- In mathematics, a
superellipsoid (or super-ellipsoid) is a
solid whose horizontal sections are
superellipses (Lamé curves) with the same
squareness parameter...
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superellipse while adapting it to
different contexts and applications. A
superellipsoid extends the
superellipse into
three dimensions,
creating shapes that...
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including both the
superellipsoids and the supertoroids. In
modern computer vision literatures,
superquadrics and
superellipsoids are used interchangeably...
- circles, ellipses, squares, superellipses, spheres, tetrahedrons,
superellipsoids, etc.
Irregular three-dimensional
surfaces and solids, are usually...
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exponent greater than 2
around its
longest axis. It is a
special case of
superellipsoid.
Unlike an
elongated ellipsoid, an
elongated superegg can
stand upright...
- {z}{c}}\right)^{2}=1.\,\!} The semi-diameters of a superellipse,
superellipsoid, or
superquadric can be
identified in the same way.
Flattening Semi-major...
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smallest ellipsoid containing a
given convex set. List of
surfaces Superellipsoid Kreyszig (1972, pp. 455–456) F.W.J. Olver, D.W. Lozier, R.F. Boisvert...
- axes-aligned edges, and the
boundaries of
balls for Lp with p > 2 are
superellipsoids. p = 2
generates the
inner of
usual spheres.
Often can also consider...
-
Method for
Light Scattering Com****tions by Non-axisymmetric Particles:
Superellipsoids and
Realistically Shaped Particles".
Particle &
Particle Systems Characterization...
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square bifrustum. The
octahedron can be
generated as the case of a 3D
superellipsoid with all
exponent values set to 1.
Octahedral number Centered octahedral...
