Disturbance-Region Removal on Landmark-less Registration of Craniofacial Images Acquired by CBCT and 3D Photography

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

Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region

The aim of the present paper is to introduce a new class of analytic functions by using a q-integral operator in the conic region. It is worth mentioning that these regions are symmetric along the real axis. We find the coefficient estimates, the Fekete–Szegö inequality, the sufficiency criteria, the distortion result, and the Hankel determinant problem for functions in this class. Furthermore, we study the inverse coefficient estimates for functions in this class.

Local interactions underlying collective motion in human crowds

It is commonly believed that global patterns of motion in flocks, schools and crowds emerge from local interactions between individuals, through a process of self-organization. The key to explaining such collective behaviour thus lies in deciphering these local interactions. We take an experiment-driven approach to modelling collective motion in human crowds. Previously, we observed that a pedestrian aligns their velocity vector (speed and heading direction) with that of a neighbour. Here we investigate the neighbourhood of interaction in a crowd: which neighbours influence a pedestrian's behaviour, how this depends on neighbour position, and how the influences of multiple neighbours are combined. In three experiments, a participant walked in a virtual crowd whose speed and heading were manipulated. We find that neighbour influence is linearly combined and decreases with distance, but not with lateral position (eccentricity). We model the neighbourhood as (i) a circularly symmetric region with (ii) a weighted average of neighbours, (iii) a uni-directional influence, and (iv) weights that decay exponentially to zero by 5 m. The model reproduces the experimental data and predicts individual trajectories in observational data on a human ‘swarm’. The results yield the first bottom-up model of collective crowd motion.

Ellipsoid Reticulated Shell of Parametric Design and Analysis of Mechanical Characteristics

By using the parametric design language APDL, developed ellipsoidal reticulated shell parametric macros, only enter the long axis S1, short axis S2, high vector F, scale factor t, ring symmetric region shares Kn, radial nodes turns Nx, to generate the desired lattice shell; comparative analysis of 30 kinds of scheme through two types of single-shell ellipsoid reticulated shell with different rise span ratio force, studied its stress characteristics, providing a theoretical reference for designing and engineering ellipsoid reticulated shell application.

Square Pyramid Partial Double Layer of Schwedler Spherical Reticulated Shell Parametric Design and Mechanical Analysis

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.

ISOTROPIZATION IN CHAPLYGIN MATTER UNIVERSES CONNECTED BY A WORMHOLE

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.