Author(s):  
Shu-Yen Wan ◽  
◽  
Lun-Jou Lo ◽  
Che-Yao Chang

Superimposition of cranio-maxillofacial images acquired from cone-beam computed tomography (CBCT) and facial images acquired from three-dimensional photography (3D photography) can assist in diagnosis and surgical planning. Conventional approaches individually identified prominent facial landmarks on both modalities, respectively and assessed their correspondence. Considering, however, variation of facial expressions or drastic feature distortion when the face or head was imaged at different timing, landmark registration can become challenging. This paper proposes a disturbance-region removal (DRR) procedure to improve the efficacy of registration. The disturbance regions (DRs) are defined as those exhibiting strong responses in the concavity intensity maps that are computed from the facial surface mesh. Following this identification process for the DRs, an adapted symmetric region growing algorithm is used to form the connected DRs that are to be removed prior to superimposition of both modalities. The results show a twenty-eight percent better match of overall correspondence of the facial fiducial markers. Instead of being the registration guides in conventional approaches, in this study the fiducial markers are employed as only a means to assess the performance of registration


2003 ◽  
Vol 35 (2) ◽  
pp. 417-448 ◽  
Author(s):  
R. A. Doney ◽  
P. S. Griffin

We consider the asymptotic behaviour of a random walk when it exits from a symmetric region of the form {(x, n) :|x| ≤ rnb} as r → ∞. In order to be sure that this actually occurs, we treat only the case where the power b lies in the interval [0,½), and we further assume a condition that prevents the probability of exiting at either boundary tending to 0. Under these restrictions we establish necessary and sufficient conditions for the pth moment of the overshoot to be O(rq), and for the overshoot to be tight, as r → ∞.


2013 ◽  
Vol 22 (10) ◽  
pp. 1350067 ◽  
Author(s):  
ANNA MOKEEVA ◽  
VLADIMIR POPOV

Chaplygin anisotropic matter governing the cosmological evolution in two identical universes with an intermediate static spherically symmetric region is considered. The static region contains a wormhole allowing one to pass between two horizons. The metric in the nonstatic region represents a kind of an anisotropic Kantowski–Sachs cosmological model starting from a horizon instead of the initial singularity. A classification of the cosmologies with a monotonic late stage is presented. It is shown that only one scenario can involve a de Sitter regime. The scales in the de Sitter phase allows one to describe the earliest accelerated expansion on the classical level.


1988 ◽  
Vol 03 (01) ◽  
pp. 23-31 ◽  
Author(s):  
Yasuko Munehisa

Using Monte Carlo techniques, we study the phase structure of a radially active SU(2)×U(1) lattice gauge-fundamental Higgs theory in its strong U(1) gauge-coupling limit. Our results give first evidence for a critical surface induced by radial fluctuations of the Higgs field, which would extend inside the symmetric region of the full SU(2)×U(1) gauge-Higgs theory. The weak SU (2) gauge-coupling limit of the full theory, the radially active version of the SU(2)global×U(1)local gauge-Higgs theory, is also studied numerically. In this limit, we found no essential effect due to the radial degrees of freedom of the Higgs field.


2014 ◽  
Vol 670-671 ◽  
pp. 687-690
Author(s):  
Xiao Yang Lu ◽  
Feng Cheng Liu ◽  
Da Liang Zhang ◽  
Qiao Sha Wang ◽  
Bo Lu Shao ◽  
...  

Using ANSYS software comes with parametric design language APDL, developed a square pyramid partial double layer of Schwedler spherical reticulated shell parametric design macro program; achieved this kind of spherical shell parametric modeling with the given shell span S, vector high F, the thickness (height) of the pyramid, ring copies of the symmetric region Kn and radial nodes laps Nx. Analyzed the static performance of the spherical reticulated shell under different structural parameters, studied the displacement of the structure and the distribution of the stress change with macroscopic geometric parameter change rule. Analysis results of eight kinds of conditions showed that the square pyramid partial double layer of Schwedler spherical reticulated shell has good mechanical performance. The result of the analysis provides a theoretical basis for the relevant engineering design.


PLoS ONE ◽  
2012 ◽  
Vol 7 (9) ◽  
pp. e45177 ◽  
Author(s):  
Erik Serrao ◽  
Wannes Thys ◽  
Jonas Demeulemeester ◽  
Laith Q. Al-Mawsawi ◽  
Frauke Christ ◽  
...  

2004 ◽  
Vol 36 (4) ◽  
pp. 1148-1174 ◽  
Author(s):  
R. A. Doney ◽  
P. S. Griffin

We continue the study of the asymptotic behaviour of a random walk when it exits from a symmetric region of the form {(x, n): |x| ≤ rnb} as r → ∞ which was begun in Part I of this work. In contrast to that paper, we are interested in the case where the probability of exiting at the upper boundary tends to 1. In this scenario we treat the case where the power b lies in the interval [0, 1), and we establish necessary and sufficient conditions for the overshoot to be relatively stable in probability (except for the case ), and for the pth moment of the overshoot to be O(rq) as r → ∞.


Author(s):  
Shu-Yen Wan ◽  
W.E. Higgins

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