Shape-based interpolation

Extensions to a shape-based interpolation method in which pixels that share a boundary edge (one inside and the other outside the object) are considered to be at a distance between adjacent pixel centers are proposed. Using such an initialization for distance calculations, a generalization of the chamfer distance calculation is developed. The generalization allows the simultaneous calculation of distances within the object and its background by two consecutive chamfering processes. The performances of a number of variants of the methods are evaluated. It is shown that the shape-based interpolation using a near-optimal 3*3 distance and modified cubic spline between-slice interpolation has superior properties to previously proposed methods for estimating object locations in missing slices in tomographic radiology.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>