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What is the study of properties of a figure that are unaffected by any deformation?

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What is the study of properties of a figure that are unaffected by any deformation?

(a) Topology

(b) Geography

(c) Statistics

(d) Deformation

The question was posed to me during an interview.

This intriguing question comes from Regional Descriptors in chapter Representation and Description of Digital Image Processing

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The correct answer is (a) Topology

Easy explanation: We can define topology as the study of properties of a figure that are unaffected by any deformation, as long as there is no joining or tearing of the figure. We use topological properties in the region description.

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