Computer extended Descriptive Geometry is a novel approach for the construction of 3D parametric models by their projections, which address the spatial challenges associated with Descriptive Geometry. This paper examines the potential of CeDG to model general developable surfaces, with a focus on those with warped and non-proper (infinite location zones) regression edges. We designed and assessed a novel, discrete preliminary algorithm with two case studies: (i) a developable helicoid and (ii) a convolute with planar and warped directrix curves. The projections and flat pattern of the developable helicoid were exact, whereas the flat pattern of the convolute was approximated by an accurate discrete solution. Our results suggest that CeDG can be expanded to implement a robust final method for modeling developable surfaces and their flattened patterns, supporting dynamic parameterization.