Topic
Point (geometry)
About: Point (geometry) is a research topic. Over the lifetime, 16807 publications have been published within this topic receiving 186822 citations. The topic is also known as: fixed point (survey).
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09 Feb 2022
TL;DR: Temporal logic guided optimization of motion primitives, namely $\mathbf{PI}^{BB}-\ mathbf{TL}}$ algorithm, for complex manipulation tasks with user preferences is presented, which not only enables the encoding of complex tasks that involve a sequence of logically organized action plans withuser preferences, but also provides a convenient and efficient means to design the cost function.
Abstract: Dynamic movement primitives (DMPs) are a flexible trajectory learning scheme widely used in motion generation of robotic systems. However, existing DMP-based methods mainly focus on simple go-to-goal tasks. Motivated to handle tasks beyond point-to-point motion planning, this work presents temporal logic guided optimization of motion primitives, namely $\mathbf{PI}^{\mathbf{BB}-\mathbf{TL}}$ algorithm, for complex manipulation tasks with user preferences. In particular, weighted truncated linear temporal logic (wTLTL) is incorporated in the $\mathbf{PI}^{\mathbf{BB}-\mathbf{TL}}$ algorithm, which not only enables the encoding of complex tasks that involve a sequence of logically organized action plans with user preferences, but also provides a convenient and efficient means to design the cost function. The black-box optimization is then adapted to identify optimal shape parameters of DMPs to enable motion planning of robotic systems. The effectiveness of the $\mathbf{PI}^{\mathbf{BB}-\mathbf{TL}}$ algorithm is demonstrated via simulation and experiment.
2 citations
TL;DR: In this paper, a characterization of stable electrostatic configurations of point charges with Coulomb interaction on a circle, line segment, and a system of three concentric circles is presented.
Abstract: Equilibrium configurations of point charges with Coulomb interaction on a circle, line segment, and a system of three concentric circles is discussed. A characterization of stable electrostatic configurations with a few points is obtained.
2 citations
TL;DR: The essential importance of the best proximity point theory is that it appears in the coincidence of "metric fixed point theory" and "optimization theory" as mentioned in this paper, and it is the case that best proximity points appear in the intersection of the two theories.
Abstract: The essential importance of the best proximity point theory is that “best proximity point theory” appears in the coincidence of “metric fixed point theory” and “optimization theory.” So finding bes...
2 citations
2 citations
TL;DR: In this article , a rolling element with a fully crowned profile and a logarithmic profile was calculated using the contact stress at the point of contact obtained analytically on the basis of Hertz's theory and numerically using the finite element analysis.
2 citations