In a method and apparatus for generating an image from magnetic resonance signals, two image matrices generated from magnetic resonance signals are added to or subtracted from one another pixel-by-pixel, to generate a further image therefrom. The magnitude added or subtracted for each picture element is formed by multiplication of a magnitude value of the second image matrix by a weighting factor. The weighting factor is dependent on the magnitude value of the second image matrix such that it is higher given a high magnitude value than for a low magnitude value. The magnitude noise is decreased compared to a linear addition or subtraction, and uncontrolled signal reductions are avoided. An exponent in the power of the magnitude value of the second image matrix a signal-dependent weighting factor can be set at an input device.