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<p>Generic singularities can provide position-independent information about the qualitative shape of surfaces. The authors determine the singularities of the principal direction fields of a surface (its umbilic points) from a computation of the index of the fields. The authors present examples both for 3-D synthetic images to which noise has been added and for clinical magnetic resonance images.</p>
3D images; generic singularity; picture processing; pattern recognition; principal direction fields; qualitative shape; clinical magnetic resonance images; computational geometry; pattern recognition; picture processing

P. Sander and S. Zucker, "Singularities of Principal Direction Fields from 3-D Images," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 14, no. , pp. 309-317, 1992.
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