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We present a more general inversion and regularization method based on constrained minimization on arbitrary grids. <br>Weighting matrices are used to control both model cells and their boundaries. <br>This allows for involving additional information as bore hole data, known boundaries or other geophysical methods, e.g., in form of a joint inversion. <br> <br>We show different examples, each with additional information that is incorporated into the inversion and, thus, enhances the interpretation significantly.