Computing Volumes Surrounded by a Quadric Surface and a Plane with MATLAB

Qing Li Yin

doi:10.4028/www.scientific.net/AMR.989-994.2480

Paper Titles

A New Analysis of the Iterative Threshold Algorithm for RPCA by Primal-Dual Method
p.2462

Robot Path Planning Based on Artificial Fish Swarm Algorithm under a Known Environment
p.2467

A Study of the Keep-Right-Except-to-Pass Traffic Rule on Cellular Automata
p.2470

Probabilistic Model Checking by Model Equivalent Reduction and Abstraction
p.2474

Computing Volumes Surrounded by a Quadric Surface and a Plane with MATLAB
p.2480

A New Defogging Algorithm Based on Atmospheric Degradation Physical Model
p.2484

The Evaluation of Teaching Quality Based on Fuzzy Method
p.2488

Identical Distributed Pairwise NQD Random Variables Sequences with a Novel Mutation Operator
p.2491

Improving Performance of Wireless-Optical Broadband Access Network by Interpolation Algorithm of Zadoff-Chu Sequence
p.2495

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 989-994Computing Volumes Surrounded by a Quadric Surface...

Computing Volumes Surrounded by a Quadric Surface and a Plane with MATLAB

Abstract:

We describe how to compute volumes of solids surrounded by a quadric surface and a plane. First, we use coordinate transformations to change an equation of a quadric surface into a standard equation, then apply integration techniques to find formulae of computing volumes. A MATLAB procedure is programmed that can be used to evaluate volumes bounded by a quadric surface and a plane.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 989-994)

Pages:

2480-2483

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.989-994.2480

Citation:

Cite this paper

Online since:

July 2014

Authors:

Qing Li Yin*

Keywords:

Plane, Quadric Surface, Volume

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Yang, Wei-Chi and Lo, Min-Lin. Finding Signed Areas and Volumes Inspired by Technology, The Electronic Journal of Mathematics and Technology, Volume 2, Number 2, 2008, pp.133-150.

Google Scholar

[2] S. Xia, W. C. Yang and V. Shelomovskii. Computing Signed Areas and Volumes with Maple, Electronic Journal of Mathematics and Technology (eJMT), Vol. 6 , No. 2, 2012, pp.175-195.

Google Scholar

[3] V. Shelomovskii and W. C. Yang. Finding volumes between a quadric surface and a plane, Electronic Journal of Mathematics and Technology (eJMT), Vol. 7, No. 1, 2013, pp.1-21.

Google Scholar

[4] Lingen Lv and Zidao Xu. Analytic Geometry (Fourth Edition, in Chinese), Higher Education Press, Beijing, 2006, pp.244-293.

Google Scholar

[5] William H. Press, Saul A. Teukolsk, William T. Vetterling and Brian P. Flannery. NUMERICAL RECIPES- The Art of Scientific Computing (Third Edition). Cambridge University Press, (2007).

DOI: 10.1086/416228

Google Scholar