1. Microscope image processing method for execution on a computer the computer including a working memory having a pre-specified available memory capacity and a mass storage device that has a longer access time than said working memory, for processing a digital microscope image that comprises pixels (P i,j ), is n-dimensional, where n>1, comprises at least two partial images (TB 1 ), and has a size that exceeds the available memory capacity of said working memory, by applying a computing operation to at least one part of said microscope image, comprising: (a) storing said microscope image in said mass storage device, (b) breaking down said microscope image into at least two image segments (BA k ) that can be loaded into said working memory and that have a dimension m, where m≦n, (c) for one image segment (BA k ), determining all pixels that are located in said image segment (BA k ) and in at least one of said partial images (TB 1 ), so that a filled image segment results, (d) storing said filled image segment in said working memory, (e) applying said computing operation to said pixels (P i,j ) located in said filled image segment so that an image segment result is created, (f) repeating steps (c), (d), and (e) for all image segments (BA k ), and (g) combining all image segment results to create an overall result.