Relevant bibliographies by topics / Minimal surface

Academic literature on the topic 'Minimal surface'

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Published: 4 June 2021
Last updated: 25 January 2023

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Journal articles on the topic "Minimal surface"

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Stievenart, J. L., M. T. Iba-Zizen, A. Tourbah, A. Lopez, M. Thibierge, A. Abanou, and E. A. Cabanis. "Minimal Surface." Brain Research Bulletin 44, no. 2 (1997): 117–24. http://dx.doi.org/10.1016/s0361-9230(97)00113-5.

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Kungching, Chang, and James Eells. "Unstable minimal surface coboundaries." Acta Mathematica Sinica 2, no. 3 (September 1986): 233–47. http://dx.doi.org/10.1007/bf02582026.

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Hao, Yong-Xia, Ren-Hong Wang, and Chong-Jun Li. "Minimal quasi-Bézier surface." Applied Mathematical Modelling 36, no. 12 (December 2012): 5751–57. http://dx.doi.org/10.1016/j.apm.2012.01.040.

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Fang, Yi, and Jenn-Fang Hwang. "When is a minimal surface a minimal graph?" Pacific Journal of Mathematics 207, no. 2 (December 1, 2002): 359–76. http://dx.doi.org/10.2140/pjm.2002.207.359.

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Velimirovic, Ljubica, Grozdana Radivojevic, Mica Stankovic, and Dragan Kostic. "Minimal surfaces for architectural constructions." Facta universitatis - series: Architecture and Civil Engineering 6, no. 1 (2008): 89–96. http://dx.doi.org/10.2298/fuace0801089v.

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Minimal surfaces are the surfaces of the smallest area spanned by a given boundary. The equivalent is the definition that it is the surface of vanishing mean curvature. Minimal surface theory is rapidly developed at recent time. Many new examples are constructed and old altered. Minimal area property makes this surface suitable for application in architecture. The main reasons for application are: weight and amount of material are reduced on minimum. Famous architects like Otto Frei created this new trend in architecture. In recent years it becomes possible to enlarge the family of minimal surfaces by constructing new surfaces.
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Hoffman, David, and William H. Meeks. "Limits of minimal surfaces and Scherk's Fifth Surface." Archive for Rational Mechanics and Analysis 111, no. 2 (June 1990): 181–95. http://dx.doi.org/10.1007/bf00375407.

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Yamashita, Shinji. "Local minima of the Gauss curvature of a minimal surface." Bulletin of the Australian Mathematical Society 44, no. 3 (December 1991): 397–404. http://dx.doi.org/10.1017/s0004972700029907.

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Let D be a domain in the complex ω-plane and let x: D → R3 be a regular minimal surface. Let M(K) be the set of points ω0 ∈ D where the Gauss curvature K attains local minima: K(ω0) ≤ K(ω) for |ω – ω0| < δ(ω0), δ(ω0) < 0. The components of M(K) are of three types: isolated points; simple analytic arcs terminating nowhere in D; analytic Jordan curves in D. Components of the third type are related to the Gauss map.
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Morabito, Filippo. "Periodic minimal surfaces embedded in ℝ3 derived from the singly periodic Scherk minimal surface." Communications in Contemporary Mathematics 22, no. 01 (December 11, 2018): 1850075. http://dx.doi.org/10.1142/s021919971850075x.

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We construct three kinds of periodic minimal surfaces embedded in [Formula: see text] We show the existence of a [Formula: see text]-parameter family of minimal surfaces invariant under the action of a translation by [Formula: see text] which seen from a distance look like [Formula: see text] equidistant parallel planes intersecting orthogonally [Formula: see text] equidistant parallel planes, [Formula: see text] [Formula: see text] We also consider the case where the surfaces are asymptotic to [Formula: see text] equidistant parallel planes intersecting orthogonally infinitely many equidistant parallel planes. In this case, the minimal surfaces are doubly periodic, precisely they are invariant under the action of two orthogonal translations. Last we construct triply periodic minimal surfaces which are invariant under the action of three orthogonal translations in the case of two stacks of infinitely many equidistant parallel planes which intersect orthogonally.
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Fouladgar, K., and Leon Simon. "The symmetric minimal surface equation." Indiana University Mathematics Journal 69, no. 1 (2020): 331–66. http://dx.doi.org/10.1512/iumj.2020.69.8412.

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Zou, Du, and Ge Xiong. "The minimal Orlicz surface area." Advances in Applied Mathematics 61 (October 2014): 25–45. http://dx.doi.org/10.1016/j.aam.2014.08.006.

