  We introduce a novel approach for object segmentation from 3D images using
modified minimal path Eikonal equation. The proposed method utilizes an
implicit constraint - a second order correction to the inhomogeneous minimal
path Eikonal - preventing the adjacent minimal path trajectories to diverge
uncontrollably. The proposed modification greatly reduces the surface area
uncovered by minimal paths allowing the use of the calculated minimal path set
as parameter lines of an approximate surface. It also has a loose connection
with the true minimal surface Eikonal equations that are also deduced.
