Jumble of Thoughts: here I give myself the liberty to freely write down anything, without caring about correctness, completeness, formatting
or relevance. Those draft may be incomplete, incorrect, or just plain wrong. I may convert those notes into a proper article later on, or not.
All my notes on "curvature" (curve, surface etc.)
Various posts to compute curvature on mesh, function graph, distance field, implicit surfaces... - 04/2024 - #Math
Introduction à l'optimization et problèmes de minimisation
Régression linéaire, déscente de gradient, Multiplicateur de Lagrange etc. - 03/2024 - #Math
How to derive the formula of the curvature of a curve
Every single steps detailed - 03/2023 - #Math
General Leibniz rule Explained
how to read the multinomial theorem or general Leibniz rule formula - 03/2023 - #Math
Visualizing the inverse theorem
How to compute slope of the inverse without the analytical formulation of the inverse itself! - 03/2023 - #Math
Maxima cheat sheet
List of ambiguous operators - 02/2023 - #Math
A geometric interpretation of the cross product
- 10/2022 - #Math
Tensor basic definition
Physics, continuum mechanics, stress tensors etc. - 04/2022 - #Math
Avoid SVD to compute optimal rotation between point sets
Optimal rotation in shape matching. - 06/2019 - #Math
Draft note
Polar decomposition of a 3x3 matrix
3x3 SVD - 05/2018 - #Math
Leaving [ 
C++ code ] to decompose a 3x3 matrix into rotation and scale/shear with polar decomposition.
Gradient rules
Multivariate calculus - differentiate expressions with nabla/gradient operator. - 01/2015 - #Math
Cheat sheet to differentiate expressions with the \( \nabla \) operator to compute gradients of various functions.
Singular value decomposition of a 2x2 matrix (C++ code)
2x2 SVD of a matrix (code source) - 11/2013 - #Math
Dropping some [ code here] to do a singular value decomposition (SVD) of a 2 by 2 real matrix.
C code for 4x4 matrix inversion
Just leaving some code here to invert either column or row major 4x4 matrices.
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