3D-shape reconstruction based on radon transform with application in volume measurement

Abstract

In this paper, we have adopted a novel method for 3D-shape reconstruction. We derived a volumetric data which is constructed from a stack of cross-section images- the so-called tomographic image. Each of the cross-section images is computed from a series of photographs taken at a number of angles around the object. A corresponding intensity profile (row) on each digitized photograph resembles a projection data, which can be used to reconstruct the cross-section image. Once the volumetric data is obtained, isosurface of the object is extracted using the well-known marching-cube algorithm before being rendered with a conventional surface-rendering technique. Unlike conventional 3D-shape reconstruction (3Dshape recovery) method of using stereo pairs of camera, our technique does not suffer from laborious corresponding problem. Nor does it require a sophisticated scanning system as it does in the laser range finder. Our purposed method is tested to perform 3D-shape reconstruction of a variety of objects. The application of our purposed method for volume measurement is also presented in this paper. The results are very promising.