On the use of a hierarchical multi-level building block basis function scheme in periodic plasmonic structures

2013 ◽  
Vol 115 (2) ◽  
pp. 415-419 ◽  
Author(s):  
X. Zheng ◽  
V. K. Valev ◽  
V. Volskiy ◽  
Guy A. E. Vandenbosch ◽  
V. V. Moshchalkov
Sensors ◽  
2021 ◽  
Vol 21 (10) ◽  
pp. 3493
Author(s):  
Gahyeon Lim ◽  
Nakju Doh

Remarkable progress in the development of modeling methods for indoor spaces has been made in recent years with a focus on the reconstruction of complex environments, such as multi-room and multi-level buildings. Existing methods represent indoor structure models as a combination of several sub-spaces, which are constructed by room segmentation or horizontal slicing approach that divide the multi-room or multi-level building environments into several segments. In this study, we propose an automatic reconstruction method of multi-level indoor spaces with unique models, including inter-room and inter-floor connections from point cloud and trajectory. We construct structural points from registered point cloud and extract piece-wise planar segments from the structural points. Then, a three-dimensional space decomposition is conducted and water-tight meshes are generated with energy minimization using graph cut algorithm. The data term of the energy function is expressed as a difference in visibility between each decomposed space and trajectory. The proposed method allows modeling of indoor spaces in complex environments, such as multi-room, room-less, and multi-level buildings. The performance of the proposed approach is evaluated for seven indoor space datasets.


2007 ◽  
Vol 15 (3) ◽  
pp. 291-320 ◽  
Author(s):  
Chryssomalis Chryssomalakos ◽  
Christopher R. Stephens

We present a covariant form for the dynamics of a canonical GA of arbitrary cardinality, showing how each genetic operator can be uniquely represented by a mathematical object — a tensor — that transforms simply under a general linear coordinate transformation. For mutation and recombination these tensors can be written as tensor products of the analogous tensors for one-bit strings thus giving a greatly simplified formulation of the dynamics. We analyze the three most well known coordinate systems — string, Walsh and Building Block — discussing their relative advantages and disadvantages with respect to the different operators, showing how one may transform from one to the other, and that the associated coordinate transformation matrices can be written as a tensor product of the corresponding one-bit matrices. We also show that in the Building Block basis the dynamical equations for all Building Blocks can be generated from the equation for the most fine-grained block (string) by a certain projection (“zapping”).


2009 ◽  
Vol 13 (1) ◽  
pp. 73-86
Author(s):  
Robert Good

This paper presents changes in the vertical circulation and organisation of merchant palaces, and their influence on multi-family architecture in Venice from 1450 to 1600. Just prior to this period buildings underwent a substantial change in the vertical distribution of floors; this marked the transfer of the commercial-residence casa fondaco prototype into a more complex multi-level building with two semi-autonomous piani nobili palatial apartments. The resulting vertical expansion led to a departure away from the external courtyard staircase as the primary means of vertical circulation. Many Late Gothic palatial buildings incorporated double courtyard staircases that provided individual access to each palatial apartment. However, this scheme consumed a great deal of developable land resulting in the widespread utilisation of interior monumental dog-leg staircases by the Early Renaissance. This simplified internal staircase fitted cleanly into the existing structural logic of both new and remodelled palace buildings.


2017 ◽  
Vol 17 (5) ◽  
pp. 60
Author(s):  
Sue Lukersmith ◽  
Dianne Croker ◽  
Liza Maclean ◽  
Robyn Gleeson

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