Relevant bibliographies by topics / Non-manifold surfaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Non-manifold surfaces'

Author: Grafiati
Published: 19 February 2023

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Journal articles on the topic "Non-manifold surfaces"

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Balsys, Ron J., K. G. Suffern, and Huw Jones. "Point-Based Rendering of Non-Manifold Surfaces." Computer Graphics Forum 27, no. 1 (2008): 63–72. http://dx.doi.org/10.1111/j.1467-8659.2007.01096.x.

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Matsumoto, Saburo. "A 3-manifold with a non-subgroup-separable fundamental group." Bulletin of the Australian Mathematical Society 55, no. 2 (1997): 261–79. http://dx.doi.org/10.1017/s0004972700033931.

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We examine a 3-manifold Γ whose fundamental group is known to be non-subgroup-separable (non-LERF). We show that this manifold Γ is a graph manifold and that the subgroup known to be non-separable is not geometric. On the other hand, there are incompressible surfaces immersed in the manifold which do not lift to embeddings in any finite-degree covering space. We then prove that these bad incompressible surfaces must have non-empty boundary.
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Dioos, Bart. "Non-conformal harmonic maps into the 3-sphere." International Journal of Geometric Methods in Modern Physics 12, no. 08 (2015): 1560012. http://dx.doi.org/10.1142/s0219887815600129.

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We present two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct from one non-conformal harmonic map a sequence of non-conformal harmonic maps. We also discuss the correspondence between non-conformal harmonic maps into the 3-sphere, H-surfaces in Euclidean 3-space and almost complex surfaces in the nearly Kähler manifold S3 × S3.
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Kang, Ensil. "Normal surfaces in non-compact 3-manifolds." Journal of the Australian Mathematical Society 78, no. 3 (2005): 305–21. http://dx.doi.org/10.1017/s1446788700008557.

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AbstractWe extend the normal surface Q-theory to non-compact 3-manifolds with respect to ideal triangulations. An ideal triangulation of a 3-manifold often has a small number of tetrahedra resulting in a system of Q-matching equations with a small number of variables. A unique feature of our approach is that a compact surface F with boundary properly embedded in a non-compact 3-manifold M with an ideal triangulation with torus cusps can be represented by a normal surface in M as follows. A half-open annulus made up of an infinite number of triangular disks is attached to each boundary componen
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KANG, ENSIL. "SEIFERT SURFACES IN KNOT COMPLEMENTS." Journal of Knot Theory and Its Ramifications 16, no. 08 (2007): 1053–66. http://dx.doi.org/10.1142/s0218216507005622.

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In the ordinary normal surface for a compact 3-manifold, any incompressible, ∂-incompressible, compact surface can be moved by an isotopy to a normal surface [9]. But in a non-compact 3-manifold with an ideal triangulation, the existence of a normal surface representing an incompressible surface cannot be guaranteed. The figure-8 knot complement is presented in a counterexample in [12]. In this paper, we show the existence of normal Seifert surface under some restriction for a given ideal triangulation of the knot complement.
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Teragaito, Masakazu. "On Non-Integral Dehn Surgeries Creating Non-Orientable Surfaces." Canadian Mathematical Bulletin 49, no. 4 (2006): 624–27. http://dx.doi.org/10.4153/cmb-2006-057-5.

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AbstractFor a non-trivial knot in the 3-sphere, only integral Dehn surgery can create a closed 3-manifold containing a projective plane. If we restrict ourselves to hyperbolic knots, the corresponding claim for a Klein bottle is still true. In contrast to these, we show that non-integral surgery on a hyperbolic knot can create a closed non-orientable surface of any genus greater than two.
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Gradolato, Monique, and Bruno Zimmermann. "Extending finite group actions on surfaces to hyperbolic 3-manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 117, no. 1 (1995): 137–51. http://dx.doi.org/10.1017/s0305004100072960.

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Let G be a finite group of orientation preserving isometrics of a closed orientable hyperbolic 2-manifold Fg of genus g > 1 (or equivalently, a finite group of conformal automorphisms of a closed Riemann surface). We say that the G-action on Fgbounds a hyperbolic 3-manifold M if M is a compact orientable hyperbolic 3-manifold with totally geodesic boundary Fg (as the only boundary component) such that the G-action on Fg extends to a G-action on M by isometrics. Symmetrically we will also say that the 3-manifold M bounds the given G-action. We are especially interested in Hurwitz actions, i.
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Allenby, R. B. J. T., Goansu Kim, and C. Y. Tang. "Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces." Journal of Algebra 323, no. 1 (2010): 1–9. http://dx.doi.org/10.1016/j.jalgebra.2009.10.003.

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Candia, Salvatore de, та Marian Ioan Munteanu. "Classification of slant surfaces in 𝕊3 × ℝ". Advances in Geometry 20, № 4 (2020): 463–72. http://dx.doi.org/10.1515/advgeom-2019-0019.

