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Singularities of Principal Direction Fields from 3-D Images
March 1992 (vol. 14 no. 3)
pp. 309-317

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.

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Index Terms:
3D images; generic singularity; picture processing; pattern recognition; principal direction fields; qualitative shape; clinical magnetic resonance images; computational geometry; pattern recognition; picture processing
Citation:
P.T. Sander, S.W. Zucker, "Singularities of Principal Direction Fields from 3-D Images," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 3, pp. 309-317, March 1992, doi:10.1109/34.120326
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