scholarly journals On the optimal complex extrapolation of the complex Cayley transform

2009 ◽  
Vol 430 (2-3) ◽  
pp. 619-632 ◽  
Author(s):  
A. Hadjidimos ◽  
M. Tzoumas
Keyword(s):  
Cayley Transform

scholarly journals An inexact Cayley transform method for inverse eigenvalue problems

2004 ◽  
Vol 20 (5) ◽  
pp. 1675-1689 ◽  
Author(s):  
Zheng-Jian Bai ◽  
Raymond H Chan ◽  
Benedetta Morini
Keyword(s):  
Eigenvalue Problems ◽  
Cayley Transform ◽  
Transform Method ◽  
Inverse Eigenvalue Problems ◽  
Inverse Eigenvalue

The Cayley Transform of the Generator of a Bounded C0-Semigroup

2006 ◽  
Vol 74 (1) ◽  
pp. 140-148 ◽  
Author(s):  
Alexander Gomilko ◽  
Hans Zwart
Keyword(s):  
Cayley Transform ◽  
C0 Semigroup

Cayley kinematics and the Cayley form of dynamic equations

2005 ◽  
Vol 461 (2055) ◽  
pp. 761-781 ◽  
Author(s):  
Andrew J. Sinclair ◽  
John E. Hurtado
Keyword(s):  
Euler Equations ◽  
Equations Of Motion ◽  
Mechanical Systems ◽  
Rigid Bodies ◽  
Matrix Form ◽  
Dynamic Equations ◽  
Cayley Transform ◽  
Higher Dimensional ◽  
The Matrix ◽  
General Motion

The Cayley transform and the Cayley–transform kinematic relationships are an important and fascinating set of results that have relevance in N –dimensional orientations and rotations. In this paper these results are used in two significant ways. First, they are used in a new derivation of the matrix form of the generalized Euler equations of motion for N –dimensional rigid bodies. Second, they are used to intimately relate the motion of general mechanical systems to the motion of higher–dimensional rigid bodies. This approach can be used to describe an enormous variety of systems, one example being the representation of general motion of an N –dimensional body as pure rotations of an ( N + 1)–dimensional body.

Efficient Multi-Scale Registration of 3D Reconstructions Based on Camera Center Constraint

2014 ◽  
Vol 998-999 ◽  
pp. 1018-1023
Author(s):  
Rui Bin Guo ◽  
Tao Guan ◽  
Dong Xiang Zhou ◽  
Ke Ju Peng ◽  
Wei Hong Fan
Keyword(s):  
Experimental Results ◽  
Cayley Transform ◽  
3D Reconstructions ◽  
Multi Scale ◽  
The Matrix ◽  
Novel Method ◽  
3D Scene ◽  
Coordinates Transformation

Recent approaches for reconstructing 3D scenes from image collections only produce single scene models. To build a unified scene model that contains multiple subsets, we present a novel method for registration of 3D scene reconstructions in different scales. It first normalizes the scales of the models building on similarity reconstruction by the constraint of the 3D position of shared cameras. Then we use Cayley transform to fit the matrix of coordinates transformation for the models in normalization scales. The experimental results show the effectiveness and scalability of the proposed approach.

scholarly journals Superconnection character forms and the Cayley transform

Topology ◽  
1988 ◽  
Vol 27 (2) ◽  
pp. 211-238 ◽  
Author(s):  
Daniel Quillen
Keyword(s):  
Cayley Transform
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