A method for segmenting an anatomical structure within medical image data includes acquiring medical image data. The medical image data is transformed from an original image space into a projective dual image space. A boundary of an anatomical structure is identified within the transformed medical image data based on a set of preexisting training data. An inverse transform is performed on the transformed medical image data and the identified boundary to convert the transformed medical image data and the identified boundary into the original image space. The inverse transformed identified boundary of the anatomical structure is used to segment the anatomical structure within the acquired medical image data.