A system of optimizing the volume of boards that may be cut from a log provides for one surface of a cant to be cut with a curved or straight surface. This takes into account curved, tapered or straight logs. The system comprises a scanner positioned to scan the log and determine an optimum cut surface profile, a cutting head positioned to cut the top surface of the log, the cutting head having relative vertical movement to the top surface, a conveyor to convey the log passed the scanner and the cutting head, and a controller to control the relative movement of the cutting head in accordance with the signal from the scanner to produce the predetermined optimum cut surface profile for the top surface of the log.