Reconfiguring Massive Particle Swarms with Limited, Global Control

Author(s):  
Aaron Becker ◽  
Erik D. Demaine ◽  
Sándor P. Fekete ◽  
Golnaz Habibi ◽  
James McLurkin
2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Jianying Yuan ◽  
Qiong Wang ◽  
Xiaoliang Jiang ◽  
Bailin Li

The multiview 3D data registration precision will decrease with the increasing number of registrations when measuring a large scale object using structured light scanning. In this paper, we propose a high-precision registration method based on multiple view geometry theory in order to solve this problem. First, a multiview network is constructed during the scanning process. The bundle adjustment method from digital close range photogrammetry is used to optimize the multiview network to obtain high-precision global control points. After that, the 3D data under each local coordinate of each scan are registered with the global control points. The method overcomes the error accumulation in the traditional registration process and reduces the time consumption of the following 3D data global optimization. The multiview 3D scan registration precision and efficiency are increased. Experiments verify the effectiveness of the proposed algorithm.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jacob Sonnenschein ◽  
Dorin Weissman

Abstract Classical rotating closed string are folded strings. At the folding points the scalar curvature associated with the induced metric diverges. As a consequence one cannot properly quantize the fluctuations around the classical solution since there is no complete set of normalizable eigenmodes. Furthermore in the non-critical effective string action of Polchinski and Strominger, there is a divergence associated with the folds. We overcome this obstacle by putting a massive particle at each folding point which can be used as a regulator. Using this method we compute the spectrum of quantum fluctuations around the rotating string and the intercept of the leading Regge trajectory. The results we find are that the intercepts are a = 1 and a = 2 for the open and closed string respectively, independent of the target space dimension. We argue that in generic theories with an effective string description, one can expect corrections from finite masses associated with either the endpoints of an open string or the folding points on a closed string. We compute explicitly the corrections in the presence of these masses.


1986 ◽  
Vol 85 (8) ◽  
pp. 4486-4501 ◽  
Author(s):  
R. E. Robson
Keyword(s):  

2010 ◽  
Vol 25 (38) ◽  
pp. 3229-3240 ◽  
Author(s):  
CHENG-ZHOU LIU

In the tunneling framework of Hawking radiation, the quantum tunneling of massive particles in the modified Schwarzschild black holes from gravity's rainbow is investigated. While the massive particle tunneling from the event horizon, the metric fluctuation is taken into account, not only due to energy conservation but also to the Planck scale effect of spacetime. The obtained results show that, the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. This implies that, considering the quantum effect of spacetime, information conservation of black holes is probable. Meanwhile, the quantum corrected entropy of the modified black hole is obtained and the leading correction behave as log-area type. And that, the emission spectrum with Planck scale correction is obtained and it deviates from the thermal spectrum.


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