Automatic Surface Reconstruction Based on the Fusion of Fuzzy Logic and Robust Estimation Techniques

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Abstract:

Automatic surface reconstruction by means of digital image matching essentially involves computation in both image and object spaces. In image space, image matching is performed according to certain radiometric and geometric similarity criteria for conjugate point determination. The matching operations may therefore be regarded as decision–making processes. In practice, however, the similarity criteria for conjugate point determination demonstrate non–deterministic behaviour. Thus, the nature of these decision–making processes is more compatible with fuzzy reasoning concepts. In object space, on the other hand, surface reconstruction procedures, which operate on the basis of previously determined conjugate points, are essentially deterministic in nature and hence demand rigorous geometric modelling. In this paper, a new approach for automatic surface modelling is proposed, based on two different mathematical treatments: a fuzzy logic reasoning method for the conjugate point determination in image space; and a robust finite elements approach for the surface modelling in object space. Tests carried out on real data demonstrate the high potential of the strategy proposed.

Keywords: DSM; finite elements technique; fuzzy logic; image matching; robust estimation

Document Type: Original Article

DOI: http://dx.doi.org/10.1111/0031-868X.00212

Affiliations: 1: University of Tehran, Iran samadz@ut.ac.ir 2: University of Tehran, Iran aazizi@ut.ac.ir 3: University of Tehran, Iran lucas@karun.ipm.ac.ir 4: University of Applied Sciences Stuttgart, Germany m.hahn.fbv@fht–stuttgart.de

Publication date: October 1, 2002

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