Fitting a Sphere via Gröbner Basis

Lewis, R.; Paláncz, B.; Awange, Joseph

doi:10.1007/978-3-319-96418-8_38

Access Status

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Authors

Lewis, R.

Paláncz, B.

Awange, Joseph

Date

2018

Type

Conference Paper

Metadata

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Citation

Lewis, R. and Paláncz, B. and Awange, J. 2018. Fitting a Sphere via Gröbner Basis, pp. 319-327.

Source Title

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

10.1007/978-3-319-96418-8_38

ISBN

9783319964171

School

School of Earth and Planetary Sciences (EPS)

URI

http://hdl.handle.net/20.500.11937/70245

Collection

Curtin Research Publications

Abstract

© 2018, Springer International Publishing AG, part of Springer Nature. In indoor and outdoor navigation, finding the local position of a sphere in mapping space employing a laser scanning technique with low-cost sensors is a very challenging and daunting task. In this contribution, we illustrate how Gröbner basis techniques can be used to solve polynomial equations arising when algebraic and geometric measures for the error are used. The effectiveness of the suggested method is demonstrated, thanks to standard CAS software like Mathematica, using numerical examples of the real world.