In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.

We characterized odor-evoked network activity in an insect brain at three consecutive neural compartments. Using Ca imaging, we recorded activity in the dendrites of the projection neurons that connect the antennal lobe with the mushroom body, a higherorder integration center. Next, we recorded the presynaptic terminals of these projection neurons. Finally, we characterized their postsynaptic p...

Many problems in fluid dynamics have domains with complicated int.ernal or external boundaries of the flow. Here we present a method for calculating time-dependent incompressible inviscid flow using a "Cartesian grid" approach for representing geometry. In this approach, the body is represented as an interface embedded in a regular Cartesian mesh. The basic algorithm is a fractional-step projec...

suppose $pi:mathcal{a}rightarrow mathcal{b}$ is a surjective unital $ast$-homomorphism between c*-algebras $mathcal{a}$ and $mathcal{b}$, and $0leq aleq1$ with $ain  mathcal{a}$. we give a sufficient condition that ensures there is a proection $pin mathcal{a}$ such that $pi left( pright) =pi left( aright) $. an easy consequence is a result of [l. g. brown and g. k. pedersen, c*-algebras of real...

Projector-camera (pro-cam) systems afford a wide range of interactive possibilities, combining both natural and mixed-reality 3D interaction. However, the latency inherent within these systems can cause the projection to ‘slip’ from its intended target, detracting from the overall experience. Because of this, pro-cam systems have typically shied away from truly dynamic scenarios. In turn, resea...

Salamanders of the genus Hydromantes project their tongues the greatest distance of any amphibian to capture prey, up to 80% of body length or approximately 6 cm in an adult individual. During tongue projection on distant prey, the tongue is shot ballistically and the tongue skeleton leaves the body of the salamander entirely. We investigated an aspect of the motor control of this remarkable be...

For a convex body K ⊂ Rn and i ∈ {1, . . . , n− 1}, the function assigning to any i-dimensional subspace L of Rn, the i-dimensional volume of the orthogonal projection of K to L, is called the i-th projection function of K. Let K, K0 ⊂ Rn be smooth convex bodies of class C2 +, and let K0 be centrally symmetric. Excluding two exceptional cases, we prove that K and K0 are homothetic if they have ...

Human body scanning is an important means to build a digital 3D model of the human body, which basis for intelligent clothing production, obesity analysis, and medical plastic surgery applications, etc. Comparing commonly used optical technologies such as laser fringe structured light, infrared speckle projection-based technology has advantages single-shot, simple control, avoiding light stimul...

In x-ray tomography, the structure of a three-dimensional body is reconstructed from a collection of projection images of the body. Medical CT imaging does this using an extensive set of projections from all around the body. However, in many practical imaging situations only a small number of truncated projections are available from a limited angle of view. Three-dimensional imaging using such ...

RATIONALE AND OBJECTIVES The identification of body fluids in computed tomography poses a major diagnostic challenge. The chemical composition of body fluids deviates only slightly from water with very similar computed tomographic (CT) values, which typically range from 0 to 100 HU. The aim of this study was to assess physical and chemical properties of different body fluids in an ex vivo setti...