Algebra over a field

On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds

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Some algebraic and geometric computations in PSPACE

John Canny

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LEDA: A platform for combinatorial and geometric computing

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APPLICATION OF THEOREM PROVING TO PROBLEM SOLVING**This research is a part of Project Defender and was supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by Rome Air Development Center under Contracts AF 30(602)-4147 and F30602-69-C-0056.††This preprint is a preliminary version and is subject to modification prior to publication.

Cordell Green

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The Lie group of rigid body displacements, a fundamental tool for mechanism design

JM Hervé

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Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses

Arthur Albert

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Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry

Leo Dorst, Daniel Fontijne, Stephen Mann

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Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Rida T. Farouki

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Numerically Solving Polynomial Systems with Bertini

Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler

Citations: 356 • 2013

The Koopman Operator in Systems and Control

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Robotic manipulators and the product of exponentials formula

R. Brockett

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A Theory of Generalized Inverses Applied to Robotics

Keith L. Doty, Claudio Melchiorri, Claudio Bonivento

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Simultaneous robot-world and hand-eye calibration

Fadi Dornaika, Radu Horaud

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A comprehensive introduction to sub-Riemannian geometry from the Hamiltonian viewpoint

Davide Barilari, Ugo Boscain

Citations: 290 • 2020

On Advances in Robot Kinematics

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Structural synthesis of 'parallel' robots generating spatial translation

J. M. Hervé, Flavia Sparacino

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On the Continuity of the Generalized Inverse

G. W. Stewart

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Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review

Kerry W. Spring

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On homogeneous transforms, quaternions, and computational efficiency

J. Funda, Russell H. Taylor, Richard P. Paul

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Applications of Clifford’s Geometric Algebra

Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe

Citations: 169 • 2013