Abstract
The time necessary to follow a path defined on a grey scale image is defined as the sum of the image values along the path. The geodesic time associated with two points of the image is nothing but the smallest amount of time necessary to link these two points. Starting from this notion, we define a new geodesic metric on the image plane: the generalized geodesic distance. The generalized geodesic distance betweeen two points is the length of the shortest path(s) linking these points in a minimum amount of time. This distance is used for defining a propagation function. Applications to shape description and interpolation from contour data are provided.
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© 1994 Springer Science+Business Media Dordrecht
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Soille, P. (1994). Generalized Geodesic Distances Applied to Interpolation and Shape Description. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_25
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DOI: https://doi.org/10.1007/978-94-011-1040-2_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4453-0
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