A method of moments solution is presented for the problem of electromagnetic scattering from homogeneous cylinders with edges. Transverse magnetic (TM) and transverse electric (TE) cases for metallic and penetrable cylinders are also treated. The moment solution uses a recently suggested multifilament current model to simulate the fields, special attention being paid to the accommodation of edges when using this model. An alternative hybrid method that uses a combination of a few on-surface pulse functions to negotiate the field behavior near the edges together with a filamentary current model whose field can represent the smooth field constituent on the boundary very well is also presented. Results of both methods are given and compared with available known solutions based on a standard moment method solution that employs surface pulse functions.