Coco notes

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.

The source files below are often literate programs: 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 makefile. 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).

1. Image processing

Image processing with graphs, html, pdf, tex

We propose octave implementations of graph-based mathematical morphology and linear PDE for image processing.

The canonical noise of an image, html, pdf, tex

A cute trick for adding noise without recourse to pseudo-random numbers.

Linear dithering, html, pdf, tex

We explore the space of binarization techniques that lie between thresholding and dithering.

Gallery of single-layer textures, html, pdf, tex

We show how single layer CNN can hallucinate snowflakes and dandelions.

Colors of image noise, html, pdf, tex

We show gaussian noise which is not necessarily white.

Imscript tutorial, html,

A tutorial for some of the programs from imscript.

2. Math

One-dimensional clustering with one cluster html, pdf, tex

A comprehensive study of the problem of combining several numbers into one.

Generalizations of Fourier analyisis, html, pdf, tex

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)

The standard PDE on a manifold html, pdf, tex

We state and solve the standard linear PDE on a compact Riemannian manifold.

Algebraic Graph Calculus html, pdf, tex

We do graph theory as if it was vector calculus.

The Cauchy basis html, pdf, tex

We introduce a sequence of functions that satisfy Dirichlet and Neumann boundary conditions at the same time.

3. Programming

FTR, html

A portable and ported API for simple graphical interactive programs.

NIPL, txt

NIPL is Not an Image Processing Libray

Makefiles for mathematicians, html

Why and how to enjoy Makefiles

How to write sane C++, wiki

A very short but very strict set of conventions for programming in C++

How to write sane C, wiki

An elaborate set of conventions for programming in C

How to write sane shell scripts, txt

An simple set of conventions for shell scripting.

How to write sane python, txt

Very un-pythonic conventions for programming in python

Zero boilerplate, html. pdf.

Templates are bad, starting your files from scratch is good.