hyperellipse

A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.

The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively.

Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).

A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.

This algorithm extends the model of RNS by incorporating multiple hypershape (hypersphere, hyperrectangle, or hyperellipse) detector representation in the unit hypercube [0, 1]ⁿ (Balachandran et al., 2007).