hyperellipse

noun

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

The hyperellipse is defined by (/)</sup>&nbsp;+&nbsp;(/)</sup>&nbsp;=&nbsp;1 with &nbsp;≤&nbsp;, where is the shape parameter and and are the axes along the and axes, respectively.

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

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