A shape interpolation method for three‐dimensional digital images

Xiuyi Jin, Shigeki Yokoi, Jun‐ichiro Toriwaki · Systems and Computers in Japan · 1992

Abstract This paper proposes a new method to form an image of a three‐dimensional (3‐D) object from a set of slice images such as X‐ray CT and MRI by interpolating them. The 3‐D image is reconstructed by using the union of 2‐D images interpolated between adjacent sectional planes which are perpendicular to the slices. The method has features of: (1) interpolations between slices are carried out fully automatically if the image components in a region of interest are overlapped on adjacent slices, and if the region is extracted; (2) the operation of obtaining this is easy since the interpolated shape is obtained in a voxel form; (3) the method can be applied to an object with branches; and (4) the method also can be applied to an object with holes. After reviewing 3‐D interpolation methods, experiments with some artificially made objects and actual MRI images are shown to confirm the usefulness of the proposed method.

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