A METHOD FOR RECONSTRUCTING A 3D SURFACE FROM A 2D SKETCH

摘要

The present invention relates to a method for reconstructing a three-dimensional surface in a domain wherein the three-dimensional surface is reconstructed from a two- dimensional sketch comprising at least one stroke with a vector field assigned to the at least one stroke. The method comprises the steps of: interpolating the vector field to form a dense vector field; and reconstructing the surface using the dense vector field; wherein interpolating the vector field comprises minimizing a non-linear functional of the vector field with a curl-free constraint on the dense vector field, the non-linear functional of the vector field involving terms defined over the domain and a term defined over the at least one stroke, and wherein the non-linear functional of the vector field is minimized using an augmented Lagrangian method.