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<!DOCTYPE html>
<title>Coco notes</title>
<h1>Coco notes</h1>
<img src="coconut.png" alt="cocos nucifera">
<p>
These notes are mostly for personal use, so that i do not forget the things
that took some time to learn. There is no pretense of novelty anywhere.
<p>
The source files below are often <i>literate programs</i>: a single file is
used to run the experiments and to render the result into html and pdf.
All the notes are thus built by a simple
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/Makefile">makefile</a>.
For image-heavy documents, the html output is recommended because sets of
related images are collected into galleries (the pdf file will have many
pages with one image on each).
<h2>1. Image processing</h2>
<aside style="color:gray;font-size:70%;">
<i>
An image is an array of numbers; not luminances, not intensities, not
heights, just numbers
</i>
</aside>
<dl>
<dt>
<b>Image processing with graphs</b>,
<a href="ccn/image_processing_with_graphs.html">html</a>,
<a href="ccn/image_processing_with_graphs.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/image_processing_with_graphs.tex">tex</a>
<dd>
We propose octave implementations of graph-based mathematical morphology
and linear PDE for image processing.
<dt>
<b>The canonical noise of an image</b>,
<a href="ccn/the_canonical_noise.html">html</a>,
<a href="ccn/the_canonical_noise.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/the_canonical_noise.tex">tex</a>
<dd>
A cute trick for adding noise without recourse to pseudo-random numbers.
<dt>
<b>Linear dithering</b>,
<a href="ccn/linear_dithering.html">html</a>,
<a href="ccn/linear_dithering.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/linear_dithering.tex">tex</a>
<dd>
We explore the space of binarization techniques that lie between thresholding
and dithering.
<dt>
<b>Gallery of single-layer textures</b>,
<a href="ccn/single_layer_gallery.html">html</a>,
<a href="ccn/single_layer_gallery.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/single_layer_gallery.tex">tex</a>
<dd>
We show how single layer CNN can hallucinate snowflakes and dandelions.
<dt>
<b>Colors of image noise</b>,
<a href="ccn/colors_of_noise.html">html</a>,
<a href="ccn/colors_of_noise.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/colors_of_noise.tex">tex</a>
<dd>
We show gaussian noise which is not necessarily white.
<dt>
<b>Imscript tutorial</b>,
<a href="ccn/itut/i.html">html</a>,
<dd>
A tutorial for some of the programs from <a
href="http://github.com/mnhrdt/imscript">imscript</a>.
</dl>
<h2>2. Math</h2>
<aside style="color:gray;font-size:70%;">
<i>
Forget about blackboards! Mathematics is best done by scribbling in the
sand.
</i>
</aside>
<dl>
<dt>
<b>One-dimensional clustering with one cluster</b>
<a href="ccn/one_dimensional_clustering.html">html</a>,
<a href="ccn/one_dimensional_clustering.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/one_dimensional_clustering.tex">tex</a>
<dd>
A comprehensive study of the problem of combining several numbers into
one.
<dt>
<b>Generalizations of Fourier analyisis</b>,
<a href="ccn/gen_fourier.html">html</a>,
<a href="ccn/gen_fourier.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/gen_fourier.tex">tex</a>
<dd>
We explain some common generalizations of Fourier analysis: sampling
theory, distribution theory, pontryagin duality and spectral geometry.
The part on spectral theory is shared with the article about PDE on
manifolds (needs some editing yet)
<dt>
<b>The standard PDE on a manifold</b>
<a href="ccn/standard_pde_manifold.html">html</a>,
<a href="ccn/standard_pde_manifold.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/standard_pde_manifold.tex">tex</a>
<dd>
We state and solve the standard linear PDE on a compact Riemannian
manifold.
<dt>
<b>Algebraic Graph Calculus</b>
<a href="ccn/algebraic_graph_calculus.html">html</a>,
<a href="ccn/algebraic_graph_calculus.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/algebraic_graph_calculus.tex">tex</a>
<dd>
We do graph theory as if it was vector calculus.
