The edge-based Spatial Frequency Response (e-SFR) method is well established and has been included in the ISO 12233 standard since the first version in 2000. A new 4th edition of the standard is proceeding, with additions and changes that are intended to broaden its application and improve reliability. We report on results for advanced edge-fitting which, although reported before, was not previously included in the standard. The application of the e-SFR method to a range of edge-feature angles is enhanced by the inclusion of an angle-based correction, and use of a new test chart. We present examples of the testing completed for a wider range of edge test features than previously addressed by ISO 12233, for near-zero- and -45-degree orientations. Various smoothing windows were compared, including the Hamming and Tukey forms. We also describe a correction for image non-uniformity, and the computing of an image sharpness measure (acutance) that will be included in the updated standard.