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We introduce a novel approach for object segmentation from 3D images usingmodified minimal path Eikonal equation. The proposed method utilizes animplicit constraint - a second order correction to the inhomogeneous minimalpath Eikonal - preventing the adjacent minimal path trajectories to divergeuncontrollably. The proposed modification greatly reduces the surface areauncovered by minimal paths allowing the use of the calculated minimal path setas parameter lines of an approximate surface. It also has a loose connectionwith the true minimal surface Eikonal equations that are also deduced.

Surface Segmentation Using Implicit Divergence Constraint Between Adjacent Minimal Paths