We are proposing a new type of transformation that closely relates to Chord and Hough transform, and which can be very useful in recognition of binary images. In this method we are using lines of various positions and directions, which intersect the area of interest. Each line divides the image into two parts - sectors. Areas of the sectors are assigned to the line, and statistic of the sectors is calculated (for the set of lines). Calculations have shown that this new transformation is insensitive to noise (to a certain extent). Therefore, it can be used for noise insensitive pattern recognition.