Results 41 to 50 of about 352 (177)
Calculation for Multidimensional Topological Relations in 3D Cadastre Based on Geometric Algebra
ISPRS International Journal of Geo-Information, 2019 Maintaining topological consistency is a crucial issue for 3D cadastral modeling as this helps to represent the cadastral boundary clearly and accurately.
Zhifeng Shi +5 more
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Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra [PDF]
Mathematical Problems in Engineering, 2016 Conformal Geometric Algebra has been introduced into geographic information science as a mathematical theory because of its advantages in terms of uniform multidimensional representation and computation. The traditional intersection computation between two geometric objects of different types is not unified.
Feng Zhang +5 more
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Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
MachinesThis paper presents a geometric approach to solve the inverse kinematics for an anthropomorphic robotic arm with seven degrees of freedom (DoF). The proposal is based on conformal geometric algebra (CGA), by which many geometric primitives can be ...
Oscar Carbajal-Espinosa +2 more
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Conformal boundary conditions, loop gravity and the continuum
Journal of High Energy Physics, 2018 In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum.
Wolfgang Wieland
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Recent Applications of Conformal Geometric Algebra [PDF]
, 2005 We discuss a new covariant approach to geometry, called conformal geometric algebra, concentrating particularly on applications to projective geometry and new hybrid geometries. In addition, a new method of working, which can achieve similar results, but using only one extra dimension instead of two, is also discussed.
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The Role of Dice in the Emergence of the Probability Calculus
International Statistical Review, EarlyView.Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley +1 more source
Surface Approximation using Growing Self-Organizing Nets and Gradient Information
Applied Bionics and Biomechanics, 2007 In this paper we show how to improve the performance of two self-organizing neural networks used to approximate the shape of a 2D or 3D object by incorporating gradient information in the adaptation stage. The methods are based on the growing versions of
Jorge Rivera-Rovelo +1 more
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NMR Protein Structure Calculation and Sphere Intersections
Computational and Mathematical Biophysics, 2020 Nuclear Magnetic Resonance (NMR) experiments can be used to calculate 3D protein structures and geometric properties of protein molecules allow us to solve the problem iteratively using a combinatorial method, called Branch-and-Prune (BP).
Lavor Carlile +3 more
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Conformal Geometry, Euclidean Space and Geometric Algebra [PDF]
, 2002 Proceedings, "Uncertainty in Geometric Computations", Sheffield ...
Doran, Chris +2 more
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