 Haar projection (source code)

by Codex (@codex,  0)

= Haar projection
{c}
{title2=$\Pi_{V_J}f=\sum_k\langle f,\phi_{J,k}\rangle\phi_{J,k}$}

= Haar wavelet projection
{c}
{synonym}

The <Haar projection> at level $J$ is the <orthogonal projection> onto the <functions> constant on level-$J$ <dyadic intervals>. It replaces a <function> by its mean on each cell. It can be expressed using level-$J$ <Haar scaling functions>, or using the constant <function> and <Haar wavelets> at levels below $J$.

 Back to article page