo three-dimensional photoacoustic tomography of a whole mouse head

An in vivo photoacoustic imaging system was designed and implemented to image the entire small animal head. A special scanning gantry was designed to enable in vivo imaging in coronal cross sections with high contrast and good spatial resolution for the first time to our knowledge. By use of a 2.25 MHz ultrasonic transducer with a 6 mm diameter active element, an in-plane radial resolution of ∼312  µm was achieved. Deeply seated arterial and venous vessels in the head measuring up to 1.7 cm in diameter were simultaneously imaged in vivo with 804 nm wavelength laser excitation of photoacoustic waves

Determination of local polarization properties of biological samples in the presence of diattenuation by use of Mueller optical coherence tomography

A unique feature of polarization-sensitive Mueller optical coherence tomography is that, by measuring Jones or Mueller matrices, it can reveal the complete polarization properties of biological samples, even in the presence of diattenuation. We map local polarization properties for the first time to our knowledge by using polar decomposition in combination with least-squares fitting to differentiate measured integrated Jones matrices with respect to depth. We also introduce the new concept of dual attenuation coefficients to characterize diattenuation per unit infinitesimal length in tissues. We experimentally verify the algorithm using measurements of a section of porcine tendon and the septum of a rat heart

High-resolution functional photoacoustic tomography

All-optical imaging has high contrast but poor spatial resolution beyond the ballistic and quasiballistic regimes. All-ultrasonic imaging has high spatial resolution but poor contrast for early stage tumors. Photoacoustic tomography combines the high optical contrast and the high ultrasonic resolution. Our work in this emerging area of research will be summarized in this invited talk. In this technology, a diffraction-based inverse-source problem is solved in the image reconstruction, for which our group developed the rigorous reconstruction theory. We developed a prototype and accomplished noninvasive transdermal and transcranial functional imaging of small-animal brains in vivo