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Zero-Crossings on Lines of Curvature

dc.date.accessioned2004-10-04T14:54:40Z
dc.date.accessioned2018-11-24T10:13:11Z
dc.date.available2004-10-04T14:54:40Z
dc.date.available2018-11-24T10:13:11Z
dc.date.issued1984-12-01en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/6388
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/1721.1/6388
dc.description.abstractWe investigate the relations between the structure of the image and events in the geometry of the underlying surface. We introduce some elementary differential geometry and use it to define a coordinate system on the object based on the lines of curvature. Using this coordinate system we can prove results connecting the extrema, ridges and zero-crossings in the image to geometrical features of the object. We show that extrema of the image typically correspond to points on the surface with zero Gaussian curvature and that parabolic lines often give rise to ridges, or valleys, in the image intensity. We show that directional zero-crossings of the image along the lines of curvature generally correspond to extrema of curvature along such lines.en_US
dc.format.extent2749048 bytes
dc.format.extent2139271 bytes
dc.language.isoen_US
dc.titleZero-Crossings on Lines of Curvatureen_US


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