Minimal Bounding Box
編集メモ: This file was selected as MATLAB Central Pick of the Week
With this function one can easily compute the minimal box (with right angles) around a set of points in 3d.
The extremal property of the box is determined either in terms of volume, surface or sum of edgelengths.
The calculation is based on heuristics only, but a huge number of tests did not show any counterexamples yet.
The algorithm behind the function is subdivided into three levels of accuracy with differing runtimes.
x = rand(10000,1);
y = rand(10000,1);
z = rand(10000,1);
tic;[rotmat,cornerpoints,volume,surface] = minboundbox(x,y,z,'v',3);toc
Elapsed time is 10.772170 seconds.
volume =
0.9993
surface =
5.9974
My thanks to John d'Errico and Roger Stafford for numerous discussions about proofs and algorithms in this context.
John also wrote minboundrect from the FEX, which heavily influenced this submission.
Also in this archive i included a small plot function (plotminbox) to show the resulting box via connecting the cornerpoints.
引用
Johannes Korsawe (2024). Minimal Bounding Box (https://www.mathworks.com/matlabcentral/fileexchange/18264-minimal-bounding-box), MATLAB Central File Exchange. 取得済み .
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ヒントを得たファイル: A suite of minimal bounding objects
ヒントを与えたファイル: BiofilmQ, Anatomy Boundary Analysis, SHAPE: SHape Analyser for Particle Engineering, Agglomorative Clustering for Fault Network Reconstruction
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