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Modeling with Scaffolding and Anisotropic Convolution surfaces

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PySkelton

PySkelton is a Python3 (tested with Python 3.7.2) library for skeleton-based modeling. It includes a scaffolding algorithm and anisotropic convolution surfaces.

Scaffold: coarse quad mesh that follows the structure of the skeleton, more details in

Fuentes Suárez, A. J. & Hubert, E. Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry Computer-Aided Design, Elsevier BV, 2018 , 102 , 83-93. hal-01774909v1 DOI 10.1016/j.cad.2018.04.016

Anisotropic Convolution Surfaces: an extension to Convolution Surfaces that adds ellipse-like normal sections, hence anisotropy, around the skeleton. It supports G^1 curves as skeleton, and uses line segments and arcs of circle (circular splines) as skeletal pieces.

Dependencies

Python:

  • pyhull: convex hull computations
  • numpy: numerics, linear algebra, vectors
  • pyroots: non-derivate root computation (BrentQ method)
  • swiglpk: (Gnu Linear Programming Kit) mixed integer linear solver

Build

In order to use Anisotropic Convolution Surfaces we need to build first the numerical integration code (in C). For that just run make field_eval_static in PySkelton source folder (./PySkelton) to build all the *.c files into field_eval_static.so shared library that is used by nformulas.py. This library implements the numerical integration, and uses GNU Scientific Library integration routines from the static library libgsl.a.

Failure to build the shared library will prevent the use of anisotropic convolution (PySkelton.Field,PySkelton.Mesher), but the scaffolding algorithm should be fine.

Install python package

The python package can be built and installed by running

python setup.py sdist
python setup.py install

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Modeling with Scaffolding and Anisotropic Convolution surfaces

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