2003Unpublished venueRequires access

Determination of the apparent boundary of an object

S. Liu-Yu, Monique Thonnat

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Abstract

The notions of the apparent boundary and the strict apparent boundary of an object, which provide an automatic approach of boundary detection, are presented. It is shown that the apparent boundary and the strict apparent boundary have the same diameter and the same convex hull as the original object. It is also shown that the strict apparent boundary is weakly externally visible, and is a fixpoint of the two operators that find the apparent boundary and the strict apparent boundary.>

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What this paper is about

The notions of the apparent boundary and the strict apparent boundary of an object, which provide an automatic approach of boundary detection, are presented. It is shown that the apparent boundary and the strict apparent boundary have the same diameter and the same convex hull as the original object. It is also shown that the strict apparent boundary is weakly externally visible, and is a fixpoint of the two operators that find the apparent boundary and the strict apparent boundary.>

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Available abstract

The notions of the apparent boundary and the strict apparent boundary of an object, which provide an automatic approach of boundary detection, are presented. It is shown that the apparent boundary and the strict apparent boundary have the same diameter and the same convex hull as the original object. It is also shown that the strict apparent boundary is weakly externally visible, and is a fixpoint of the two operators that find the apparent boundary and the strict apparent boundary.>

Key concepts: Boundary (topology), Object (grammar), Convex hull, Mathematics, Computer science, Regular polygon, Mathematical analysis, Combinatorics

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