Method for generating an approximated trace-weighted MR image of an examination object, comprising the following steps: - creating at least three diffusion-weighted MR images of the examination object, wherein each diffusion-weighted MR image is based on a diffusion encoding comprising a diffusion encoding direction and an associated diffusion gradient field, wherein the diffusion encoding direction of each diffusion-weighted MR image is different from the diffusion encoding directions of the other diffusion-weighted MR images, and wherein the diffusion gradient field of each diffusion-weighted MR image has essentially the same nominal diffusion encoding strength as the diffusion gradient fields of the other diffusion-weighted MR images; - determining spatial inhomogeneities of the diffusion gradient fields; - determining a weighting factor for each image point of each of the at least three diffusion-weighted MR images based on the spatial inhomogeneities by way of an optimisation method; characterised in that a - combining of the at least three diffusion-weighted MR images based on the weighting factors for generating the approximated trace-weighted MR image takes place at each image point according to the formula S approximated trace = ∏ n = 1 N S n α n where S (approximated trace) represents the signal of the approximated trace-weighted MR image, S n the signals of the scanned diffusion-weighted MR images where N is different diffusion encodings and α n the location-dependent weighting factor at the given image point of a diffusion-weighted MR image; wherein determining the weighting factors for each diffusion-weighted MR image comprises minimising a traceless portion of the approximated trace-weighted MR image and the at least three diffusion encoding directions are not orthogonal to each other. - creating at least three diffusion-weighted MR images of the examination object, wherein each diffusion-weighted MR image is based on a diffusion encoding comprising a diffusion encoding direction and an associated diffusion gradient field, wherein the diffusion encoding direction of each diffusion-weighted MR image is different from the diffusion encoding directions of the other diffusion-weighted MR images, and wherein the diffusion gradient field of each diffusion-weighted MR image has essentially the same nominal diffusion encoding strength as the diffusion gradient fields of the other diffusion-weighted MR images; - determining spatial inhomogeneities of the diffusion gradient fields; - determining a weighting factor for each image point of each of the at least three diffusion-weighted MR images based on the spatial inhomogeneities by way of an optimisation method; characterised in that a - combining of the at least three diffusion-weighted MR images based on the weighting factors for generating the approximated trace-weighted MR image takes place at each image point according to the formula S approximated trace = ∏ n = 1 N S n α n where S (approximated trace) represents the signal of the approximated trace-weighted MR image, S n the signals of the scanned diffusion-weighted MR images where N is different diffusion encodings and α n the location-dependent weighting factor at the given image point of a diffusion-weighted MR image;