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Dissertations / Theses on the topic "Minimal surface"

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Dalpé, Denis. "Schwarz's surface and the theory of minimal surfaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0023/MQ39958.pdf.

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Hao, Shuai. "An Introduction to Discrete Minimal Surfaces via the Enneper Surface." Thesis, Southern Illinois University at Edwardsville, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=1543912.

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In this paper, we are exploring how to construct a discrete minimal surface. We map the conformal curvature lines of a parameterized continuous minimal surface to a unit sphere by the Gauss map. Then, based on a circle patterns we create, the Koebe polyhedron can be obtained. By dualizing the Koebe polyhedron, we are able to get the discrete minimal surface. Moreover, instead of only developing the method theoretically, we also show concrete procedures visually by Mathematica for Enneper with arbitrary domain. This is an expository project mainly based on the paper "Minimal surface from circle patterns: geometry from combinatorics" by Alexander I. Bobenko, Tim Hoffmann and Boris A. Springborn.

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Zolotareva, Tatiana. "Construction de surfaces à courbure moyenne constante et surfaces minimales par des méthodes perturbatives." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX003/document.

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Cette thèse s'inscrit dans l'étude des sous-variétés minimales et à courbure moyenne constante et de l'influence de la géométrie de la variété ambiante sur les solutions de ce problème.Dans le premier chapitre, en suivant les idées de F. Almgren, on propose une généralisation de la notion d'hypersurface de courbure moyenne constante à toutes codimensions. En dimension n-k on définie les sous-variétés à courbure moyenne constante comme les points critiques de la fonctionnelle de k-volume des bords des variétés minimales de dimension k+1. On prouve l'existence dans une variété riemannienne compacte de dimension n de sous-variétés à courbure moyenne constante de codimension n-k pour tout k < n qui sont des perturbations des sphères géodésiques de petit volume.Dans le deuxième chapitre, on s'intéresse aux surfaces minimales à bords libres dans la boule unité de l'espace euclidien de dimension 3, c'est-à-dire aux surfaces minimales plongées dans la boule unité dont le bord rencontre la sphère unité orthogonalement. On démontre l'existence de deux famille géométriquement distinctes de telles surfaces qui sont indexées par un entier n assez grand, qui représente le nombre de composantes connexes du bord de ces surfaces. Nous donnons en particulier une deuxième preuve d'un résultat de A. Fraser et R. Schoen concernant l'existence de telles surfaces.Un des résultats fondamentaux de la théorie des surfaces à courbure moyenne constante est le théorème de Hopf qui affirme que les seules sphères topologiques à courbure moyenne constante dans l'espace euclidien de dimension 3 sont les sphères rondes. Dans le troisième chapitre, on propose une construction dans une variété riemannienne de dimension 3 d'une famille de sphères topologiques à courbure moyenne constante qui ne sont pas convexes et dont la courbure moyenne est très grande
The subject of this thesis is the study of minimal and constant mean curvature submanifolds and of the influence of the geometry of the ambient manifold on the solutions of this problem.In the first chapter, following the ideas of F. Almgren, we propose a generalization of the notion of hypersurface with constant mean curvature to all codimensions. In codimension n-k we define constant mean curvature submanifolds as the critical points of the functional of the k - dimensional volume of the boundaries of k+1 - dimensional minimal submanifolds. We prove the existence in compact n-dimensional manifolds of n-k codimensional submanifolds with constant mean curvature for all k
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Aman, Ronald L. "A Minimal Surface Perturbation Method for Global Surface Registration of Unstructured Point Cloud Data." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-04192004-145303/.

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This thesis presents a minimal surface perturbation method for the surface registration of unstructured point cloud data. The registration problem is applicable to many disciplines. Computer vision (stereo vision), computer graphics, image processing, and reverse engineering and quality inspection are examples of areas currently implementing surface registration techniques. The surface registration problem is defined as: Given the unstructured point cloud data sets, find the rotation and translation of one data set such that the two sets are properly aligned in a single coordinate frame. Current techniques fail to find global alignment in instances where the initial starting points are not favorable. In this paper, the proposed method generates a ?geometric handler? to approximate the unstructured data sets using a small number of points capturing the global shape of the data while reducing local variations or features. An iterative searching method is proposed to minimize both the surface perturbation of point cloud data and the orientation variation by using a self-organizing neural network. The transformation of the geometric handlers is found using orientation invariant methods and is applied to the original point cloud. Once the global registration is accomplished, a local registration method is invoked requiring a search in local neighborhoods only. The proposed method can be used for the global surface registration of overlapped unstructured point cloud data sets. The presented techniques can be used in reverse engineering and CAD/CAM systems for product development and surface generation from scanned data.
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Krust, Romain. "Le problème de Dirichlet pour l' équation des surfaces minimales." Paris 7, 2005. http://www.theses.fr/1992PA077323.

