We have focused our interest on the registration of brightfield transmitted light microscopy images with respect to different histological stainings. For this kind of registration problem we have developed a new segmentation procedure. Based on the obtained consistent segmentations, a nonlinear registration transformation is computed. The applied registration procedure uses a curvature-based nonlinear partial differential equation in order to find the appropriate mapping between the images. We present an example for the registration of images of two consecutive histological sections from a uterine cervix specimen, where one section stained with p16INK4a was mapped onto another with H&E staining. Finally, we give an illustrative example for a tissue volume reconstruction based on an alternately stained large serial section.