  In this paper we present a balanced phase field model for active surfaces.
This work is devoted to the generalization of the Balanced Phase Field Model
for Active Contours devised to eliminate the often undesirable
curvature-dependent shrinking of the zero level set while maintaining the
smooth interface necessary to calculate the fundamental geometric quantities of
the represented contour. As its antecedent work, the proposed model extends the
Ginzburg-Landau phase field energy with a higher order smoothness term. The
relative weights are determined with the analysis of the level set motion in a
curvilinear system adapted to the zero level set. The proposed model exhibits
strong shape maintaining capability without significant interference with the
active (e.g. a segmentation) model.
