A kinematic analysis of the gmf a-510 robot: An introduction and application of groebner basis theory

Autor:	Kimberly D. Kendricks
Rok vydání:	2013
Předmět:	business.industry Applied Mathematics Order (ring theory) Robotics Kinematics Inverse problem Algebra Gröbner basis Singularity Matrix algebra ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Robot Computer Science::Symbolic Computation Artificial intelligence business Analysis Mathematics
Zdroj:	Journal of Interdisciplinary Mathematics. 16:147-169
ISSN:	2169-012X 0972-0502
DOI:	10.1080/09720502.2013.800304
Popis:	In this paper, we examine the application of a Groebner Basis to solve an inverse problem in mobility and control. Traditionally, such inverse problems are solved using matrix algebra techniques. This paper will introduce and solve an inverse problem using both matrix algebra and a Groebner Basis, in order to demonstrate the advantages of using a Groebner basis to: 1) classify the solutions of mobility, 2) find all solutions more efficiently, 3) and find all solutions with a fewer number of operations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8be5903a0b989db9c79fa32f196d9e7e https://doi.org/10.1080/09720502.2013.800304 Zobrazit plný text záznamu