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Gaussian-curvature-derived invariants for isometry
Science China Information Sciences, 2012Surface deformations without tearing or stretching, preserving the intrinsic properties, are called isometries. This paper presents a new definition of Gaussian curvature moments (GCMs) by the integral of n power of Gaussian curvature. Then a series of moment invariants, called Gaussian curvature moment invariants (GCMIs), are derived via GCMs.
Weiguo Cao +4 more
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Gaussian and mean curvatures of rational maps
Computer Aided Geometric Design, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Gaussian and Geodesic Curvature of Riemannian Manifolds
Canadian Journal of Mathematics, 1974In [1], S. S. Chern gave a very elegant and simple proof of the Gauss-Bonnet formula for closed (i.e. compact without boundary) oriented Riemannian manifolds of even dimension:Here, c is a suitable constant depending on the dimension of M and Ω is an n-form (n = dim M) which may be calculated from its curvature tensor. W.
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Gaussian Curvature and Local Embedding
American Journal of Mathematics, 1951Hartman, Philip, Wintner, Aurel
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Gaussian Curvature and the Gauss Map
2001We shall now introduce two new measures of the curvature of a surface, called its gaussian and mean curvatures. Although these together contain the same information as the two principal curvatures, they turn out to have greater geometrical significance.
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On the Gaussian curvature of the indicatrix of a Lagrange space
1991Let \(R^n\) be an \(n\)-dimensional Euclidean space and \((R^n,L)\) a Lagrange space with \(L\) a smooth function in the tangent bundle of \(R^n\) satisfying a certain regularity condition. For \(L=F^2\) with \(F\) homogeneous of degree one we have a Finsler space.
NISHIMURA, Shin-ichi, HASHIGUCHI, Masao
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Skull Curvature Quantification Using Gaussian Curvature
2025 59th Asilomar Conference on Signals, Systems, and ComputersSamarth Singh +2 more
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Gaussian curvature of noncompact two-dimensional manifolds of bounded curvature
Mathematical Notes of the Academy of Sciences of the USSR, 1967Verner, A. L., Frangulov, S. A.
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On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design, 2000D S Meek, D J Walton
exaly