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Coutant, Antoine. "Déformation et construction de surfaces minimales." Phd thesis, Université Paris-Est, 2012. http://tel.archives-ouvertes.fr/tel-00802379.

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L'objet de cette thèse consiste en la construction de nouveaux exemples de surfaces (ou hypersurfaces) minimales dans les espaces euclidiens R^3, R^n x R avec n>2 ou dans l'espace homogène S^2 x R. Nous prouvons l'existence de surfaces minimales dans R^3 arbitrairement proches d'un polygone convexe. Nous prouvons également l'existence d'hypersurfaces minimales de type Riemann dans R^n x R, n>2. Celles-ci peuvent être interprétées comme étant une famille d'hyperplans horizontaux (des bouts) reliés les uns aux autres par des morceaux de caténoïdes déformés (des cous). Nous donnons un résultat général pour ce type d'objet quand il est périodique ou bien quand il a un nombre fini de bouts horizontaux. Cela se fait sous certaines hypothèses de contraintes sur les forces intervenant dans la construction. Nous finissons en donnant plusieurs exemples, notamment l'existence d'une hypersurface de type Wei verticale qui n'existe pas en dimension 3. Nous donnons aussi la preuve de l'existence d'une surface minimale de type Riemann dans S^2 x R telle que deux bouts sphériques sont reliés entre eux alternativement par 1 cou et 2 cous. Là aussi, nous mettons en évidence le rôle joué par les forces lors de la construction. De même que dans le chapitre précédent, la méthode repose sur un processus de recollement. Nous donnons une description très précise de la caténoïde et la surface de Riemann dans S^2 x R. Enfin, nous établissons l'existence dans R^n x R d'hypersurfaces de type Scherk lorsque n>2
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Makki, Ali. "Morphismes harmoniques et déformation de surfaces minimales dans des variétés de dimension 4." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4013/document.

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Dans cette thèse, nous étudions la structure d’un morphisme harmonique F d’une variété riemannienne M4 dans une surface N2 au voisinage d’un point critique mO. Si mO est un point I critique isolé ou si M4 est compact sans bord, nous montrons que F est pseudo-Holomorphe par rapport à une structure presque hermitienne definie dans un voisinage de mO. Si M4 est compact sans bord, les fibres singuliers de F sont des surfaces minimales avec points de branchement. Ensuite, nous étudions des exemples de morphismes harmoniques due a Burel de (S4, gk,l) dans S2 où (gk,I) est une famille de métriques conforme à la métrique canonique. Nous construisons tout d’abord une application semi-Conforme Φk,l de S4 dans S2 en composant deux applications semi-Conformes régulières, F de S4 dans S3 et Φk,i, de S3 dans S2. II résulte de Baird-Eells que le fibres régulier de øk,l pour tout k, I sont minimales. Si [k] = [l] = 1, l’ensemble des points critiques est donnée par l’image réciproque du pâle nord: il consiste en deux 2-Sphères ayant deux points d’intersection. Si k, I 6= 1 l’ensemble des points critiques sont les images réciproques du pôle nord (de la même façon que pour k = t = 1 deux sphères, mais avec une multiplicité I) ainsi que la pré-Image du pôle sud (un tore) avec multiplicité k. Enfin, nous étudions une construction due à Baird-Ou de morphismes harmoniques d’une ensembles ouverts de (S2×S2, can) dans S2. Nous vérifions qu’ils sont holomorphe par rapport à une des quatre structures complexes canoniques hermitiennes
In this thesis, we are interested in harmonic morphisms between Riemannian manifolds (Mm, g) and (Nn, h) for m > n. Such a smooth map is a harmonic morphism if it pulls back local harmonic functions to local harmonic functions: if ƒ : V → ℝ is a harmonic function on an open subset V on N and Φ-1(V) is non-Empty, then the composition ƒ ∘ Φ : Φ-1(V) → ℝ is harmonic. The conformal transformations of the complex plane are harmonic morphisms. In the late 1970's Fuglede and Ishihara published two papers ([Fu]) and ([Is]), where they discuss their results on harmonic morphisms or mappings preserving harmonic functions. They characterize non-Constant harmonic morphisms F : (M,g) → (N,h) between Riemannian manifolds as those harmonic maps, which are horizontally conformal, where F horizontally conformal means : for any x ∈ M with dF(x) ≠ 0, the restriction of dF(x) to the orthogonal complement of kerdF(x) in TxM is conformal and surjective. This means that we are dealing with a special class of harmonic maps
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Robakiewicz, Stefania. "Minimal structural glyco-epitope for antibody recognition." Thesis, Lille 1, 2020. http://www.theses.fr/2020LIL1S101.

