Exploration of local surface geometry with minimum number of contact points and surface normal information

2012 ◽  
Vol 10 (2) ◽  
pp. 383-395 ◽  
Author(s):  
Tri Cong Phung ◽  
Min Jeong Kim ◽  
Hyungpil Moon ◽  
Ja Choon Koo ◽  
Hyouk Ryeol Choi
2021 ◽  
Vol 36 (Supplement_1) ◽  
Author(s):  
H K Yelke ◽  
Y. Kumtepe Colakoglu ◽  
B Yuksel ◽  
M Cetinkaya ◽  
S Kahraman

Abstract Study question Does laser use during trophectoderm biopsy affect biopsy results on prehatching embryos with regard to mosaicism ? Summary answer According to our findings laser usage during trophectoderm biopsy increases mosaic results on next generation sequencing (NGS) irrespective of embryo quality. What is known already Chromosomal mosaicism, which is a result of mitotic errors after fertilization, is defined as the presence of karyotypically distinct cell lines within an embryo. The introduction of NGS made it possible to detect chromosomal mosaicism at levels as low as 20%. The incidence of mosaicism is highly variable between clinics which reported the incidences between 4-32%. Apart from the biological reasons, there are also various technical factors that may impact the incidence of mosaicism. One of the most emphasized factors is the trophoectoderm biopsy technique. Laser usage and number of laser pulses may cause excessive heat during the procedure Study design, size, duration The mosaicism ratio in embryos in which trophectoderm biopsy was performed with or without laser, between January 2017 December 2020 in Istanbul Memorial Hospital (IMH) were examined retrospectively. A total of 13002 embryos were analyzed. A subgroup analysis was also performed regarding mosaicism ratios in different embryo qualities. Blastocysts were classified according to Gardner’s classification and classified as follows: top quality-TQ (4AA,5AA,6AA), good quality-GQ (3AA, 4,5,6AB,BA) and moderate quality-MQ (3,4,5 BB). Participants/materials, setting, methods The biopsy samples of the cases who had PGT-A in IMH between 2017-2020 were evaluated by NGS method. This method enables the identification of embryos with 20% to 80% mosaicism. The study assessed whether there was an increase in the embryos with mosaic results due to the use of laser during biopsy. The effects of laser use among the TQ (4AA,5AA,6AA), GQ (3AA, 4,5,6AB,BA) and MQ (3,4,5 BB) groups according to Garder classification were analyzed. Main results and the role of chance Trophectoderm biopsy was applied on 13002 embryos within the specified period. During biopsy in 5088 embryos laser was used and in 7843 embryos laser was not used, and biopsy was performed mechanically (flicking method). After observing the biopsy results, 945/5088 (18.5%) of the laser applied embryos; and 1087/7914 (13.7%) of laser not applied embryos were defined as mosaic(p < 0.0001). When mosaicism rates were examined according to embryo qualities, the rate of mosaicism was 19.3%(469/2430), 18.2%(290/1591) and 13.2%( 380/2875), 13.5 (426/3141) respectively in embryos with and without laser in TQ and GQ groups. A statistically high level of significance (p < 0.0001) was observed between the embryos evaluated as top quality and good quality before biopsy. Regarding the evaluation in the moderate group embryos, although the mosaicism rates tended to increase on the laser applied group side 40/248(16.1%), no statistical difference was observed when compared to non-laser group 103/670(15,4%). (P > 0.05) Limitations, reasons for caution The retrospective nature of the data is the main limitation of the study. On the other hand, the large number of NGS based PGT-A tested TQ and GQ embryos from a single center and resuts from single laboratory. However, further studies are required to corroborate our findings. Wider implications of the findings Laser dependent heat effect may increase mosaicism. To reduce the cell damage, teasing of cells should be avoided and a minimum number of laser pulses should be used in order to avoid excessive heat and contact points should be preferably confined to cell junctions Trial registration number None


2016 ◽  
Vol 24 (05) ◽  
pp. 1750064
Author(s):  
R. KUMAR ◽  
M. BALASUBRAMANIAN

The main purpose of the current research work is to identify and investigate a novel method of holding an intermediate metal and to evaluate its metallurgical and mechanical properties. Copper was used as an interlayer material for the welding of this dissimilar Ti–6Al–4V (Ti alloy) and 304L stainless steel (SS). The study shows that the input parameters and surface geometry played a very significant role in producing a good quality joints with minimum heat affected zone and metal loss. A sound weld was achieved between Ti–6Al–4V and SS304L, on the basis of the earlier experiments conducted by the authors in their laboratory, by using copper rod as intermediate metal. Box–Behnken method was used for performing a minimum number of experiments for the study. In the present study, Ti–6Al–4V alloy and SS304L were joined by a novel method of holding the interlayer and new surface geometry for the interlayer. Initially, the drop test was used for determining the quality of the fabricated joint and, subsequently, non-destructive techniques like radiography and C-scan were used. Further optical micrograph, SEM–EDS, hardness and tensile test were done for understanding the performance of the joint.


