A library for computing topological data structures
Project description
A library for computing topological data structures stemming from Morse Theory. Given a set of arbitrarily arranged points in any dimension, this library is able to construct approximate topological structures using a neighborhood graph to simulate manifold structures.
Installation
Currently, you can use pip to install this package and all of its prerequisite libraries:
pip install topopy
Or to install from source, install all of the prerequiste libraries:
And then clone and build the source repository:
git clone https://github.com/maljovec/topopy.git cd topopy make python setup.py [develop|install]
Example Usage
import nglpy as ngl import numpy as np import topopy def hill(_x): _x = np.atleast_2d(_x) x = _x[:, 0] y = _x[:, 1] return np.exp(- ((x - .55)**2 + (y-.75)**2)/.125) + 0.01*(x+y) X = np.random.rand(100,2) Y = hill(X) graph = ngl.EmptyRegionGraph(beta=1.0, relaxed=False, p=2.0) msc = topopy.MorseSmaleComplex(graph=graph, gradient='steepest', normalization='feature') msc.build(X, Y) msc.get_partitions()
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SHA256 | 8b3e572588c8b0da6dad3504ab9398d1b008c8735aa5136f918fdce2b7904fb5 |
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MD5 | cfc33d76df60c396af251bef54a7363b |
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BLAKE2b-256 | 6ceb2b7739066bec87d6b3aeccd7f8dc23bc5fea04a1951af2611143828ab3f7 |
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Hashes for topopy-1.0.3-cp37-cp37m-musllinux_1_1_i686.whl
Algorithm | Hash digest | |
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SHA256 | 45e4783a463e1b68faec4dd16a584b2962fb35af9eb90dae7a4fcbbbb131c3b5 |
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MD5 | 2deaca606717ac6a04b6cde0ef36d354 |
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BLAKE2b-256 | 6deec703ba73f1b4dbdf63957816081fc98e57e3549d7cb1e8af03365c770a06 |
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Hashes for topopy-1.0.3-cp37-cp37m-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
Algorithm | Hash digest | |
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SHA256 | 86b728fa60b92e50a8915945b80a895e87b845861b257a2818b7b55b6ad3a90a |
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MD5 | 3ae9576a78467afd39a30a8ec71450da |
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BLAKE2b-256 | 2f1cd8e50e9824bd6c535beb9999640a4fea0fa9eeb8c81e86c46004e884cfa7 |
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Hashes for topopy-1.0.3-cp37-cp37m-manylinux_2_17_i686.manylinux2014_i686.whl
Algorithm | Hash digest | |
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SHA256 | ff5b456bd88edfb1100c7452d883d7ef2ea43eb6b44c4069ab29f46e43f9b945 |
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MD5 | fa73bbb09d05adbe449da720280fa2c5 |
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BLAKE2b-256 | 303d26ffd85eddd65df6474fd51fe76257bf7a1b648b1abd96b93e749f701e1f |
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Hashes for topopy-1.0.3-cp37-cp37m-macosx_10_9_x86_64.whl
Algorithm | Hash digest | |
---|---|---|
SHA256 | 930ccd987fcea3d760182cd5aff7897a9ee64f3e04b4329b9c58d9d6e68b9c13 |
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MD5 | 98de6239435096f1ad13f4867f5ee42a |
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BLAKE2b-256 | ce0fc7d664f4718441428adb842cdb37aea83e58209b5e2ab414c27f84842f19 |