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L'importance biologique de la glycosylation pour la santé et la maladie est largement reconnue. Les structures tronquées à terminaison mannose consistant en 1 à 3 résidus de mannose, deux N-acétylglucosamines et un nombre variable de fragments fucose sont appelées paucimannose. Les N-glycanes paucimannosidiques sont abondamment exprimés dans les plantes et les invertébrés. Cependant, chez les vertébrés, leur présence est limitée à certaines conditions pathophysiologiques, telles que le cancer, les troubles immunitaires, les infections et l'inflammation, et chez les individus en bonne santé, ils ne sont détectables qu'en quantités infimes. Il a été démontré que le Mannitou, un anticorps monoclonal murin, reconnaît spécifiquement les glycoépitopes de paucimannose.Une tentative de caractérisation de la structure de Mannitou IgM a été faite en appliquant des techniques de modélisation d'homologie, de microscopie cryoélectronique et de cristallisation. L'anticorps complet de Mannitou a été généré en utilisant la technologie des hybridomes. Le Fab recombinant de Mannitou a été exprimé avec succès de manière transitoire dans des cellules HEK293T. La spécificité de liaison de Mannitou envers différents N-glycanes de paucimannose ont été élucidées par une combinaison de méthodes expérimentales. Le criblage par microréseau a révélé que le glyco-épitope minimal était Man2GlcNAc2. À son tour, Man3GlcNAc2 a manifesté l'une des interactions les plus fortes avec l'anticorps Mannitou. Des études de reconnaissance moléculaire, utilisant des mesures de résonance plasmonique de surface et une calorimétrie de titrage isotherme, ont établi une affinité de liaison micromolaire de l'anticorps Mannitou envers le glycane Man3GlcNAc2. La cartographie de l'épitope de liaison par résonance magnétique nucléaire de transfert de saturation a démontré que Manα1-3 est le principal résidu impliqué dans la reconnaissance des anticorps de Mannitou. La régulation positive des N-glycanes paucimannosidiques dans des conditions physiopathologiques fait de l'anticorps Mannitou un outil diagnostique et thérapeutique prometteur.Pour déterminer la structure minimale des glycanes requise pour mimer l'activité antigénique du polysaccharide MenX natif, des études de résonance plasmonique de surface ont été réalisées. Les expériences ont consisté à étudier les interactions de liaison entre un anticorps anti-MenX et des oligosaccharides capsulaires du sérogroupe X de Neisseria meningitides de différentes longueurs. Les résultats suggèrent que la portion minimale de saccharide capable d'assurer une protection contre les infections à MenX pourrait être DP5, ce qui en fait un candidat prometteur pour le développement de vaccins
The biological importance of glycosylation in health and disease is broadly acknowledged. The truncated, mannose-terminating structures consisting of 1–3 mannose residues, two N-acetylglucosamines, and a variable number of fucose moieties are termed paucimannose. Paucimannosidic N-glycans are abundantly expressed in plants and invertebrates. However, in vertebrates their presence is restricted to some pathophysiological conditions, such as cancer, immune disorders, infections, and inflammation, and in healthy individuals, they are detectable only in trace amounts. Mannitou, a murine monoclonal antibody, has been demonstrated to specifically recognise paucimannose glycoepitopes. An attempt to characterise Mannitou IgM structure was made by applying homology modelling, cryo-electron microscopy, and crystallisation techniques. Full-length Mannitou antibody has been generated using hybridoma technology. Recombinant Mannitou Fab has been successfully transiently expressed in HEK293T cells. The binding specificity of Mannitou towards different paucimannose N-glycans have been unravelled by a combination of experimental methods. The microarray screening revealed the minimal glyco-epitope to be Man2GlcNAc2. In turn, Man3GlcNAc2 manifested one of the strongest interactions with Mannitou antibody. Molecular recognition studies, employing surface plasmon resonance measurements and isothermal titration calorimetry, established a micromolar binding affinity of Manniotu antibody towards Man3GlcNAc2 glycan (Kd = ~50 μM). The mapping of the binding epitope by saturation transfer difference nuclear magnetic resonance demonstrated Manα1-3 as the main residue involved in Mannitou antibody recognition. The upregulation of paucimannosidic N-glycans in pathophysiological conditions makes Mannitou antibody a promising diagnostic and therapeutic tool.For determining the minimal carbohydrate structure required for mimicking the antigenic activity of the native MenX polysaccharide, surface plasmon resonance studies were performed. The experiments involved studying the binding interactions between an anti-MenX antibody and Neisseria meningitides serogroup X capsular oligosaccharides of different length. The results suggest that the minimal saccharide portion capable of ensuring protection against MenX infections may be DP5, making it a promising candidate for vaccine development
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Truong, David Hien. "Single-Step Factor Screening and Response Surface Optimization Using Optimal Designs with Minimal Aliasing." VCU Scholars Compass, 2010. http://scholarscompass.vcu.edu/etd/64.

