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Differentiable Collision Detection for a Set of Convex Primitives [PDF]
IEEE International Conference on Robotics and Automation, 2022 Collision detection between objects is critical for simulation, control, and learning for robotic systems. How-ever, existing collision detection routines are inherently non-differentiable, limiting their applications in gradient-based opti-mization ...
K. Tracy +2 more
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Convex and Concave Hypersoft Sets with Some Properties [PDF]
Neutrosophic Sets and Systems, 2020 . Convexity plays an imperative role in optimization, pattern classification and recognition, image processing and many other relating topics in different fields of mathematical sciences like operation research, numerical analysis etc.
Atiqe Ur Rahman +2 more
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On weakly 1-convex sets in the plane
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 The present work considers the properties of generally convex sets in the plane known as weakly 1-convex. An open set is called weakly 1-convex if for any boundary point of the set there exists a straight line passing through this point and not ...
Тетяна Осіпчук +1 more
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A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings [PDF]
Big Data and Computing Visions, 2023 Sub-attribute-valued sets are occasionally viewed as more significant in real-life circumstances than a single set of attributes. The current models that deal with ambiguity and uncertainty, or soft sets, are insufficient to address such situations.
Atiqe Ur Rahman
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Non-Linear Inner Structure of Topological Vector Spaces
Mathematics, 2021 Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to ...
Francisco Javier García-Pacheco +3 more
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Some Properties of Certain Subclass of Meromorphic Functions Associated with $(p , q)$-derivative [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class.
Mohammad Hassan Golmohammadi +2 more
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Typical Convex Sets of Convex Sets [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1987 There exists a natural notion of convexity in the space of all compact convex sets in D. Thus, we may consider the space of all bounded closed convex families of compact convex sets. We present here a strange generic extremal behaviour of the elements of this space.
Schwarz, T., Zamfirescu, T.
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Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator
Mathematics, 2022 In this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of ...
Matthew Olanrewaju Oluwayemi +2 more
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Outer-weakly convex domination number of graphs [PDF]
Communications in Combinatorics and Optimization, 2020 For a given simple graph $G=(V,E)$, a set $S\subseteq V$ is an outer-weakly convex dominating set if every vertex in $V\setminus S$ is adjacent to some vertex in $S$ and $V\setminus S$ is a weakly convex set.
Jonecis A. Dayap +2 more
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The Convex Feasible Set Algorithm for Real Time Optimization in Motion Planning [PDF]
SIAM Journal of Control and Optimization, 2017 With the development of robotics, there are growing needs for real time motion planning. However, due to obstacles in the environment, the planning problem is highly non-convex, which makes it difficult to achieve real time computation using existing non-
Changliu Liu, Chung-Yen Lin, M. Tomizuka
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