Higher-Order Logic Formalization of Conformal Geometric Algebra and its Application in Verifying a Robotic Manipulation Algorithm-Reference-Cited by-同舟云学术

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Higher-Order Logic Formalization of Conformal Geometric Algebra and its Application in Verifying a Robotic Manipulation Algorithm

Published:2016-03-22 Issue:4 Volume:26 Page:1305-1330
ISSN:0188-7009
Container-title:Advances in Applied Clifford Algebras
language:en
Short-container-title:Adv. Appl. Clifford Algebras

Author:

Ma Sha,Shi Zhiping,Shao Zhenzhou,Guan Yong,Li Liming,Li Yongdong

Funder

International Cooperation Program on Science and Technology

National Natural Science Foundation of China

Project of Construction of Innovative Teams and Teacher Career Development for Universities and Colleges Under Beijing Municipality

Scientific Research Base Development Program of the Beijing Municipal Commission of Education

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00006-016-0650-5.pdf

Reference38 articles.

1. Aristidou A., Lasenby J.: FABRIK: a fast, iterative solver for the inverse kinematics problem. Graph. Models 73(4), 243–260 (2011)

2. Bayro-Corrochano, E., Bernal-Marin, M.: Generalized hough transform and conformal geometric algebra to detect lines and planes for building 3D maps and robot navigation. In: Intelligent Robots and Systems (IROS), IEEE/RSJ International Conference on, pp. 810–815 (2010)

3. Bayro-Corrochano E., Zamora-Esquivel J.: Differential and inverse kinematics of robot devices using conformal geometric algebra. Robotica 25(1), 43–61 (2007)

4. Blanchette, J.C., Nipkow, T.: Nitpick: A Counterexample Generator for Higher-Order Logic Based on a Relational Model Finder. Lecture Notes in Computer Science, pp. 131–146 (2010)

5. Buchholz S., Sommer G.: Introduction to neural computation in Clifford algebra. In: Sommer, G. (ed.) Geometric Computing with Clifford Algebras, pp. 291–314. Springer-Verlag, Heidelberg (2001)

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