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- superellipsoid (plural superellipsoids) (algebra, geometry) A closed surface, of which the sphere and ellipsoid are special cases, whose parametric equation is x = a.cos 2/r t, y = b.cos 2/r t, z = c.cos 2/r t.
en.wiktionary.org/wiki/superellipsoid - People also ask
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See all on WikipediaIn mathematics, a superellipsoid (or super-ellipsoid) is a solid whose horizontal sections are superellipses (Lamé curves) with the same squareness parameter $${\displaystyle \epsilon _{2}}$$, and whose vertical sections through the center are superellipses with the squareness parameter See more
A handful of notable mathematical figures can arise as special cases of superellipsoids given the correct set of values, which are depicted in the above graphic:
• See moreBasic (normalized) superellipsoid
The basic superellipsoid is defined by the implicit function See more• Barr, "Superquadrics and Angle-Preserving Transformations," in IEEE Computer Graphics and Applications, vol. 1, no. 1, pp. 11–23, Jan. 1981, doi: 10.1109/MCG.1981.1673799.
• Aleš Jaklič, Aleš Leonardis, Franc Solina, Segmentation and … See moreRecoverying the superellipsoid (or superquadrics) representation from raw data (e.g., point cloud, mesh, images, and voxels) is an … See more
Wikipedia text under CC-BY-SA license WEBMay 15, 2024 · The superellipsoid is a generalization of the ellipsoid by allowing different exponents of the variables in the algebraic representation. It is similarly a generalization …
WEBThe generalization to a three-dimensional surface is known as a superellipsoid. Superellipses with are also known as Lamé curves or Lamé ovals, and the case with is …
WEBAn ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation . An ellipsoid is a …
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The super egg and other super surfaces - Harvard University
WEBA super ellipsoid is a surface with super ellipses as traces. It is defined implicitly as. (|x|^e + |y|^e)^f/e + |z|^f = 1 . It becomes the usual ellipsoid for e=f=2. You see that the x-trace as …
WEBVarious Lamé curves. Those with n greater than 2 are known as superellipses. Figure 2. A superegg in the form of a steel 'executive toy'. A superellipse is a Lamé curve, described …
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WEBNov 1, 2016 · In this paper, we generalize the concept of super ellipsoid that was proposed by the French mathematician and mechanician Gabriel Lamé in 1818. Super ellipsoid …
WEBSuperellipsoid. Shapes. Copying... Vary the parameters to see many generalizations of ellipsoids. Use the mouse to rotate the surface in 3D.
Packing properties of superballs and superellipsoids
WEBSuperellipsoid packings. We employ a dynamic particle expansion technique, with the final density and the resulting structural properties of the packings being dependant on the …
Superellipsoid - Polytope Wiki
WEBA superellipsoid is a surface defined as the set of points in 3D space such that where , or any scaling (possibly nonuniform) of such a surface. "Superellipsoid" refers to both the …
Superellipsoid - Maple Help - Maplesoft
WEBSuperellipsoid Main Concept A superellipsoid is a 3-dimensional solid whose horizontal cross-sections are superellipses with the same exponent r , and whose vertical cross …
superellipsoid - Wiktionary, the free dictionary
WEBsuperellipsoid (plural superellipsoids) ( algebra, geometry) A closed surface, of which the sphere and ellipsoid are special cases, whose parametric equation is x = a.cos 2/r t, y = …
POV-Ray: Documentation: 2.4.1.11 Superquadric Ellipsoid
WEB2.4.1.12 Surface of Revolution. 2.4.1.11 Superquadric Ellipsoid. The superellipsoid object creates a shape known as a superquadric ellipsoid object. It is an extension of the …
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OpenGL SuperEllipsoid - UEA
WEBOpenGL Superellipsoid. The superellipsoid is a versatile primitive that is controlled by two parameters. As special cases it can represent a sphere, square box, and closed …
Superellipsoid vs Superellipse - What's the difference? | WikiDiff
WEBAs nouns the difference between superellipsoid and superellipse is that superellipsoid is (algebra|geometry) a closed surface, of which the sphere and ellipsoid are special …
Superquadrics - Wikipedia
WEBIn mathematics, the superquadrics or super-quadrics (also superquadratics) are a family of geometric shapes defined by formulas that resemble those of ellipsoids and other …
Reference:Superquadric Ellipsoid - POV-Wiki
WEBSUPERELLIPSOID: superellipsoid { <Value_E, Value_N> [OBJECT_MODIFIERS...] } The 2-D vector specifies the e and . n values in the equation above. The object sits at the …
Super Ellipsoid — Sverchok 1, 2, 0 documentation - GitHub Pages
WEBSuper Ellipsoid. This node creates various super ellipsoid (3D) shapes based on the super-ellipsoid formula. Reference: https://en.wikipedia.org/wiki/Superellipsoid.
Superelliptic curve - Wikipedia
WEBIn mathematics, a superelliptic curve is an algebraic curve defined by an equation of the form. where is an integer and f is a polynomial of degree with coefficients in a field ; …
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