System for cropping the head of self-luminous rolled material, especially metal strips in a rolling train having a set of shears which are controlled by a controlling device arranged upstream the shears and including a width-measuring device for measuring the width of the rolled material, characterized in that the controlling device including a computer receives both signals from the width-measuring device designed as a line scanning camera, especially a diode-type line camera, and arranged immediately downstream of the last roughing stand of the rolling train and measuring repeatedly the width along a measuring line running transversely across the rolled material and signals from a speed-measuring device measuring the speed of the rolled material at the measuring line and signals from a barrier, especially a further line scanning camera, especially a diode-type line camera, arranged immediately upstream the shears and detecting the beginning of the head of the rolled material along a measuring line running transversely across the rolled material and signals from a further speed-measuring device measuring the speed of the rolled material upstream the shears and characterized in that the computer determines the distance separating the cutting line from the beginning of the head in accordance with the received signals for the width of the rolled material and its speed measured by a first speed-measuring device, whereby the determined distance together with the signals for the beginning of the head and its speed upstream of the shears are used to generate a control signal for the shears (10), said system further comprising a radiation intensity meter positioned in advance of the measuring line of said line scanning camera and connected to said line scanning camera to control the exposure time of said line scanning camera, arrange immediately downstream of the last roughing stand, to obtain optimum exposure with respect to the edges of said rolled material.