Function Repository Resource:

RotatedEllipseMatrix

Create a binary matrix with a rotated, ellipse-shaped region of 1s

Contributed by: Štěpán Venos

ResourceFunction["RotatedEllipseMatrix"][{a,b},{m,n}]

gives an m×n matrix whose elements are 1 in a centered, ellipse-shaped region of axis lengths a and b, and are otherwise 0.

ResourceFunction["RotatedEllipseMatrix"][{a,b},{m,n},θ]

gives an ellipse-shaped region rotated by θ radians.

ResourceFunction["RotatedEllipseMatrix"][{a,b},{m,n},θ,{x₀,y₀}]

gives an ellipse-shaped region rotated by θ radians and with center {x₀,y₀}.

Details and Options

The equation of a rotated ellipse region is

Generate an array plot of an ellipse matrix:

In[1]:=

Out[1]=

Generate an array plot of an off-centered ellipse matrix:

In[2]:=

Out[2]=