<dt>
<b>The Cauchy basis</b>
<a href="ccn/cauchy_basis.html">html</a>,
<a href="ccn/cauchy_basis.pdf">pdf</a>,
<a href="https://github.com/gabarro/gabarro.github.io/blob/master/ccn/cauchy_basis.tex">tex</a>
<dd>
We introduce a sequence of functions that satisfy
Dirichlet and Neumann boundary conditions at the same time.
</dl>
<h2>3. Programming</h2>
<aside style="color:gray;font-size:70%;">
<i>
Use tabs everywhere, except in Makefiles.
</i>
</aside>
<dl>
<dt>
<b>FTR</b>,
<a href="ccn/ftr.html">html</a>
<dd>
A portable and ported API for simple graphical interactive programs.
<dt>
<b>NIPL</b>,
<a href="ccn/txt/nipl.txt">txt</a>
<dd>
NIPL is Not an Image Processing Libray
<dt>
<b>Makefiles for mathematicians</b>,
<a href="ccn/makemath.html">html</a>
<dd>
Why and how to enjoy Makefiles
<dt>
<b>How to write sane C++</b>,
<a href="http://gabarro.org/wiki/how_to_write_sane_c++">wiki</a>
<dd>
A very short but very strict set of conventions for programming in C++
<dt>
<b>How to write sane C</b>,
<a href="http://gabarro.org/wiki/how_to_write_sane_c">wiki</a>
<dd>
An elaborate set of conventions for programming in C
<dt>
<b>How to write sane shell scripts</b>,
<a href="ccn/txt/how_to_write_sane_scripts.txt">txt</a>
<dd>
An simple set of conventions for shell scripting.
<dt>
<b>How to write sane python</b>,
<a href="ccn/txt/how_to_write_sane_python.txt">txt</a>
<dd>
Very un-pythonic conventions for programming in python
<dt>
<b>Zero boilerplate</b>,
<a href="ccn/zero_boilerplate.html">html</a>.
<a href="ccn/zero_boilerplate.pdf">pdf</a>.
<dd>
Templates are bad, starting your files from scratch is good.
</dl>
<hr />
<!-- the tracker pixel -->
<img src="http://boucantrin.ovh.hw.ipol.im:7743/white_pixel.png?a=ccn" width="1" height="1" alt="">
<!--
<pre>
Blog-like articles
==================
IMAGE PROCESSING
* Colors of image noise
* How to visualize a Fourier transform
* How to get rgb from multispectral images
* Gallery of finite difference schemes
* Gallery of single-layer textures
* Gallery of two-layer textures
* Imscript gallery / tutorial
* Simple mathematical morphology (morsi)
* blur
* fft, ifft, dct, dht
* ftr
* imprintf
* plambda
* simpois
* veco, vecov, vecoh
* icrop, powerkill, epiview, dosdo
* cpu
* nipl
* iio
* fancy_image
* The PDS image format
* Image processing in the unix environment
* Continuous histograms
* Improper convolution kernels
* The Riesz-Shepard-Lang kernel
* A pixel is not a small square
* A pixel is a small square
* A square is not a square
MATH
* Means, medians, modes and more
* Simple computations in Bayesian inference
* Multidimensional Laplace and Cauchy distributions
* The Gnedenko-Kolmogorov central limit theorem
* Taylor, Fourier and Cauchy
* Dual numbers
* Algebraic graph calculus
* Aliasing and Euclidan division
* Canonical PDE on manifolds
* Two paths to spherical harmonics
* The Cauchy basis
* Tensor calculus
* Flat differential geometry
* Fun with the coarea formula
* The general Euler-Lagrange formula
* From Snell's law to Christoffel symbols
* UTM coordinates
* Spherical geometry
* Numeric inversion of rational functions
* Bernstein polynomials
* Dual numbers and Complex numbers
PROGRAMMING
* Random numbers of various distributions
* Algorithms for computing medians
* Fun with sparse matrices
* An octave/numpy rosetta stone
* The C compiler toolchain for mathematicians
* Makefiles for mathematicians
* C programming style
* C++ programming style
* Shell programming style
* Python programming style
* Licensing rant
* Python rant
* Terms
* Literate web programming
</pre>
-->
<!-- vim: ts=2 sw=2 spell spelllang=en
-->