TY - GEN
T1 - A Mathematica Package for Plotting Implicitly Defined Hypersurfaces in
AU - Anto, Luis A.
AU - Fiestas, Amelia M.
AU - Ojeda, Edgar J.
AU - Velezmoro, Ricardo
AU - Ipanaqué, Robert
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - Plotting implicitly defined geometric objects is a very important topic on computer graphics, computer aided design and geometry processing. In fact, the most important computer algebra systems include sophisticated tools for plotting implicitly defined curves and surfaces. This paper describes a new Mathematica package, 4DPlots, for plotting implicitly defined hypersurfaces (solids) in using a generalization of the bisection method that is applied to continuous functions of four variables by recursive bisection of segments contained in their domain. The output obtained is consistent with Mathematica’s notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.
AB - Plotting implicitly defined geometric objects is a very important topic on computer graphics, computer aided design and geometry processing. In fact, the most important computer algebra systems include sophisticated tools for plotting implicitly defined curves and surfaces. This paper describes a new Mathematica package, 4DPlots, for plotting implicitly defined hypersurfaces (solids) in using a generalization of the bisection method that is applied to continuous functions of four variables by recursive bisection of segments contained in their domain. The output obtained is consistent with Mathematica’s notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.
KW - Approximation of zeros of functions of four variables
KW - Implicitly defined hypersurfaces in R
KW - Plotting implicitly defined hypersurfaces in R
KW - The bisection method over segments in R
UR - http://www.scopus.com/inward/record.url?scp=85093067947&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-58802-1_9
DO - 10.1007/978-3-030-58802-1_9
M3 - Conference contribution
AN - SCOPUS:85093067947
SN - 9783030588014
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 117
EP - 129
BT - Computational Science and Its Applications – ICCSA 2020 - 20th International Conference, Proceedings
A2 - Gervasi, Osvaldo
A2 - Murgante, Beniamino
A2 - Misra, Sanjay
A2 - Garau, Chiara
A2 - Blecic, Ivan
A2 - Taniar, David
A2 - Apduhan, Bernady O.
A2 - Rocha, Ana Maria A.C.
A2 - Tarantino, Eufemia
A2 - Torre, Carmelo Maria
A2 - Karaca, Yeliz
PB - Springer Science and Business Media Deutschland GmbH
T2 - 20th International Conference on Computational Science and Its Applications, ICCSA 2020
Y2 - 1 July 2020 through 4 July 2020
ER -