Parameterization of triangulated surface meshes is a crucial problem in computer graphics,
computer aided geometric design and digital geometric processing. This paper addresses
the problem of planar parameterization, ie, mapping a given triangulated surface onto a
planar domain. We construct an optimized algorithm for parameterization of genus-zero
meshes and aim to minimize the distortion of the parameterization. An energy functional is
proposed in the paper, that quantities angle and area distortions simultaneously, while the …