Hyperellipse
Definition, Meaning & Examples
Part of speech noun
Quick meaning: Hyperellipse is a noun meaning (geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
Meaning
(geometry) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.
More Meanings
- (geometry) Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).
- (geometry) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.
Example Sentences
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).
Word Forms
- hyperellipses
Related Words
Related dictionary entries include superellipse, hyperellipsoid, supercircle, ellipse, hyperbola, ellipsis.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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