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For which of the following regions, compactness is minimal?(a) Rectangle(b) Square(c) Irregular(d) DiskI got this question at a job interview.I would like to ask this question from Regional Descriptors topic in chapter Representation and Description of Digital Image Processing

Answer» CORRECT option is (d) Disk

Easy explanation: We know that, compactness of a REGION is defined as (perimeter)2/area. Thus, disk shaped region has a minimal VALUE of this RATIO and hence the minimal compactness.


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