Meaning of hyperellipse | Babel Free

Definitions

1. A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
2. Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).
3. A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.

Examples

“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.”

“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).”

CEFR level