sknano.core.geometric_regions.Ellipse.contains¶
-
Ellipse.
contains
(point)[source][source]¶ Test region membership of point in
Ellipse
.Parameters: point : array_like
Returns: True if point is within
Ellipse
, False otherwiseNotes
A point \((p_x, p_y)\) is within the bounded region of an ellipse with center \((c_x, c_y)\) and semi-axes lengths \(r_x, r_y\) if the following is true:
\[\left(\frac{p_x - c_x}{r_x}\right)^2 + \left(\frac{p_y - c_y}{r_y}\right)^2\le 1\]