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Cheng and Wu (2001) introduced a method for response surface exploration using only one design by using a 3-level design to first screen a large number of factors and then project onto the significant factors to perform response surface exploration. Previous work generally involved selecting designs based on projection properties first and aliasing structure second. However, having good projection properties is of little concern if the correct factors cannot be identified. We apply Jones and Nachtsheim’s (2009) method for finding optimal designs with minimal aliasing to find 18, 27, and 30-run designs to use for single-step screening and optimization. Our designs have better factor screening capabilities than the designs of Cheng and Wu (2001) and Xu et al. (2004), while maintaining similar D-efficiencies and allowing all projections to fit a full second order model.
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Xiao, Changhong. "A structural investigation into the complexity of mesoporous silica crystals : From a view of curvature and micellar interaction to quasicrystallinity." Doctoral thesis, Stockholms universitet, Institutionen för material- och miljökemi (MMK), 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-82382.

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Mesoporous silica crystals have a large variety of structures mainly due to the versatility of their structure template. The configuration and the chemical state of the templating micellar surfactants, together with the kinetic process of silica will determine the final outcome of the synthesis. Increasing the understanding of the complex formation processes involved will enable a possibilityto fine tune the material for specific uses, today focused into the fields of photoniccrystals, drug delivery, catalysis and separation technology. In this thesis emphasis is put on (1) increasing the understanding the formation mechanism yielding the different species of mesoporous silica crystals through an in depth study of quasicrystallinity (2) Characterization and description of the structural complexity through various characterization techniquesand also by studying the kinetic structural transformation phenomenon related to the minimal G- and D-surfaces. (3) The structural studies of the versatile surfactant liquid crystals for establishing a thermodynamically stable basis to evaluate the kinetic mesoporous silica growth processes. Furthermorethe thesis both enlightens the possibilities of and contributes to the developmentof electron microscopy characterization techniques. In these studies, electron microscopy is largely employed in the characterization to give a thorough picture of the mesoporous structures. This is combined with the sample preparation techniques cross-section polishing and ionslicing. Low voltage scanning electron microscopy is utilized for studying the surfaces and cross-sections of various materials at the limit of the resolution. Here, a deep understanding of the electron beam-material interaction is used for a better interpretation of the detected signals. Transmission electron microscopyis combined with electron crystallographic reconstruction to yield a three dimensional structural model. For determination of the quasicrystallinity level for a structure of dodecagonal tiling, revealed in the scope of this study,a phason strain analysis was made.

At the time of the doctoral defense, the following paper was unpublished and had a status as follows: Paper 7: Manuscript.

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Books on the topic "Minimal surface"

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A survey of minimal surfaces. New York: Dover Publications, 1986.

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1966-, Pérez Joaquín, ed. A survey on classical minimal surface theory. Providence, Rhode Island: American Mathematical Society, 2012.

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Fomenko, A. T. Variational principles of topology: Multidimensional minimal surface theory. Dordrecht [Netherlands]: Kluwer Academic, 1990.

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Kelvin, William Thomson, Baron, 1824-1907. and Weaire D. L, eds. The Kelvin problem: Foam structures of minimal surface area. London: Taylor & Francis, 1996.

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High, Steven S. Surface and intent: Joseph Amar, Ford Beckman, Carole Seborovski. [Richmond, Va.]: Anderson Gallery, Virginia Commonwealth University, 1988.

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The mathematics of soap films: Explorations with Maple. Providence, RI: American Mathematical Society, 2000.

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Colding, Tobias H. Minimal surfaces. New York: Courant Institute of Mathematical Sciences, New York University, 1999.

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Fomenko, A., ed. Minimal Surfaces. Translated by Group Moscow. Providence, Rhode Island: American Mathematical Society, 1993. http://dx.doi.org/10.1090/advsov/015.

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Dierkes, Ulrich, Stefan Hildebrandt, and Friedrich Sauvigny. Minimal Surfaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11698-8.

