Determination of the apparent boundary of an object
S. Liu-Yu, Monique Thonnat
Abstract
S. Liu-Yu, Monique Thonnat
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.>
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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