Results 61 to 70 of about 352 (177)
Kinematics Analysis of Industrial Robot Based on Conformal Geometry Algebra
Jixie chuandong, 2023 In order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, Conformal geometric algebra （CGA） was introduced to the construction of kinematics model of industrial robots. In the forward kinematics
Yu Yang +4 more
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Paracatadioptric Geometry using Conformal Geometric Algebra
, 2008 توفر رؤية الكمبيوتر قياسات غير تلامسية للعالم، مما يوسع قدرة الروبوت على العمل في ظروف وبيئات لا يمكن التحكم فيها بدقة. تمت دراسة استخدام الملاحظات المرئية للتحكم في حركات الروبوتات على نطاق واسع، ويشار إلى هذا النهج في الأدبيات باسم المؤازرة المرئية. تعاني الكاميرات التقليدية من مجال رؤية محدود.
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Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)
, 2018 This article is a contribution to an ongoing discussion in the geometric algebra community on how to represent quadrics in three space within a conformal geometric algebra framework. The authors use the conformal geometry of \(\mathbb{R}^{9,6}\) for this purpose and demonstrate how to construct lines, planes, spheres, and quadrics as wedge products of ...
Breuils, Stéphane +3 more
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Modular intersections, time interval algebras and emergent AdS2
Journal of High Energy PhysicsWe compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari +3 more
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Geometric realization of algebraic conformal field theories
Advances in Mathematics, 2019 We explore new connections between the fields and local observables in two dimensional chiral conformal field theory. We show that in a broad class of examples, the von Neumann algebras of local observables (a conformal net) can be obtained from the fields (a unitary vertex operator algebra) via a continuous geometric interpolation procedure involving ...
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Geometry from integrability: multi-leg fishnet integrals in two dimensions
Journal of High Energy PhysicsWe generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their ...
Claude Duhr +4 more
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Zhejiang Daxue xuebao. Lixue ban, 2017 根据几何代数在地理空间对象建模和多维数据分析应用的特点，研究了共形几何代数交/并(meet/join)算子的含义、构建和应用.利用几何代数多维统一、高维计算适应的优势，设计了基于几何代数meet算子和有向半空间划分理论的时空宗地meet算法.从三维地籍和时空数据建模出发，在共形几何代数和时空代数范畴中，给出了三维、四维时空宗地的定义和表达.同时，以宗地数据的拓扑计算为例，将该算法运用于三维时空宗地拓扑计算场景——历史回溯中，取得了良好的效果.该算法的理念同样适用于四维时空宗地的历史回溯meet求解.
WANGQiaoyan(王巧燕) +4 more
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Kinematic Analysis of Industrial Robots Based on Conformal Geometric Algebra
Jixie chuandongIn order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, conformal geometric algebra (CGA) is introduced to the construction of kinematics model of industrial robots.
Yu Yang +4 more
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Geometric operations implemented by conformal geometric algebra neural nodes
, 2013 Geometric algebra is an optimal frame work for calculating with vectors. The geometric algebra of a space includes elements that represent all the its subspaces (lines, planes, volumes, ...). Conformal geometric algebra expands this approach to elementary representations of arbitrary points, point pairs, lines, circles, planes and spheres.
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Lie Symmetries of the Wave Equation on the Sphere Using Geometry
DynamicsA semilinear quadratic equation of the form Aij(x)uij=Bi(x,u)ui+F(x,u) defines a metric Aij; therefore, it is possible to relate the Lie point symmetries of the equation with the symmetries of this metric. The Lie symmetry conditions break into two sets:
Michael Tsamparlis +1 more
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