1997 ◽  
Vol 10 (1) ◽  
pp. 17-26 ◽  
Author(s):  
Alan M. McIvor ◽  
Robert J. Valkenburg

1996 ◽  
Vol 63 (4) ◽  
pp. 974-984 ◽  
Author(s):  
N. Sankar ◽  
V. Kumar ◽  
Xiaoping Yun

During manipulation and locomotion tasks encountered in robotics, it is often necessary to control the relative motion between two contacting rigid bodies. In this paper we obtain the equations relating the motion of the contact points on the pair of contacting bodies to the rigid-body motions of the two bodies. The equations are developed up to the second order. The velocity and acceleration constraints for contact, for rolling, and for pure rolling are derived. These equations depend on the local surface properties of each contacting body. Several examples are presented to illustrate the nature of the equations.


1992 ◽  
Vol 46 (19) ◽  
pp. 12784-12787 ◽  
Author(s):  
J. N. Andersen ◽  
E. Lundgren ◽  
R. Nyholm ◽  
M. Qvarford

2021 ◽  
Author(s):  
Colin Peter Stark ◽  
Gavin John Stark

Abstract. The rate of erosion of a geomorphic surface depends on its local gradient and on the material fluxes over it. Since both quantities are functions of the shape of the catchment surface, this dependence constitutes a mathematical straitjacket, in the sense that – subject to simplifying assumptions about the erosion process, and absent variations in external forcing and erodibility – the rate of change of surface geometry is solely a function of surface geometry. Here we demonstrate how to use this geometric self-constraint to convert an erosion model into its equivalent Hamiltonian, and explore the implications of having a Hamiltonian description of the erosion process. To achieve this conversion, we recognize that the rate of erosion defines the velocity of surface motion in its orthogonal direction, and we express this rate in its reciprocal form as the surface-normal slowness. By rewriting surface tilt in terms of normal slowness components, and by deploying a substitution developed in geometric mechanics, we extract what is known as the fundamental metric function of the model phase space; its square is the Hamiltonian. Such a Hamiltonian provides several new ways of solving for the evolution of an erosion surface: here we use it to derive Hamilton's ray tracing equations, which describe both the velocity of a surface point and the rate of change of the surface-normal slowness at that point. In this context, erosion involves two distinct directions: (i) the surface-normal direction, which points subvertically downwards, and (ii) the erosion ray direction, which points upstream at a generally small angle to horizontal with a sign controlled by the scaling of erosion with slope. If the model erosion rate scales faster than linearly with gradient, the rays point obliquely upwards; but if erosion scales sublinearly with gradient, the rays point obliquely downwards. Analysis of the Hamiltonian shows that these rays carry boundary-condition information upstream, and that they are geodesics, meaning that erosion takes the path of least erosion time. This constitutes a definition of the variational principle governing landscape evolution. In contrast with previous studies of network self-organization, neither energy nor energy dissipation is invoked in this variational principle, only geometry.


1991 ◽  
Vol 331 (1260) ◽  
pp. 237-252 ◽  

Images of artificial and natural scenes typically contain many ‘specularities’ generated by mirror-like reflection from glossy surfaces. Until fairly recently computational models of visual processes have tended to regard specularities as obscuring underlying scene structure. Mathematical modelling shows that, on the contrary, they are rich in local geometric information. Recent psychophysical findings support the notion that the brain can apply that information. Our results concern the inference of 3D structure from 2D shaded images of glossy surfaces. Stereoscopically viewed highlights or ‘specularities’ are found to serve as cues for 3D local surface-geometry.


Author(s):  
F. Marina Gantoi ◽  
Michael A. Brown ◽  
Ahmed A. Shabana

The main contribution of this paper is to demonstrate the feasibility of using one computational environment for developing accurate geometry as well as performing the analysis of detailed biomechanics models. To this end, the finite element (FE) absolute nodal coordinate formulation (ANCF) and multibody system (MBS) algorithms are used in modeling both the contact geometry and ligaments deformations in biomechanics applications. Two ANCF approaches can be used to model the rigid contact surface geometry. In the first approach, fully parameterized ANCF volume elements are converted to surface geometry using parametric relationship that reduces the number of independent coordinate lines. This parametric relationship can be defined analytically or using a spline function representation. In the second approach, an ANCF surface that defines a gradient deficient thin plate element is used. This second approach does not require the use of parametric relations or spline function representations. These two geometric approaches shed light on the generality of and the flexibility offered by the ANCF geometry as compared to computational geometry (CG) methods such as B-splines and NURBS (Non-Uniform Rational B-Splines). Furthermore, because B-spline and NURBS representations employ a rigid recurrence structure, they are not suited as general analysis tools that capture different types of joint discontinuities. ANCF finite elements, on the other hand, lend themselves easily to geometric description and can additionally be used effectively in the analysis of ligaments, muscles, and soft tissues (LMST), as demonstrated in this paper using the knee joint as an example. In this study, ANCF finite elements are used to define the femur/tibia rigid body contact surface geometry. The same ANCF finite elements are also used to model the MCL and LCL ligament deformations. Two different contact formulations are used in this investigation to predict the femur/tibia contact forces; the elastic contact formulation which allows for penetrations and separations at the contact points, and the constraint contact formulation in which the nonconformal contact conditions are imposed as constraint equations, and as a consequence, no separations or penetrations at the contact points are allowed. For both formulations, the contact surfaces are described in a parametric form using surface parameters that enter into the ANCF finite element geometric description. A set of nonlinear algebraic equations that depend on the surface parameters is developed and used to determine the location of the contact points. These two contact formulations are implemented in a general MBS algorithm that allows for modeling rigid and flexible body dynamics.


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