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On the Relationship Between Surface Covariance and Differential Geometry

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Shape in Picture

Part of the book series: NATO ASI Series ((NATO ASI F,volume 126))

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Abstract

In this paper the application of covariance techniques to surface representations (whether of range or intensity type) of 3-D objects is discussed and is compared to traditional methods using differential geometry. An analogous operator to the classical Weingarten map is defined and it is shown how this operator provides local invariant descriptors without using surface parameterizations or calculus.

This project was funded by grants from the Gottlieb Daimler and Karl Benz Foundation and the Australian Research Committee. Requests for reprints should be sent to Terry Caelli.

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References

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© 1994 Springer-Verlag Berlin Heidelberg

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Berkmann, J., Caelli, T. (1994). On the Relationship Between Surface Covariance and Differential Geometry. In: O, YL., Toet, A., Foster, D., Heijmans, H.J.A.M., Meer, P. (eds) Shape in Picture. NATO ASI Series, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03039-4_22

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  • DOI: https://doi.org/10.1007/978-3-662-03039-4_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08188-0

  • Online ISBN: 978-3-662-03039-4

  • eBook Packages: Springer Book Archive

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