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AbstractWe investigate slant surfaces in the almost Hermitian manifold 𝕊3 × ℝ, considering the position of the Reeb vector field ξ of the Sasakian structure on 𝕊3 with respect to the surfaces. We examine two cases: ξ normal or tangent to the surfaces. In the first case, we prove that every surface is totally real. In the second case, we characterize and locally describe complex surfaces. Finally, we completely classify non-complex slant surfaces, giving explicit examples.
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BISWAS, INDRANIL, MAHAN MJ, and HARISH SESHADRI. "3-MANIFOLD GROUPS, KÄHLER GROUPS AND COMPLEX SURFACES." Communications in Contemporary Mathematics 14, no. 06 (2012): 1250038. http://dx.doi.org/10.1142/s0219199712500381.

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Let G be a Kähler group admitting a short exact sequence [Formula: see text] where N is finitely generated. (i) Then Q cannot be non-nilpotent solvable. (ii) Suppose in addition that Q satisfies one of the following: (a) Q admits a discrete faithful non-elementary action on ℍn for some n ≥ 2. (b) Q admits a discrete faithful non-elementary minimal action on a simplicial tree with more than two ends. (c) Q admits a (strong-stable) cut R such that the intersection of all conjugates of R is trivial. Then G is virtually a surface group. It follows that if Q is infinite, not virtually cyclic, and i
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Dissertations / Theses on the topic "Non-manifold surfaces"

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Lamboglia, Karine. "Modélisation volumique de surfaces non-manifold." Vandoeuvre-les-Nancy, INPL, 1994. http://docnum.univ-lorraine.fr/public/INPL_T_1994_LAMBOGLIA_K.pdf.

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La plupart des systèmes de modélisation volumique utilisant la représentation par surfaces-frontières ne considèrent que la géométrie manifold. Pour un objet manifold, et plus précisément 2-manifold, chaque point à un voisinage homéomorphe à un disque 2D. Cette restriction du domaine de représentation constitue un inconvénient majeur pour des applications manipulant des surfaces naturelles, comme c'est le cas par exemple en géologie ou en médecine. Le système de modélisation proposé permet d'étendre le domaine de représentation en prenant en compte à la fois les conditions manifold et non-mani
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(9801836), Dirk Harbinson. "Visualisation of non-manifold implicit surfaces." Thesis, 2011. https://figshare.com/articles/thesis/Visualisation_of_non-manifold_implicit_surfaces/13458665.

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This thesis addresses several visualisation problems for non-manifold and singular implicit algebraic surfaces and proposes algorithms for fast and correct rendering of many such surfaces. It is well known that non-manifold surfaces are particularly difficult to render and hence these algorithms provide interesting perspectives in rendering these surfaces. A main contribution is a GPU algorithm for point-based rendering of implicit surfaces. This algorithm is based on a hierarchical decomposition of the bounding volume using an octree spatial data structure and testing the occupied cells of
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Nguyen, Quoc Trong. "Triangulation of Non-Manifold Implicit Surfaces using Geometric Healing Techniques." Master's thesis, 2016. http://hdl.handle.net/10400.6/5826.

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Implicit surfaces used in geometric modeling are often limited to two-dimensional manifolds because they are defined as zero-set functions that separate the space into binary regions. Non-manifold implicit surfaces containing singularities such as isolated points or self-intersection points are essentially non-polygonizable. Thus, triangulating and rendering such surfaces are not a trival task. This dissertation presents the design and implementation of an algorithm for triangulating and rendering of non-manifold implicit surfaces using geometric healing techniques. The presented algorithm, ca
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闕聖翰. "The Non-linear Mapping between 3D Surface and 2D Plane by Manifold Learning Algorithm LLE." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/88793393919934265969.

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碩士<br>逢甲大學<br>應用數學學系<br>101<br>The techniques of adjusting grid are frequently used to obtain the more accurate numerical solutions in computational field simulation. In the past, it is difficult to adjust the surface grid in the three-dimensional space. In this thesis, we use the techniques of dimensionality reduction in manifold learning to develop a strategy of bi-directional nonlinear mapping between three-dimensional surface and two-dimensional plane that can be applied to the study of multigrid, adaptive grid and so on. Both the structured grid and unstructured grid can be mapped from th
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曾昰銘. "The Non-linear Mapping between 3D Surface and 2D Plane by Manifold Learning Algorithm Laplacian Eigenmap." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/22735633525190364718.

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Book chapters on the topic "Non-manifold surfaces"

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Michikawa, Takashi, and Hiromasa Suzuki. "Non-manifold Medial Surface Reconstruction from Volumetric Data." In Advances in Geometric Modeling and Processing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13411-1_9.

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"Non-Linear Arrays: (θ, ϕ)-Parametrization of Array Manifold Surfaces." In Differential Geometry in Array Processing. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2004. http://dx.doi.org/10.1142/9781860946028_0004.

