A Class of High Pass Filters Derived From Elliptic Differential Operators

In this study, we review the elliptic differential operators and filters, and due to a wide range of elliptic operators, focus on a batch of elliptic operators with constant coefficients second order and then generalizing them to a higher order. Finally by discretization of the elliptic operators, we express and prove two theorems and show that the obtained filters are the high pass.

Keywords:

filters , high pass filter , differential operator , principal symbol , Elliptic ‎operators.‎