A method for printing an object using a color image printer is provided. The printer applies colorant dots having a flat shape. The object has an apparent surface with a locally varying color for representing a color image on the surface. The printer comprises a white colorant, that is applied as a background underneath a surface colorant for begetting a local color of the apparent surface. The invented method comprises the steps of: generating two-dimensional image data for composing the object in slices; determining a local surface orientation of the apparent surface of the object; and applying colorant material in accordance with the two-dimensional image data, wherein, in dependence on the local surface orientation, white colorant dots are deposited between other colorant dots to compensate a color effect of an orientation of a surface colorant dot relative to the local surface orientation.