A method for projecting a 3D surface geometry onto a planar projection comprises: obtaining a 3D geometry of a chamber surface using an algorithm that generates angles and distances between points on the chamber surface that represent mapping information; applying a cutting curve to at least two points on the chamber surface; and at least partially unfolding at least a portion of the chamber surface along the cutting curve to form a planar projection that optimally preserves the angles and distances between points on the chamber surface.