Exact minimum bounding spheres and circles
Bounding Spheres and Circles
The problem of finding minimum bounding spheres (aka minimum enclosing spheres) is frequently encountered in a number of applications, including computer graphics and patter recognition. While a number of relatively simple algorithms exist for finding such spheres, there are no robust implementations of these algorithms in Matlab that can be readily found on-line. Functions contained in this submission are meant to fill this void.
Exact minimum bounding spheres and circles can be computed using the functions titled ExactMinBoundSphere3D.m
and ExactMinBoundCircle.m
, both implementing Wezlz’s algorithm [1]. Approximate minimum bounding
spheres in any dimension can be computed using ApproxMinBoundSphereND.m
function, which implements Ritter’s
algorithm [2].
For convenience, I also included functions VisualizeBoundSphere.m
and VisualizeBoundCircle.m
that allow you to
visualize input point clouds (or meshes) with their respective minimum bounding sphere/circle (see demo pic).
For demonstration on how to use the functions, add this repository to your Matlab path and enter MinBoundSphereDemo
into
command window.
References
[1] Welzl, E. (1991), 'Smallest enclosing disks (balls and ellipsoids)', Lecture Notes in Computer Science, Vol. 555, pp. 359-370
[2] Ritter, J. (1990), 'An efficient bounding sphere', in Graphics Gems, A. Glassner, Ed. Academic Press, pp.301-303
License
MIT © 2019 Anton Semechko a.semechko@gmail.com
Zitieren als
Anton Semechko (2024). Exact minimum bounding spheres and circles (https://github.com/AntonSemechko/Bounding-Spheres-And-Circles), GitHub. Abgerufen .
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Inspiriert: Anatomy Boundary Analysis, SHAPE: SHape Analyser for Particle Engineering
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Auxiliary
Versionen, die den GitHub-Standardzweig verwenden, können nicht heruntergeladen werden
Version | Veröffentlicht | Versionshinweise | |
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1.4.0.1 | Use README.md from GitHub |
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1.4.0.0 | - migrated to GitHub |
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1.3.0.0 | - Made changes to return parameters of minimum bounding circles instead of circumcircles for point sets representing vertices of obtuse triangles. Thanks to Yves Konkel for pointing out this bug. |
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1.2.0.0 | - Removed minor bug pointed out by Wang Yong
|
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1.1.0.0 | added a function that computes exact minimum bounding circles |
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1.0.0.0 |