CrossMatrix

CrossMatrix[r]

gives a matrix whose elements are 1 in a centered cross-shaped region that extends r positions along each index direction, and are 0 otherwise.

CrossMatrix[r,w]

gives a w×w matrix containing a cross-shaped region of 1s.

CrossMatrix[{r1,r2,…},…]

yields an array whose elements are 1 in a centered cross-shaped region that extends ri positions in the i^(th) index direction.

Details

  • The cross of 1s is always at the center of the region.
  • In CrossMatrix[r] or CrossMatrix[{r1,…}] the matrix or array is sized so as to just include all nonzero elements.
  • CrossMatrix[All,w] gives a w×w matrix containing a cross shape that is as large as possible.
  • CrossMatrix[…,{w1,w2,…}] gives a w1×w2×… array.
  • CrossMatrix[{r1,…,rn},w] gives a w×…×w array.
  • CrossMatrix[All,{w1,…,wn}] gives a w1×…×wn array containing a cross-shaped region that is as large as possible.
  • Elements of CrossMatrix[r] are 1 if their edit distance from the center is not more than 1.
  • The parameter r need not be an integer; in an odd-dimensional array, the cross extends Floor[Abs[r+1/2]] pixels from the origin.
  • The lines of the cross have width 1 if the corresponding dimension is odd and width 2 otherwise.
  • For integer r, CrossMatrix[r] yields a (2r+1)×(2r+1) matrix.

Examples

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Basic Examples  (1)

This computes and plots a cross matrix:

Scope  (5)

Create a rectangular cross matrix:

Specify the matrix size:

Extend the cross to the boundaries of the matrix:

Automatically choose an odd width to just fit the cross:

Extend the cross to the given width and automatically choose the height:

Neat Examples  (1)

Wolfram Research (2008), CrossMatrix, Wolfram Language function, https://reference.wolfram.com/language/ref/CrossMatrix.html.

Text

Wolfram Research (2008), CrossMatrix, Wolfram Language function, https://reference.wolfram.com/language/ref/CrossMatrix.html.

CMS

Wolfram Language. 2008. "CrossMatrix." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CrossMatrix.html.

APA

Wolfram Language. (2008). CrossMatrix. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CrossMatrix.html

BibTeX

@misc{reference.wolfram_2024_crossmatrix, author="Wolfram Research", title="{CrossMatrix}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/CrossMatrix.html}", note=[Accessed: 21-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_crossmatrix, organization={Wolfram Research}, title={CrossMatrix}, year={2008}, url={https://reference.wolfram.com/language/ref/CrossMatrix.html}, note=[Accessed: 21-December-2024 ]}