Smallest Enclosing Balls of Points
Project description
These are python bindings to Bernd Gärtners miniball software.
Setup
You can install miniball with:
pip install MiniballCpp
There are wheels available for most platforms.
There is also a package for Arch Linux (that is not maintained by me!): https://aur.archlinux.org/packages/python-miniball/.
Example
import math
import random
import miniball
P = [(random.uniform(0, 100), random.uniform(0, 100)) for i in range(10000)]
mb = miniball.Miniball(P)
print('Center', mb.center())
print('Radius', math.sqrt(mb.squared_radius()))
Notes
This algorithm has some numerical challenges worth mentioning. The result may deviate from the optimal result by 10 times the machine epsilon and sometimes even more:
P = [(642123.5528970208, 5424489.146461355),
(651592.349934072, 5424969.380667617),
(642591.1068130962, 5425775.320365907),
(646380.0282527813, 5418648.987550308),
(648098.891235107, 5426586.3920675),
(650011.5835629451, 5426132.820254512),
(650297.6960375579, 5419125.777007122),
(645249.2122321032, 5421055.739722816),
(645333.9125837489, 5426228.852409409)]
mb = miniball.Miniball(P)
if not mb.is_valid():
print('Possibly invalid!')
print('Relative error', mb.relative_error())
If this is a problem for you, shifting the input towards (0,0) may help:
minx = min(P, key=lambda p: p[0])[0]
miny = min(P, key=lambda p: p[1])[1]
P = [(p[0] - minx, p[1] - miny) for p in P]
mb = miniball.Miniball(P)
if not mb.is_valid():
print('Possibly invalid!')
print('Relative error', mb.relative_error())
Project details
Download files
Download the file for your platform. If you're not sure which to choose, learn more about installing packages.
Source Distribution
MiniballCpp-0.2.3.tar.gz
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MD5 | bee570bb42b1fc00b4bdecb146ead0ee |
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BLAKE2b-256 | b855e21b50bf5d4043f5cd5c351e6d608c72c0562ca092e8b58f4b74df328736 |
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Hashes for MiniballCpp-0.2.3-cp37-cp37m-musllinux_1_1_x86_64.whl
Algorithm | Hash digest | |
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SHA256 | e5b4106f280236101d0275428e39c52615963ff021399c7f0af0f4946167ebd3 |
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MD5 | adbffc48e8097acc1bba7e750c0665c2 |
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BLAKE2b-256 | 680bddb8168152d6fb949189e514d5e3642a0e7deb472008ad7d47f1cf594044 |
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Hashes for MiniballCpp-0.2.3-cp37-cp37m-musllinux_1_1_i686.whl
Algorithm | Hash digest | |
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SHA256 | 29f5abfd838b65b456f84fea7bdf11a078c66514f3b9e1e8a2c3f2873729a4fd |
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MD5 | e7748215ad469726c9ee1c17c7876de1 |
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BLAKE2b-256 | 177baaade1dd7963ce8f0b48e835033a33fad7f0c6ebe28f668985c205044978 |
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Hashes for MiniballCpp-0.2.3-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm | Hash digest | |
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SHA256 | 4d512997641e1d4f6dd59598883da994c6a2eaf74b1bdb05e242cb9b867ced2f |
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MD5 | 4ef6ac7d1b40be0702617a2e931f920b |
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BLAKE2b-256 | 637b67d22146d3d49354c3ba02a9a73f01cf7906b02d41a1875b9e1b1c09e900 |
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Hashes for MiniballCpp-0.2.3-cp37-cp37m-manylinux_2_17_i686.manylinux2014_i686.whl
Algorithm | Hash digest | |
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SHA256 | f4fe765c64c319d3ecd28df9367b0f854c53700f6c6fe04c32d33ded370cad4e |
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MD5 | 594685d3ffe862ffb3aab538b64f4c64 |
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BLAKE2b-256 | e46b8748e9dfee778a9176615958c41d55f73866dc69b81e18eb1edc911eda4f |
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Hashes for MiniballCpp-0.2.3-cp37-cp37m-macosx_10_9_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 0cdb99edd830b99effe3ace30a677d0eca1cf2943ffe11fe4128edb748b55152 |
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MD5 | 141075323efe47fb492d56fc279bcb75 |
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BLAKE2b-256 | 61c25803eec0df44e13e3a62f804fa49b3fedc3682c8c193bf1e25404a1d521d |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-win_amd64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 79d1517ae4172f4cec454c0cda21a301a071c575b5f8d226582977e091dfb67f |
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MD5 | b0eb20e7b14cbd65e0d73b01d763fc0b |
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BLAKE2b-256 | 140e376898477db507f1116122851d4bb98cb2002001e3ed0afea76b39f9d8b7 |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-win32.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 47d005fbef30d91fe1a03a310a4cba9780c8f365ac09063f3556cecfe6da4097 |
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MD5 | 114aea823625360dd3d122349c7b9990 |
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BLAKE2b-256 | 042b50a03ccfa3ab70056584c687b18f42ab1951035e45238f116a29fa4a1927 |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-musllinux_1_1_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | ba64c870b99c71dee56c289d62ec5263ac312a06ff18871249a9fd8e880e79c3 |
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MD5 | 9a25cdc75b78dc2ee19df04ebaea444d |
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BLAKE2b-256 | b82d678af87641fa8c87a9153ad4576cea0701ecf22ebbc8501c62b3d36d672a |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-musllinux_1_1_i686.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 5c0a96e4cd43964ebfa4fb2ba0965a4d0af9f3df0b8887b3a05465e6af2bd8b9 |
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MD5 | c4825441ae9bcf96a36f40f173d222a9 |
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BLAKE2b-256 | 82ba171d583d2bdd6ebb0216fe35bd9b9f457859003b912de6b808b439e6955f |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 7faacc8280bf477f049885aa95deb2a161e3fdcd9b689533dbab79f6894af06c |
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MD5 | e496207e3f1ac1e288cbd8904b51c3d0 |
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BLAKE2b-256 | 39a39c09800cebbffc5f5645e0ceaebb5ff7cfaab54bb3d248308a9aecc03709 |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-manylinux_2_17_i686.manylinux2014_i686.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | e5f93418db16d712e24fdb82748ad3f2909d5c367ff37b4697144ae082aa4a95 |
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MD5 | 51da37eb0b3438ac50dda991e6c185ac |
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BLAKE2b-256 | a7c2e3d9c78bf136aad33ec63e43e47588260f0b98dcee05101e0192bbdc30b0 |
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Hashes for MiniballCpp-0.2.3-cp36-cp36m-macosx_10_9_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | fa47bffea7b8f3452827093782c5bd7e83cf36186834dd29c589c2e3926b39e3 |
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MD5 | 47362f939c0646719e5ef0528692d020 |
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BLAKE2b-256 | 2b4d8f1080e8a0e1d6d7b9c33ada16ca0b0f84a5c7e3df0404e14be012a3ab96 |