Results 31 to 40 of about 1,504 (198)
Statistical shape modeling of the human inner ear through micro‐computed tomography imaging
The Anatomical Record, EarlyView.In this study, 54 cadaveric temporal bone specimens underwent high‐resolution micro‐CT imaging. Images were semi‐automatically segmented and converted to 3D surface mesh models for morphological measurement and analysis. Statistical shape models were created for the inner ear, cochlea, and vestibular system, as well as for sex‐ and side‐based subgroups.
Carmine Spedaliere +8 more
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Codimension two isometric immersions between Euclidean spaces [PDF]
Pacific Journal of Mathematics, 1985 Let \(E^ n\) be the flat Euclidean n-space with \(C^{\infty}\)- differentiability everywhere. \textit{P. Hartman} showed that any isometric immersion \(f: E^ n\to E^{n+2}\), \(n>1\), may be decomposed as a Riemannian product \(f=g\times id: E^ 2\times E^{n-2}\to E^ 4\times E^{n-2}\) [Trans. Am. Math. Soc. 147, 529-540 (1970; Zbl 0194.227)]. The present
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The Anatomical Record, EarlyView.Abstract Neandertals are known to possess very distinctive traits in their bony labyrinth morphology, such as an inferiorly positioned posterior canal and a very low number of turns in the cochlea. Hence, the inner ear has been often used to assess the Neandertal status of fragmentary fossils.
Alessandro Urciuoli +6 more
wiley +1 more source
ISOMETRIC IMMERSIONS IN 3-DIMENSIONAL EUCLIDEAN SPACE
Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, 2021 In this paper, we examine the image of geodesic curves of Riemann 2-manifolds under the isometric immersions, in three dimensional Euclidean space. We show that the curvature of these curves is equal to the normal curvature of the manifold in the direction of tangent vector field of the geodesics.
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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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ON SOME APPLICATIONS OF ISOMETRICITY OF FUNCTIONAL SPACES IN APPLIED MATHEMATICS
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 Problems of computational mathematics are directly connected with an implementation of mathematical models in conditions of limited initial information.
Д.М. Бушев
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Archaeological Prospection, EarlyView.ABSTRACT Burial mounds are key elements of Mediterranean funerary landscapes, but in intensively cultivated coastal plains their low‐relief expression is easily obscured by ploughing, levelling and rapidly changing surface conditions, making single‐date observations unreliable.
Salvatore Polverino +2 more
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric
پژوهشهای ریاضی, 2020 Introduction An -dimensional Riemannian manifold is said to be flat (or locally Euclidean) if locally isometric with the Euclidean space, that is, admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi +1 more
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Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces
Axioms, 2013 We introduce and study Clarkson, Dol’nikov-Pichugov, Jacobi and mutual diameter constants reflecting the geometry of a Banach space and Clarkson, Jacobi and Pichugov classes of Banach spaces and their relations with James, self-Jung, Kottman and Schäffer
Sergey Ajiev
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