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Staiano, Antonino, Lara De Vinco, Giuseppe Longo, and Roberto Tagliaferri. "Advanced Data Mining and Visualization Techniques with Probabilistic Principal Surfaces." In Data Warehousing and Mining. IGI Global, 2008. http://dx.doi.org/10.4018/978-1-59904-951-9.ch123.

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Probabilistic Principal Surfaces (PPS) is a non linear latent variable model with very powerful visualization and classification capabilities which seem to be able to overcome most of the shortcomings of other neural tools. PPS builds a probability density function of a given set of patterns lying in a high-dimensional space which can be expressed in terms of a fixed number of latent variables lying in a latent Q-dimensional space. Usually, the Q-space is either two or three dimensional and thus the density function can be used to visualize the data within it. The case in which Q = 3 allows to project the patterns on a spherical manifold which turns out to be optimal when dealing with sparse data. PPS may also be arranged in ensembles to tackle complex classification tasks. As template cases we discuss the application of PPS to two real- world data sets from astronomy and genetics.
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Darrigol, Olivier. "FROM RIEMANN TO RICCI." In Relativity Principles and Theories from Galileo to Einstein. Oxford University PressOxford, 2021. http://dx.doi.org/10.1093/oso/9780192849533.003.0008.

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Abstract In the 1820s Gauss characterized the intrinsic geometry of a surface through a metric formula and the associated curvature. Riemann later generalized these notions to a manifold of arbitrary dimensions and gave the general expression of the intrinsic curvature, without proof. Dedekind, Christoffel, and Lipschitz struggled to reconstruct the missing calculations, mostly in the algebraic context of the equivalence of two (quadratic) differential forms. The end result was Ricci-Curbastro’s “absolute differential calculus,” which contained the basic apparatus of modern differential calculus on a manifold. The geometric interpretation came after general relativity, when Levi-Civita explained Riemann’s curvature tensor through a new concept of parallel displacement. Riemann’s geometry went beyond the synthetic non-Euclidean geometries earlier proposed by Bolyai and Lobachevsky. There was frequent speculation, especially from astronomers, that the new geometries may apply to the physical world. Riemann and Clifford even conceived that space curvature might express the presence of matter.
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Conference papers on the topic "Non-manifold surfaces"

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Bloomenthal, Jules, and Keith Ferguson. "Polygonization of non-manifold implicit surfaces." In the 22nd annual conference. ACM Press, 1995. http://dx.doi.org/10.1145/218380.218462.

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Jones, Huw, Ron J. Balsys, and Kevin G. Suffernt. "Point based rendering of non manifold surfaces." In the 1st international conference. ACM Press, 2003. http://dx.doi.org/10.1145/604471.604529.

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Fei, Yaoping, Songqiao Chen, Dan Su, Jianping Luo, and Min Li. "A New Algorithm for Repairing Non-manifold Surfaces." In 2013 IEEE International Conference on High Performance Computing and Communications (HPCC) & 2013 IEEE International Conference on Embedded and Ubiquitous Computing (EUC). IEEE, 2013. http://dx.doi.org/10.1109/hpcc.and.euc.2013.242.

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Harbinson, Dirk J., Ron J. Balsys, and Kevin G. Suffern. "Point rendering of non-manifold surfaces with features." In the 5th international conference. ACM Press, 2007. http://dx.doi.org/10.1145/1321261.1321270.

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Balsys, Ron J., and Kevin G. Suffern. "Point based rendering of non-manifold surfaces with contours." In the 2nd international conference. ACM Press, 2004. http://dx.doi.org/10.1145/988834.988836.

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Nguyen, Quoc Trong, and Abel J. P. Gomes. "Healed marching cubes algorithm for non-manifold implicit surfaces." In 2016 23° Encontro Português de Computação Gráfica e Interação (EPCGI). IEEE, 2016. http://dx.doi.org/10.1109/epcgi.2016.7851184.

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Gomes, Abel, Sergio Dias, and Jose Morgado. "Polygonization of non-homogeneous non-manifold implicit surfaces with tentative topological guarantees." In 2010 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2010. http://dx.doi.org/10.1109/cec.2010.5586012.

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Harbinson, D., R. Balsys, and K. Suffern. "Hybrid Polygon-Point Rendering of Singular and Non-Manifold Implicit Surfaces." In 2019 23rd International Conference in Information Visualization – Part II. IEEE, 2019. http://dx.doi.org/10.1109/iv-2.2019.00039.

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Harbinson, D. J., R. J. Balsys, and K. G. Suffern. "Polygonisation of Non-manifold Implicit Surfaces Using a Dual Grid and Points." In 2010 Seventh International Conference on Computer Graphics, Imaging and Visualization (CGIV). IEEE, 2010. http://dx.doi.org/10.1109/cgiv.2010.35.

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Raposo, Adriano N., and Abel J. P. Gomes. "Polygonization of multi-component non-manifold implicit surfaces through a symbolic-numerical continuation algorithm." In the 4th international conference. ACM Press, 2006. http://dx.doi.org/10.1145/1174429.1174496.

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