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The transformation graph Gxyz when xyz=-++

Baoyindureng Wu, Li Zhang, Zhao Zhang
2005 Discrete Mathematics  
The transformation graph G −++ of G is the graph with vertex set  ...  Acknowledgments The authors would like to thank the referees for their valuable suggestions and comments.  ...  The transformation graph G xyz of G is defined on the vertex set V (G) ∪ E(G).  ... 
doi:10.1016/j.disc.2005.04.002 fatcat:eucdcncybfa47gqmaijvkvqymi

Registration between Multiple Laser Scanner Data Sets [chapter]

Fei Deng
2011 Laser Scanning, Theory and Applications  
The pair-wise registrations generate a graph, in which the nodes are the individual scans and the edges are the transformations between the scans.  ...  However, when those conditions cannot be guaranteed, the point-to-plane ICP is prone to fail (Gelfand et al.,2003) .  ...  For generalization the conjugate overlapping regions of the scene in the left and right surface can be represented as (,,) f xyz and (,,) gxyz no matter the representation of the surface is point cloud  ... 
doi:10.5772/15036 fatcat:vi3sox3q5zhzzath4qbpjeioqa

A non-device-specific approach to display characterization based on linear, nonlinear, and hybrid search algorithms

H. Ban, H. Yamamoto
2013 Journal of Vision  
The standard display characterization called "gamma correction" and the following linear color transformation procedure are established for CRT displays and widely used in the current vision science field  ...  However, the standard twostep procedure is based on the internal model of CRT display devices, and there is no guarantee as to whether the method is applicable to the other types of display devices such  ...  , gXYZ, and bXYZ are row vectors of XYZ values of each of the RGB phosphors, and pXYZ is a 3 · 3 matrix.  ... 
doi:10.1167/13.6.20 pmid:23729771 fatcat:jdjq3uqwsvf37ctgvs345uhgxu

Stereo Matching and 3D Reconstruction via an Omnidirectional Stereo Sensor [chapter]

Lei He, Chuanjiang Luo, Feng Zhu, Yingming Hao
2008 Motion Planning  
Zabih, 2004) , although our graph construction process is slightly different when considering the actual model.  ...  The incident ray passing the space point 2 ,(1 , 2 ) 2 xyz c ppp i i xyzc iiii − == = − (3) We can finally figure out coordinate of the space point P by solving the equation (3).  ...  the original is properly cited and derivative works building on this content are distributed under the same license.  ... 
doi:10.5772/6016 fatcat:nxu7q2al6zghpfgvzojfgmkbj4

On 2-form gauge models of topological phases

Clement Delcamp, Apoorv Tiwari
2019 Journal of High Energy Physics  
picture, the 2-form cocycle arises as the amplitude of local unitary transformations performed on fixed point ground states.  ...  Indeed, gauge connections are now locally described by some number of 1-form and 2-form fields that do not transform independently under 0form and 1-form gauge transformations.  ...  (xyz) the group element g xyz = g, (xyz) .  ... 
doi:10.1007/jhep05(2019)064 fatcat:tvhir4vqpvgitnk5aectm2fq7a

On enriching the Levin–Wen model with symmetry

Liang Chang, Meng Cheng, Shawn X Cui, Yuting Hu, Wei Jin, Ramis Movassagh, Pieter Naaijkens, Zhenghan Wang, Amanda Young
2015 Journal of Physics A: Mathematical and Theoretical  
The input data for the Levin-Wen model is a unitary fusion category, but the same model also works for unitary multi-fusion categories.  ...  In this paper, we provide the details for this extension of the Levin-Wen model, and show that the extended Levin-Wen model is a natural playground for the theoretical study of symmetry protected and symmetry  ...  The 3-cocycle ϕ 3 has a group action (4.8) g · ϕ 3 (x, y, z) = φ 4 (g, gx, gxy, gxyz).  ... 
doi:10.1088/1751-8113/48/12/12ft01 fatcat:c4ydccbagbakpjwt4owruwmj7q

Effective physical properties of cell–cell interaction explain basic structural units of three-dimensional morphogenesis [article]

