Digital images in this book are embedded in square grid arrangements and pixels are allowe...

Digital images in this book are embedded in square grid arrangements and pixels are allowed to be 4-, 8-, or m-connected. However, other grid arrangements are possible. Specifically, a hexagonal grid arrangement that leads to 6-connectivity, is used sometimes (see the following figure).

(a) How would you convert an image from a square grid to a hexagonal grid?

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(b) Discuss the shape invariance to rotation of objects represented in a square grid as opposed to a hexagonal grid.

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(c) Is it possible to have ambiguous diagonal configurations in a hexagonal grid, as is the case with 8-connectivity? (See Section 2.5.2.)