An exhaust aftertreatment filter is provided with localized and efficient heating for regeneration. Electrical and/or thermal conductors are wound with filter media sheets into a filter roll and/or conductors are provided at axial ends of the filter roll and/or microwave radiation is used for localized hot zone heating. Regeneration is provided at lateral slices of the filter roll lying in a plane extending transversely and radially relative to the filter roll axis.