# Miscellaneous Notes

These are some notes for mainly personal usage. Read at your own risk, even though I try hard to make these notes as clear as possible without omitting basic yet crucial details. If you find errors, please share it with me.

## Geometry and Statistics

• [PDF|bib] A Note on Angular Central Gaussian Distribution and its Matrix Variant.

## Image Processing

• [PDF|bib] Derivation of Euler-Lagrange equation for ROF denoising algorithm.

## Elementary : Calculus

• [PDF|bib] Rodrigues’ formula for the Legendre polynomials.

## Elementary : Statistics

• [PDF|bib] $$L_2$$ distance between two Gaussian Mixture Models.

## Elementary : Computational

• [PDF|bib] Monte Carlo computation of $$L_p$$ distance between densities on hypersphere.