We define new measures of convexity for binary images. The convexity considered here is the so called Q-convexity, that is, convexity by quadrants. This kind of convexity has been mostly studied in Discrete Tomography for its good properties, and permits to generalize h-convexity to any two or more directions. Moreover convex binary images are also Q-convex, and for these two classes similar properties hold. Here we present two measures based on the geometrical properties of “Q-convex shape” which have the following features: (1) their values range from 0 to 1; (2) their values equal 1 if and only if the binary image is Q-convex; (3) their efficient computation can be easily implemented.

Balázs, P., Brunetti, S. (2016). A measure of Q-convexity. In Discrete geometry for computer imagery (pp.219-230). Springer Verlag [10.1007/978-3-319-32360-2_17].

A measure of Q-convexity

Brunetti, Sara
2016-01-01

Abstract

We define new measures of convexity for binary images. The convexity considered here is the so called Q-convexity, that is, convexity by quadrants. This kind of convexity has been mostly studied in Discrete Tomography for its good properties, and permits to generalize h-convexity to any two or more directions. Moreover convex binary images are also Q-convex, and for these two classes similar properties hold. Here we present two measures based on the geometrical properties of “Q-convex shape” which have the following features: (1) their values range from 0 to 1; (2) their values equal 1 if and only if the binary image is Q-convex; (3) their efficient computation can be easily implemented.
2016
9783319323596
Balázs, P., Brunetti, S. (2016). A measure of Q-convexity. In Discrete geometry for computer imagery (pp.219-230). Springer Verlag [10.1007/978-3-319-32360-2_17].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/998581