Hiroshi Koyama, Hisashi Okumura, Atsushi M Ito, Tetsuhisa Otani, Kazuyuki Nakamura, Kagayaki Kato, Toshihiko Fujimori
2019 bioRxiv   pre-print
Next, the physical features of the potentials were analyzed.  ...  Importantly, energy barriers were predicted to exist at the distant regions of the interactions, and this physical property was essential for formation of cavities, tubes, cups, and two-dimensional sheets  ...  , and what kind of 509 morphological transformation could be achieved.  ... 
doi:10.1101/812198 fatcat:ryzadc3f2bgotnbkjkmdjalyxu

Positive sextics and Schur's inequalities

M.D. Choi, T.Y. Lam, B. Reznick
1991 Journal of Algebra  
ACKNOWLEDGMENTS The authors thank Professor R. M. Robinson for a critical reading of the manuscript, and for making numerous valuable comments on its content.  ...  Hd(x, y, z, = rd(yZ, xz, xy) = (Xyz)d rd(l/-% l/h l/z) (2.3) = Y d-'zd-1(x-y)(x-z)+ . . . . (2.4) We have then SdE P3,2d, HdE P;2d, and, when d is even, Hde P3,2d.  ...  By symmetry, and by the fact that F is a form of even degree, it suffices to treat the case when xd0 and y, z 2 0.  ... 
doi:10.1016/0021-8693(91)90203-k fatcat:vtyzpvyjcrb6bpksljuctg4qwq

Data Structures for Mobile Data

Julien Basch, Leonidas J Guibas, John Hershberger
1999 Journal of Algorithms  
Then the tetrahedron gxyz is inside K(g) which means the centers of the other objects must lie outside gxyz. This implies K(g) is the closest object to g.  ...  Because K is convex, this implies that the triangle xyz is inside the object K.  ...  The KDS then performs an event-driven simulation of the motion of the objects, updating the structure whenever an event happens, that is, when a certificate fails.  ... 
doi:10.1006/jagm.1998.0988 fatcat:6ehd7y35cnfule3hyqbfzvkywq

Dissipation-induced instabilities in finite dimensions

R. Krechetnikov, J. E. Marsden
2007 Reviews of Modern Physics  
The theory grounded on the Thomson-Tait-Chetayev and Merkin theorems and on the geometric understanding introduced in this paper leads to the conclusion that ubiquitous dissipation is one of the paramount  ...  The goal of this work is to introduce a coherent theory of the counterintuitive phenomena of dynamical destabilization under the action of dissipation.  ...  l from the point of support, and J x and J z are moments of inertia of the top in the trihedral xyz coordinate system fixed to the top.  ... 
doi:10.1103/revmodphys.79.519 fatcat:dz6bjnoncbfenha32qvsobrtg4

Friedman-reflexivity: interpreters as consistoids [article]

Albert Visser
2022 arXiv   pre-print
We call the modal logics based on this idea interpreter logics. These logics satisfy the Löb Conditions. We provide conditions for when these logics extend S4, K45, and Löb's Logic.  ...  At the end of the paper, we briefly discuss how successful the coordinate-free approach is.  ...  We write A(G(x)) for the result of replacing each Σ 0 1 -component Sx of the Boolean combination by ∃y, z, u (G 0 xyz ∧ S 0 yu), where Gxyz is a ∆ 0 1 -formula such that ∃z Gxyz represents the graph of  ... 
arXiv:2111.14413v2 fatcat:z7gxgyhmlfalzmu4qegjqbtaja

Admissible reversing and extended symmetries for bijective substitutions [article]

Álvaro Bustos, Daniel Luz, Neil Mañibo
2021 arXiv   pre-print
We provide equivalent conditions for a permutation on the alphabet to generate a reversing/extended symmetry, and algorithms how to check them.  ...  Moreover, we show that, for any finite group G and any subgroup P of the d-dimensional hyperoctahedral group, there is a bijective substitution which generates an aperiodic hull with symmetry group ℤ^d  ...  NM would like to acknowledge the support of the German Research Foundation (DFG) through the CRC 1283.  ... 
arXiv:2101.10988v1 fatcat:qwcat5jeg5df3g3e7ccdshk374