This paper describes a corneal endothelial image segmentation strategy based on a deep regression of a signed distance map (UNet-dm) compared to a classical pixel-wise classification (UNet-Mask). The proposed approach generates cell masks closer to reference masks, improving the mapping of well-defined cell and guttae boundaries. The results reveal enhanced morphometric parameters that align closer to reference values. The study emphasizes a new technique for continuous segmentation, employing a UNet model, demonstrating its promise for accurate segmentation of corneal endothelial cells and presenting it as a valuable alternative to other methods.