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To achieve an accurate measurement of tread size after fixed-length cutting, this paper proposes a point-cloud-based tread size measurement method. Firstly, a mathematical model of corner points and a reprojection error is established, and the optimal solution of the number of corner points is determined by the non-dominated sorting genetic algorithm II (NSGA-II), which reduces the reprojection error of the RGB-D camera. Secondly, to address the problem of the low accuracy of the traditional pixel metric ratio measurement method, the random sampling consensus point cloud segmentation algorithm (RANSAC) and the oriented bounding box (OBB) collision detection algorithm are introduced to complete the accurate detection of the tread size. By comparing the absolute error and relative error data of several groups of experiments, the accuracy of the detection method in this paper reaches 1 mm, and the measurement deviation is between 0.14% and 2.67%, which is in line with the highest accuracy standard of the national standard. In summary, the RGB-D visual inspection method constructed in this paper has the characteristics of low cost and high inspection accuracy, which is a potential solution to enhance the pickup guidance of tread size measurement. [ABSTRACT FROM AUTHOR]

In this work, a mathematical model of the transfer process in a layer under the condition of given experimental data on a part of the layer boundary is presented and investigated. Such research is important for the mathematical description of the objects and systems for which, based on physical considerations, it is impossible to correctly impose boundary or initial conditions, even in a sufficiently general form, but there are experimental data on the desired function or its derivative at the boundary of the body or at the initial time. The values of the desired function at the boundary are known at certain moments in time. The boundary condition is constructed by the experimental data and the initial-boundary value problem, with such a boundary condition, is formulated and solved. The influence of the statistical characteristics of the sample of experimental data on the solution to the initial-boundary value problem is analyzed, and a two-sided statistical estimation of the solution is determined. The confidence intervals for the coefficients of the regression equation and the corresponding confidence intervals for the sought function are established. The influence of the statistical characteristics of the sample on the sought function at the lower boundary of the layer is investigated. Numerical analysis of the solution to the initial-boundary value problem is carried out depending on the statistical characteristics of the sample. Various cases of samples by size and variance are considered. Numerical solutions are studied under the conditions of large and small time intervals of the considered process. [ABSTRACT FROM AUTHOR]

The Interpersonal Exchange Model of Sexual Satisfaction proposes that sexual satisfaction can be explained by the balance of sexual rewards or costs exchange. The Interpersonal Exchange Model of Sexual Satisfaction Questionnaire (IEMSSQ) was developed from this model. The IEMSSQ includes the Reward/Costs Checklist (RCC). The RCC assesses different sexual exchanges that are categorized into sexual rewards and/or costs. Analyses and comparisons of sexual rewards and costs in the Hispanic cisgender population based on gender (man or woman) and sexual orientation (heterosexual and homosexual) with this measure have not been conducted. The main goal was to analyze and rank the sexual rewards, costs, and both, indicated by a sample of 1996 Hispanic partnered participants (heterosexual men, gay men, heterosexual women, and lesbians). The predominant sexual exchanges that were reported involved emotional aspects, both as rewards and costs. When participants indicated that the exchange was both a reward and a cost, they were referring to aspects specifically related to the sexual relationship itself. Heterosexual men and women had greater rewards and higher costs, respectively. Gay men obtained a greater number of items reported as rewards and costs. The results provide further insight into sexual satisfaction related to gender and sexual orientation. [ABSTRACT FROM AUTHOR]