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Examples ofprincipal curvature

Dictionary> Examples ofprincipal curvature

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The direction of the bisector of the straight lines indicates the zeroprincipalcurvaturedirection.

From theCambridge English Corpus

The transformation can be viewed as locally rotating theprincipalcurvaturedirections.

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If one bends a slice horizontally along a radius, non-zero principal curvatures are created along the bend, dictating that the otherprincipalcurvatureat these points must be zero.

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Points where the principal curvatures have the same sign, like a small fragment of an eggshell, are called synclastic points.

From theCambridge English Corpus

As only the first step of this algorithm is used which is to calculate theprincipalcurvatureimages, the principal curvature is adopted as the name of this detector.

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Wikipedia

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This figure implies a monoclastic geometry for the folded surface, that is, the case where one of the principal curvatures equals zero and ratio of the principal curvatures is infinite.

From theCambridge English Corpus

Although the curvature properties of all points on all surfaces obey equation (1), three classes of points can be distinguished on the basis of the signs of the principal curvatures.

From theCambridge English Corpus

Mathematically, these two curvatures are called the principal curvatures, c1 and c2, and their meaning can be understood by the following thought experiment.

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Wikipedia

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The eigenvalues of the second fundamental form, represented in an orthonormal basis, are the principal curvatures of the surface.

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At such points the normal curvature in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a "principal direction".

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Actually, any isoparametric submanifold is foliated by the holonomy tubes of a submanifold with constant principal curvatures i.e. a focal submanifold.

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The eigenvalues correspond to the principal curvatures of the surface and the eigenvectors are the corresponding principal directions.

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Together with the first fundamental form, it serves to define extrinsic invariants of the surface, its principal curvatures.

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The principal curvatures are the invariants of the pair consisting of the second and first fundamental forms.

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This example is from Wikipedia and may be reused under a CC BY-SA license.

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

单词	principal curvature
释义	BETA Examples ofprincipal curvature Dictionary> Examples ofprincipal curvature principal curvatureisn’t in the Cambridge Dictionary yet. You can help! Add a definition The direction of the bisector of the straight lines indicates the zeroprincipalcurvaturedirection. From theCambridge English Corpus The transformation can be viewed as locally rotating theprincipalcurvaturedirections. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If one bends a slice horizontally along a radius, non-zero principal curvatures are created along the bend, dictating that the otherprincipalcurvatureat these points must be zero. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Points where the principal curvatures have the same sign, like a small fragment of an eggshell, are called synclastic points. From theCambridge English Corpus As only the first step of this algorithm is used which is to calculate theprincipalcurvatureimages, the principal curvature is adopted as the name of this detector. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This figure implies a monoclastic geometry for the folded surface, that is, the case where one of the principal curvatures equals zero and ratio of the principal curvatures is infinite. From theCambridge English Corpus Although the curvature properties of all points on all surfaces obey equation (1), three classes of points can be distinguished on the basis of the signs of the principal curvatures. From theCambridge English Corpus Mathematically, these two curvatures are called the principal curvatures, c1 and c2, and their meaning can be understood by the following thought experiment. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The eigenvalues of the second fundamental form, represented in an orthonormal basis, are the principal curvatures of the surface. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. At such points the normal curvature in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a "principal direction". From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Actually, any isoparametric submanifold is foliated by the holonomy tubes of a submanifold with constant principal curvatures i.e. a focal submanifold. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The eigenvalues correspond to the principal curvatures of the surface and the eigenvectors are the corresponding principal directions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Together with the first fundamental form, it serves to define extrinsic invariants of the surface, its principal curvatures. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The principal curvatures are the invariants of the pair consisting of the second and first fundamental forms. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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