On the mathematical foundations of smoothness constraints for the determination of optical flow and for surface reconstruction

1991 ◽  
Vol 13 (11) ◽  
pp. 1105-1114 ◽  
Author(s):  
M.A. Snyder
Keyword(s):  
Optical Flow ◽  
Surface Reconstruction ◽  
Mathematical Foundations

scholarly journals Theory of Nonlocal Point Transformations in General Relativity

2016 ◽  
Vol 2016 ◽  
pp. 1-32 ◽  
Author(s):  
Massimo Tessarotto ◽  
Claudio Cremaschini
Keyword(s):  
General Relativity ◽  
Field Equations ◽  
Traditional Concept ◽  
Curved Space ◽  
Point Transformations ◽  
Functional Setting ◽  
Mathematical Foundations ◽  
The Relationship ◽  
Metric Tensors

A discussion of the functional setting customarily adopted in General Relativity (GR) is proposed. This is based on the introduction of the notion of nonlocal point transformations (NLPTs). While allowing the extension of the traditional concept of GR-reference frame, NLPTs are important because they permit the explicit determination of the map between intrinsically different and generally curved space-times expressed in arbitrary coordinate systems. For this purpose in the paper the mathematical foundations of NLPT-theory are laid down and basic physical implications are considered. In particular, explicit applications of the theory are proposed, which concern(1)a solution to the so-called Einstein teleparallel problem in the framework of NLPT-theory;(2)the determination of the tensor transformation laws holding for the acceleration 4-tensor with respect to the group of NLPTs and the identification of NLPT-acceleration effects, namely, the relationship established via general NLPT between particle 4-acceleration tensors existing in different curved space-times;(3)the construction of the nonlocal transformation law connecting different diagonal metric tensors solution to the Einstein field equations; and(4)the diagonalization of nondiagonal metric tensors.

Determination of wurtzite GaN lattice polarity based on surface reconstruction

1998 ◽  
Vol 72 (17) ◽  
pp. 2114-2116 ◽  
Author(s):  
A. R. Smith ◽  
R. M. Feenstra ◽  
D. W. Greve ◽  
M.-S. Shin ◽  
M. Skowronski ◽  
...  
Keyword(s):  
Surface Reconstruction

Experimental and theoretical electronic structure determination of theβ−SiC(001)c(4×2)surface reconstruction

2004 ◽  
Vol 69 (24) ◽  
Author(s):  
V. Yu. Aristov ◽  
P. Soukiassian ◽  
A. Catellani ◽  
R. Di Felice ◽  
G. Galli
Keyword(s):  
Electronic Structure ◽  
Surface Reconstruction ◽  
Structure Determination

STRUCTURE DETERMINATION OF THE Ge(111)-(3×1)Ag SURFACE RECONSTRUCTION

1999 ◽  
Vol 06 (06) ◽  
pp. 1061-1065 ◽  
Author(s):  
D. GROZEA ◽  
E. BENGU ◽  
C. COLLAZO-DAVILA ◽  
L. D. MARKS
Keyword(s):  
Electron Diffraction ◽  
Surface Reconstruction ◽  
Diffraction Data ◽  
Structure Determination ◽  
Heavy Atom ◽  
Direct Methods ◽  
Electron Diffraction Data ◽  
Transmission Electron ◽  
First Time

For the first time, during the investigation of the Ag submonolayer on the Ge(111) system, large, independent domains of the Ge (111)-(3×1) Ag phase were imaged and investigated. Previous studies have reported it only as small insets between Ge (111)-(4×4) Ag and Ge (111)- c (2×8) domains. The transmission electron diffraction data were analyzed using a Direct Methods approach and "heavy-atom holography," with the result of an atomic model of the structure similar to that of Ge (111)-(3×1) Ag .

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