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Stefan, Hildebrandt, and Sauvigny Friedrich, eds. Minimal surfaces. 2nd ed. Heidelberg: Springer, 2010.

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Book chapters on the topic "Minimal surface"

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Rønquist, Einar M., and Øystein Tråsdahl. "Minimal Surface Equation." In Encyclopedia of Applied and Computational Mathematics, 920–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_377.

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Simon, Leon. "The Minimal Surface Equation." In Geometry V, 239–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03484-2_5.

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White, Brian. "Introduction to minimal surface theory." In Geometric Analysis, 385–438. Providence, Rhode Island: American Mathematical Society, 2016. http://dx.doi.org/10.1090/pcms/022/08.

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Nirenberg, Louis. "I.4. Minimal Surface Equation." In James Serrin. Selected Papers, 241–82. Basel: Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0845-3_4.

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Fujimori, Shoichi. "Computer Graphics in Minimal Surface Theory." In Mathematical Progress in Expressive Image Synthesis II, 9–18. Tokyo: Springer Japan, 2015. http://dx.doi.org/10.1007/978-4-431-55483-7_2.

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Klimentov, D. S. "Stochastic Test of a Minimal Surface." In Trends in Mathematics, 61–67. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-49763-7_6.

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Meeks, William, and Joaquín Pérez. "Conformal structure of minimal surfaces." In A Survey on Classical Minimal Surface Theory, 81–89. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/ulect/060/07.

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Meeks, William, and Joaquín Pérez. "Topological aspects of minimal surfaces." In A Survey on Classical Minimal Surface Theory, 137–44. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/ulect/060/13.

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Tenbrinck, Daniel, François Lozes, and Abderrahim Elmoataz. "Solving Minimal Surface Problems on Surfaces and Point Clouds." In Lecture Notes in Computer Science, 601–12. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18461-6_48.

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Rosso, Stefano, Andrea Curtarello, Federico Basana, Luca Grigolato, Roberto Meneghello, Gianmaria Concheri, and Gianpaolo Savio. "Modeling Symmetric Minimal Surfaces by Mesh Subdivision." In Lecture Notes in Mechanical Engineering, 249–54. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70566-4_40.

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AbstractThanks to the great diffusion of additive manufacturing technologies, the interest in lattice structures is growing. Among them, minimal surfaces are characterized by zero mean curvature, allowing enhanced properties such as mechanical response and fluidynamic behavior. Recent works showed a method for geometric modeling triply periodic minimal surfaces (TPMS) based on subdivision surface. In this paper, the deviation between the subdivided TPMS and the implicit defined ones is investigated together with mechanical properties computed by numerical methods. As a result, a model of mechanical properties as a function of the TPMS thickness and relative density is proposed.
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Conference papers on the topic "Minimal surface"

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Hu, Kaimo, Dong-Ming Yan, and Bedrich Benes. "Error-bounded surface remeshing with minimal angle elimination." In SIGGRAPH '16: Special Interest Group on Computer Graphics and Interactive Techniques Conference. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2945078.2945138.

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Kim, Soon-Ho, and Chi-Su Kim. "Path Optimization with Minimal Time at Surface Mount." In CES-CUBE 2015. Science & Engineering Research Support soCiety, 2015. http://dx.doi.org/10.14257/astl.2015.98.04.

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Bors, Adrian G., and Ming Luo. "Minimal surface distortion function for optimizing 3D watermarking." In 2013 11th IVMSP Workshop: 3D Image/Video Technologies and Applications. IEEE, 2013. http://dx.doi.org/10.1109/ivmspw.2013.6611909.

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L G Wells and V S Bodapati. "Reconstructing Soil After Simulated Surface Mining with Minimal Traffic*." In 2009 Reno, Nevada, June 21 - June 24, 2009. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2009. http://dx.doi.org/10.13031/2013.26927.

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Osborne, Steve, Matthias Nanningas, Hidekazu Takahashi, Eric Woster, Carl Kanda, and John Tibbe. "Mask cleaning strategies: particle elimination with minimal surface damage." In Photomask Technology 2005, edited by J. Tracy Weed and Patrick M. Martin. SPIE, 2005. http://dx.doi.org/10.1117/12.632151.

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Huang, Alvin, and Stephen Lewis. "Nearly Minimal: How intuition and analysis inform the minimal surface geometries in the Pure Tension Pavilion." In ACADIA 2014: Design Agency. ACADIA, 2014. http://dx.doi.org/10.52842/conf.acadia.2014.209.

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Panchal, Dakshata M., and Deepak J. Jayaswal. "Surface Approximation using Uniform Mesh Coarsening with Minimal Angle Enhancement." In 2020 3rd International Conference on Communication System, Computing and IT Applications (CSCITA). IEEE, 2020. http://dx.doi.org/10.1109/cscita47329.2020.9137783.

