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docs/tutorial.md

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## Introduction
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Directional is a C++ geometry processing library written as an extension library to [libigl](http://libigl.github.io/libigl/), with a specialization in directional-field processing. The functionality is based on the definitions and taxonomy surveyed theoretically in [^vaxman_2016], and through it by the relevant papers in the literature. It contains tools to edit, analyze, and visualize directional fields of various degrees and symmetries.
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Directional is a C++ geometry processing library written on the basis of [libigl](http://libigl.github.io/libigl/), with a specialization in directional-field processing. The functionality is based on the definitions and taxonomy surveyed theoretically in [^vaxman_2016], and through it by the relevant papers in the literature. It contains tools to edit, analyze, and visualize directional fields of various degrees and symmetries.
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The underlying structure extends the general philosophy of [libigl](http://libigl.github.io/libigl/): the library is header only, where each header contains a set of functions closely related (for instance, the precomputation and computation of some directional quantity over a mesh). For the most part, one header contains only one function. The data structures are, for the most part, simple matrices in [Eigen](http://eigen.tuxfamily.org/index.php?title=Main_Page), and the library avoids complicated and nested structures, relying instead on standalone functions. The visualization is done through a specialized class ```DirectionalViewer```, on the basis of [libigl](http://libigl.github.io/libigl/) viewer, with many extended options that allow the rendering of directional fields.
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On big meshes, it might appear cumbersome to view *all* glyphs on every face. It is possible to only view the glyphs on a subsample of faces, by using the ```sparsity``` parameter in ```DirectionalViewer::set_field()```.
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![([Example 105]({{ repo_url }}/tutorial/105_Sparsity/main.cpp)) Dense and Sparse(r) views of a field as glyphs.](images/105_Sparsity.png)
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![([Example 105]({{ repo_url }}/tutorial/105_Sparsity/main.cpp)) Dense and Sparse views of a field as glyphs.](images/105_Sparsity.png)
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## Chapter 2: Discretization and Representation
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external/libigl

Submodule libigl updated 226 files

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