Results 11 to 20 of about 726 (137)
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
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SpharaPy: A Python toolbox for spatial harmonic analysis of non-uniformly sampled data
SoftwareX, 2019 SpharaPy is a Python implementation of a new approach for spatial harmonic analysis (SPHARA). SPHARA extends the classical spatial Fourier analysis to non-uniformly positioned samples on arbitrary surfaces in R3.
Uwe Graichen +2 more
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Journal of Mathematics, 2021 In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh +3 more
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Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics
Axioms, 2014 A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
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A Hypersurfaces of Revolution Family in the Five-Dimensional Pseudo-Euclidean Space
Mathematics, 2023 We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed.
Yanlin Li, Erhan Güler
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On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
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Topology-controlled Laplace–Beltrami operator on point clouds based on persistent homology
Graphical ModelsComputing the Laplace–Beltrami operator on point clouds is essential for tasks such as smoothing and shape analysis. Unlike meshes, determining the Laplace–Beltrami operator on point clouds requires establishing neighbors for each point.
Ao Zhang +3 more
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Some Remarks on Harmonic Projection Operators on Spheres
Bruno Pini Mathematical Analysis Seminar, 2016 We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex and quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a
Valentina Casarino
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Қарағанды университетінің хабаршысы. Математика сериясыThe Laplace-Beltrami operator is studied on a stratified set consisting of two punctured circles and an interval. A complete description of all well-posed boundary value problems for the Laplace-Beltrami operator on such a set is given.
B.E. Kanguzhin +2 more
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One Can Hear the Area of a Torus by Hearing the Eigenvalues of the Polyharmonic Operators
Demonstratio Mathematica, 2014 This paper considers the asymptotic properties for the spectrum of a positive integer power l of the Laplace-Beltrami operator acting on an n-dimensional torus T.
Guo Shunzi, Jin Jinyun
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