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Zhang, Peiyu, Glen Fitzpatrick, Walied Moussa, and Roger J. Zemp. "CMUTs with improved electrical safety & minimal dielectric surface charging." In 2010 IEEE Ultrasonics Symposium (IUS). IEEE, 2010. http://dx.doi.org/10.1109/ultsym.2010.5935744.

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Yuan, Jian-hua, and Wei-bo Zhong. "Super-Resolution Image Reconstruction Based on the Minimal Surface Regularization." In 2009 1st International Conference on Information Science and Engineering (ICISE 2009). IEEE, 2009. http://dx.doi.org/10.1109/icise.2009.1147.

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He, Qing, Xiu-Rong Zhao, and Zhong-Zhi Shi. "Sampling Based on Minimal Consistent Subset for Hyper Surface Classification." In 2007 International Conference on Machine Learning and Cybernetics. IEEE, 2007. http://dx.doi.org/10.1109/icmlc.2007.4370107.

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Reports on the topic "Minimal surface"

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Christensen, R. M. The problems of the minimal surface and minimal lineal measure in three dimensions. Office of Scientific and Technical Information (OSTI), February 1994. http://dx.doi.org/10.2172/10156523.

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Benjamin, Alex, and Rishon Benjamin. Minimal Surface with a Cavity of Given Perimeter. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-28-2012-59-66.

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McKnight, C., David May, and Keaton Jones. Numerical analysis of dike effects on the Mississippi River using a two-dimensional Adaptive Hydraulics model (AdH). Engineer Research and Development Center (U.S.), November 2022. http://dx.doi.org/10.21079/11681/46120.

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This report describes the hydraulic effects of dikes on water surface elevation (WSE) and velocities in the Mississippi River near Vicksburg, MS, from Interstate 20 to Highway 80 using a previously calibrated 2D Adaptive Hydraulics numerical model. Dike heights and their associated hydraulic roughness values were varied to quantify the overall effects of adjustments to dike fields. Steady flows characterized as low, medium, and high conditions were simulated. The WSE and velocity difference plots were generated to illustrate the hydraulic effects on the river under all scenarios discussed above. Overall, the dike adjustments had negligible impacts on WSEs and showed minimal effects on velocities on a system-wide scale.
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Mladenov, Ivaïlo M. Deformations of Minimal Surfaces. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-163-174.

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Drukker, Nadav, David J. Gross, and Hirosi Ooguri. Wilson loops in minimal surfaces. Office of Scientific and Technical Information (OSTI), April 1999. http://dx.doi.org/10.2172/753038.

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Cox, Benjamin, Nolan Hoffman, and Thomas Carr. Evaluation of a prototype integrated pavement screed for screeding asphalt or concrete crater repairs. Engineer Research and Development Center (U.S.), September 2022. http://dx.doi.org/10.21079/11681/45406.

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Finishing, or screeding, the hot mix asphalt or rapid-setting concrete surface of a crater repair is important for rapid airfield damage recovery (RADR) since it determines the aircraft ride surface quality. The objective of RADR repairs is to expediently produce a flush repair, defined as ±0.75 in. of the surrounding pavement surface, with minimal logistical and personnel burden. Multiple screeds were previously evaluated; the most recent project proposed a prototype design of a telehandler-operated integrated screed for both small and large repairs using asphalt or concrete. This project’s objective was to finalize the prototype design and fabricate and test the prototype RADR screed. The prototype RADR screed was successful for small repairs (8.5×8.5 ft). Large repairs (30×30 ft) were generally successful with modest repair quality criteria (RQC) issues being the only notable deficiencies. Large concrete repair RQC issues were attributed to plastic formwork movement, and large asphalt repair RQC issues were attributed to compaction issues or improper roll-down factors. Methods to mitigate these factors were investigated but should be further evaluated. Overall, the RADR screed was successful from technical perspectives but, functionally, is 600-800 lb overweight. Weight reduction should be considered before entering production.
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Whisler, Daniel, Rafael Gomez Consarnau, and Ryan Coy. Novel Eco-Friendly, Recycled Composites for Improved CA Road Surfaces. Mineta Transportation Institute, July 2021. http://dx.doi.org/10.31979/mti.2021.2046.

