Lie Group Algebra Convolutional Filters
Lie Group Algebra Convolutional Filters
In this paper we propose a framework to leverage Lie group symmetries on arbitrary spaces exploiting <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">algebraic signal processing</i> (ASP). We show that traditional group convolutions are one particular instantiation of a more general Lie group algebra homomorphism associated to an algebraic signal model rooted in the Lie …