NeighborOffsets

NeighborOffsets[n, k] returns a list of relative offsets of a point in a centered neighborhood for given array depth n and order k (n≥ k).

The option ConnectivityNumber may be used to select one of many typical settings including 4- and 8-connectivity in 2D and 6-, 18-, and 26-connectivity in 3D.

The option NeighborRange may be used to select All, "Causal", or "AntiCausal" subsets of the offsets.

See also User's Guide 6.5.

New in Version 2.

Examples

Here we load the package.

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Here are all the possible offsets for a point on a plane.

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The last two results are examples of neighborhoods with so-called 4- and 8-connectivity, respectively.

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This shows an 8-connected, causal neighborhood of a sample in 2D. A causal neighborhood includes only those samples that had already been visited in a systematic scanning process. Note that we tacitly assume a left-to-right and top-to-bottom scanning order.

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