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Let us consider two closed surfaces $ℳ$ , $𝒩$ of class $C^{1}$ and two functions $ϕ : ℳ \to ℝ$ , $ψ : 𝒩 \to ℝ$ of class $C^{1}$ , called measuring functions. The natural pseudodistance $d$ between the pairs $(ℳ,)$ , $(𝒩, ψ)$ is defined as the infimum of $Θ (f) : = {max}_{P \in ℳ} | ϕ (P) - ψ (f (P)) |$ as $f$ varies in the set of all homeomorphisms from $ℳ$ onto $𝒩$ . In this paper we prove that the natural pseudodistance equals either $| c_{1} - c_{2} |$ , $\frac{1}{2} | c_{1} - c_{2} |$ , or $\frac{1}{3} | c_{1} - c_{2} |$ , where $c_{1}$ and $c_{2}$ are two suitable critical values of the measuring functions. This shows that a previous relation between the natural pseudodistance and critical values...

Natürlich-kinematische Erzeugung isophotischer Elementscharen aus ebensolchen bei klassischer geometrischer Zentralbeleuchtung

G. GEISE, H. Martini (1985)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Nejsymetričtější variety

Oldřich Kowalski, Michal Křížek, Vojtěch Pravda (2014)

Pokroky matematiky, fyziky a astronomie

Neue Erzeugungen der Minmalflächen von G. Thomsen.

Hermann Schaal (1973)

Monatshefte für Mathematik

New efficient numerical method for 3D point cloud surface reconstruction by using level set methods

Kósa, Balázs, Haličková-Brehovská, Jana, Mikula, Karol (2017)

Proceedings of Equadiff 14

In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency is...

Non Existence and Existence of Capillary Surfaces.

Robert Finn, Enrico Giusti (1979)

Manuscripta mathematica

Non-degenerate quadric surfaces of Weingarten type

Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan (2013)

Annales Polonici Mathematici

We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and classify them in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature.

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Mémoire sur la théorie des coordonnées curvilignes, et des systèmes orthogonaux

Mémoire sur la théorie des coordonnées curvilignes, et des systèmes orthogonaux

Minimal tensor product immersions.

Minimizing the squared mean curvature integral for surfaces in space forms.

Natural pseudodistances between closed surfaces

Natürlich-kinematische Erzeugung isophotischer Elementscharen aus ebensolchen bei klassischer geometrischer Zentralbeleuchtung

Nejsymetričtější variety

Neue Erzeugungen der Minmalflächen von G. Thomsen.

New efficient numerical method for 3D point cloud surface reconstruction by using level set methods

Non Existence and Existence of Capillary Surfaces.

Non-degenerate quadric surfaces of Weingarten type

Note sur la détermination des asymptotes dans les intersections des surfaces du second degré

Note sur la transformation des courbes par rayons vecteurs réciproques

Note sur le contact géométrique des courbes et des surfaces.

Note sur une méthode de transformation des surfaces

Note sur une propriété de la lemniscate.

Notiz über die algebraische Parameterdarstellung der Schnittcurve zweier Flächen 2ter Ordnung.

Notiz über die Normalen einer Fläche des zweiten Grades.

Nová metoda projektivní geometrie zborcených ploch

O differenciálních rovnicích ploch obalujících

Currently displaying 141 – 160 of 436