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The continued use of structural plastics in consumer products, industry, and transportation represents a potential source for durable, long lasting, and recyclable roadways. Costs to dispose of reinforced plastics can be similar to procuring new asphalt with mechanical performance exceeding that of the traditional road surface. This project examines improved material development times by leveraging advanced computational material models based on validated experimental data. By testing traditional asphalt and select carbon and glass reinforced composites, both new and recycled, it is possible to develop a finite element simulation that can predict the material characteristics under a number of loads virtually, and with less lead time compared to experimental testing. From the tested specimens, composites show minimal strength degradation when recycled and used within the asphalt design envelopes considered, with an average of 49% less wear, two orders of magnitude higher compressive strength, and three orders for tensile strength. Predictive computational analysis using the validated material models developed for this investigation confirms the long-term durability.
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Schwartz, Eric. Computing Minimal Distances on Arbitrary Polyhedral Surfaces. Fort Belvoir, VA: Defense Technical Information Center, January 1987. http://dx.doi.org/10.21236/ada210015.

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Choudhary, Ruplal, Victor Rodov, Punit Kohli, Elena Poverenov, John Haddock, and Moshe Shemesh. Antimicrobial functionalized nanoparticles for enhancing food safety and quality. United States Department of Agriculture, January 2013. http://dx.doi.org/10.32747/2013.7598156.bard.

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Original objectives The general goal of the project was to utilize the bactericidal potential of curcumin- functionalizednanostructures (CFN) for reinforcement of food safety by developing active antimicrobial food-contact surfaces. In order to reach the goal, the following secondary tasks were pursued: (a) further enhancement of the CFN activity based on understanding their mode of action; (b) preparing efficient antimicrobial surfaces, investigating and optimizing their performance; (c) testing the efficacy of the antimicrobial surfaces in real food trials. Background to the topic The project dealt with reducing microbial food spoilage and safety hazards. Cross-contamination through food-contact surfaces is one of the major safety concerns, aggravated by bacterial biofilm formation. The project implemented nanotech methods to develop novel antimicrobial food-contact materials based on natural compounds. Food-grade phenylpropanoidcurcumin was chosen as the most promising active principle for this research. Major conclusions, solutions, achievements In agreement with the original plan, the following research tasks were performed. Optimization of particles structure and composition. Three types of curcumin-functionalizednanostructures were developed and tested: liposome-type polydiacetylenenanovesicles, surface- stabilized nanoparticles and methyl-β-cyclodextrin inclusion complexes (MBCD). The three types had similar minimal inhibitory concentration but different mode of action. Nanovesicles and inclusion complexes were bactericidal while the nanoparticlesbacteriostatic. The difference might be due to different paths of curcumin penetration into bacterial cell. Enhancing the antimicrobial efficacy of CFN by photosensitization. Light exposure strengthened the bactericidal efficacy of curcumin-MBCD inclusion complexes approximately three-fold and enhanced the bacterial death on curcumin-coated plastic surfaces. Investigating the mode of action of CFN. Toxicoproteomic study revealed oxidative stress in curcumin-treated cells of E. coli. In the dark, this effect was alleviated by cellular adaptive responses. Under light, the enhanced ROS burst overrode the cellular adaptive mechanisms, disrupted the iron metabolism and synthesis of Fe-S clusters, eventually leading to cell death. Developing industrially-feasible methods of binding CFN to food-contact surfaces. CFN binding methods were developed for various substrates: covalent binding (binding nanovesicles to glass, plastic and metal), sonochemical impregnation (binding nanoparticles to plastics) and electrostatic layer-by-layer coating (binding inclusion complexes to glass and plastics). Investigating the performance of CFN-coated surfaces. Flexible and rigid plastic materials and glass coated with CFN demonstrated bactericidal activity towards Gram-negative (E. coli) and Gram-positive (Bac. cereus) bacteria. In addition, CFN-impregnated plastic material inhibited bacterial attachment and biofilm development. Testing the efficacy of CFN in food preservation trials. Efficient cold pasteurization of tender coconut water inoculated with E. coli and Listeriamonocytogeneswas performed by circulation through a column filled with CFN-coated glass beads. Combination of curcumin coating with blue light prevented bacterial cross contamination of fresh-cut melons through plastic surfaces contaminated with E. coli or Bac. licheniformis. Furthermore, coating of strawberries with CFN reduced fruit spoilage during simulated transportation extending the shelf life by 2-3 days. Implications, both scientific and agricultural BARD Report - Project4680 Page 2 of 17 Antimicrobial food-contact nanomaterials based on natural active principles will preserve food quality and ensure safety. Understanding mode of antimicrobial action of curcumin will allow enhancing its dark efficacy, e.g. by targeting the microbial cellular adaptation mechanisms.
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Gürses, Metin. Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo-Riemannian Geometries. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-171-180.

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