Local and global integration of discrete vector fields

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Abstract

Several methods in the field of shape reconstruction [6, 8, 11] (most shading based methods) lead to gradient data that still have to be transformed into (scaled) height or depth maps, or into surface data for many applications. Thus the reconstruction accuracy also depends upon the performance of such a transformation module. Surprisingly, not much work was done so far in this area. This paper starts with a review of the state of the art and discusses two approaches in detail. Several experimental evaluations of both methods for transforming gradient data into height data are reported. The studied (synthetic and real) object classes are curved and polyhedral objects. General qualitative evaluations of the compared transformation procedures are possible in relation to these object classes and in relation to different types of noise simulated for synthetic objects.