physical approximation
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2021 ◽  
Vol 25 (4) ◽  
pp. 77-82
Author(s):  
Andrzej Ligienza ◽  
Grzegorz Bieszczad ◽  
Tomasz Sosnowski ◽  
Bartosz Bartosewicz ◽  
Krzysztof Firmanty

Black body radiation sources are commonly used devices in areas related to thermal imaging and radiometry. They are the closest physical approximation of theoretical black body emitter derived from the Planck’s law. Majority of such devices are costly with restricted information about their production technology, including their emitter surface. A few relatively easily accessible coatings with potential application in such devices have been chosen and their emissivity measured. The paper presents measurements that provides information necessary to determine whether there are coatings viable for black body emitter or reference surface.


2021 ◽  
pp. 147715352110304
Author(s):  
L Xia ◽  
R Xu ◽  
T Zhang ◽  
X Liu

The development of the lighting profession toward the third stage requires our attention shifting from the light on certain planes to the light distributions in 3D spaces. In this article, we propose a practical strategy to measure the local density of illumination in 3D scenes based on the zeroth-order of spherical harmonics decompositions of a high dynamic range (HDR) panoramic map. The basic functional principle of deriving illuminance density from HDR panoramic maps was presented, and hereinafter named as illuminance panoramic. Illuminance panoramic was compared with Cuttle’s approximated illuminance scalar, which is essentially a physical approximation of the average illumination over a sphere. To verify the measurements, the average illuminance over a sphere, approximated illuminance scalar, illuminance panoramic, cylindrical illuminance, semi-cylindrical illuminance, and horizontal illuminance were simulated via a model (probe in a sphere). The results indicate that the measurement of density of illumination using HDR panoramic maps has well coincided with its definition (i.e., the average illuminance over a sphere) while other illumination values vary with how the probes are located. The measurement theories were later verified using six HDR panoramic maps of real scenes. This research provides confidence in developing applications in mobile phones by capturing HDR panoramic maps to measure the density of illumination in 3D spaces.


2020 ◽  
Vol 27 (03) ◽  
pp. 2050016
Author(s):  
Dariusz Chruściński ◽  
Farrukh Mukhamedov ◽  
Mohamed Ali Hajji

We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).


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