In morphological image processing, opening and closing are two important operations derived from erosion and dilation. These are used to smooth object boundaries, eliminate noise, and connect or disconnect regions based on the shape and size of the structuring element (SE).
Figure Reference: Fig. 9.8
- Fig. 9.8(a): Binary image containing object A
- Fig. 9.8(b): Circular SE B
- Fig. 9.8(c): Translations of B within A
- Fig. 9.8(d): Resulting opening A∘B
Opening removes narrow bridges and thin protrusions where B doesn’t fit fully.
Figure Reference: Fig. 9.9
- Fig. 9.9(a): Object A
- Fig. 9.9(b): SE B
- (c): B’s positions where it avoids A
- (d): Closing result A∙B
