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Dallo spazio intersecato allo spazio di interazioni [From space of intersection to space of interaction]

The space of interaction is neither a place nor a condition for belonging. It finds a correlation with the space of intersection. The relationship with spatiality is a heterogeneous complex of experiences. A subject of study as broad and continuous as space is even its definition. From Plato's intuitive conception in the Timaeus as a comfortable being that occurs only if it contains objects, via Kant's concept of pure intuition, to a logical-mathematical meaning, space refers to formal and d...

Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces

In this paper we consider an abstract Wiener space (X,γ,H) and an open subset O⊆X which satisfies suitable assumptions. For every p∈(1,+∞) we define the Sobolev space W01,p(O,γ) as the closure of Lipschitz continuous functions which have support with positive distance from ∂O with respect to the natural Sobolev norm, and we show that under the assumptions on O the space W01,p(O,γ) can be characterized as the space of functions in W1,p(O,γ) which have null trace at the boundary ∂O, or, equival...

Federated Control of Distributed Multi-Partner Cloud Resources for Adaptive C2 in Disadvantaged Networks

In military mission contexts with limited network connectivity, availability and utilization of information may be improved through adaptive information processing over a federated cloud infrastructure. Orchestration mechanisms to dynamically distribute data and computing tasks over the available partner cloud infrastructures enable improved exploitation of the information processing, storage, and communication means that are ever more available and powerful in battlefield situations.

Simultaneous emission and attenuation reconstruction in passive gamma emission tomography of spent nuclear fuel

In the context of international nuclear safeguards, the International Atomic Energy Agency (IAEA) has recently approved passive gamma emission tomography (PGET) as a method for inspecting spent nuclear fuel assemblies (SFAs). The PGET instrument is essentially a single photon emission computed tomography (SPECT) system that allows the reconstruction of axial cross-sections of the emission map of an SFA. The fuel material heavily self-attenuates its gamma-ray emissions, so that correctly accou...

Sparse dynamic tomography. A shearlet-based approach for iodine perfusion in plant stems

In this paper we propose a motion-aware variational approach to reconstruct moving objects from sparse dynamic data. The motivation of this work stems from x-ray imaging of plants perfused with a liquid contrast agent, aimed at increasing the contrast of the images and studying the phloem transport in plants over time. The key idea of our approach is to deploy 3D shearlets as a space-temporal prior, treating time as the third dimension. The rationale behind this model is that a continuous evo...

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