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Abstract: We propose a general paradigm for generating optimal coordinate frame fields that may be exploited to annotate and display curves and surfaces. Parallel-transport framings, which work well for open curves, generally fail to have desirable properties for cyclic curves and for surfaces. We suggest that minimal quaternion measure provides an appropriate generalization of parallel transport. Our fundamental tool is the "quaternion Gauss map," a generalization to quaternion space of the tangent map... (Update)
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BibTeX entry: (Update)
A.J. Hanson. Quaternion gauss maps and optimal framings of curves and surfaces. Indiana University Computer Science Department Technical Report 518 (October, 1998). http://citeseer.ist.psu.edu/hanson98quaternion.html More
@misc{ hanson98quaternion,
author = "A. Hanson",
title = "Quaternion gauss maps and optimal framings of curves and surfaces",
text = "A.J. Hanson. Quaternion gauss maps and optimal framings of curves and surfaces.
Indiana University Computer Science Department Technical Report 518 (October,
1998).",
year = "1998",
url = "citeseer.ist.psu.edu/hanson98quaternion.html" }
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[Article contains additional citations not shown here]
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