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Journal articles on the topic 'Topology preservation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Malgouyres, Rémy, and Alexandre Lenoir. "Topology Preservation Within Digital Surfaces." Graphical Models 62, no. 2 (2000): 71–84. http://dx.doi.org/10.1006/gmod.1999.0517.

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2

Mor˘arescu, Irinel-Constantin, and Mirko Fiacchini. "LMI conditions for topology preservation: applications to multi-agent tasks." Journal of Control Engineering and Technology 4, no. 3 (2014): 183–91. http://dx.doi.org/10.14511/jcet.2014.040304.

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3

Saha, P. K., B. B. Chaudhuri, B. Chanda, and D. Dutta Majumder. "Topology preservation in 3D digital space." Pattern Recognition 27, no. 2 (1994): 295–300. http://dx.doi.org/10.1016/0031-3203(94)90060-4.

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4

Kardos, Péter, and Kálmán Palágyi. "Topology preservation on the triangular grid." Annals of Mathematics and Artificial Intelligence 75, no. 1-2 (2014): 53–68. http://dx.doi.org/10.1007/s10472-014-9426-6.

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5

Ma, C. M. "On Topology Preservation in 3D Thinning." CVGIP: Image Understanding 59, no. 3 (1994): 328–39. http://dx.doi.org/10.1006/ciun.1994.1023.

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6

Ma, C. "On Topology Preservation in 3D Thinning." Computer Vision and Image Understanding 59, no. 3 (1994): 328–39. http://dx.doi.org/10.1006/cviu.1994.1027.

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7

Yang, Xuan, and Shan Shan Fan. "Topology-Preserving Transformation Based on the Correspondence of Control Points Using Radial Basis Functions." Applied Mechanics and Materials 249-250 (December 2012): 752–58. http://dx.doi.org/10.4028/www.scientific.net/amm.249-250.752.

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For point-based image registration, transformations using radial basis functions on scattered points cause problems with topology-preservation. We propose here a topology-preserving transformation based on expansions of radial basis functions. By analyzing the non-preserving transformation given by the corresponding control points, this method computes the main shifting directions of topology non-preserving regions on deformed surfaces. It then determines the control points leading to the topology non-preservation results. Next, it adaptively relaxes these control points based on the spatial r

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8

Shamir, Ariel, and Amir Shaham. "Skeleton based solid representation with topology preservation." Graphical Models 68, no. 3 (2006): 307–21. http://dx.doi.org/10.1016/j.gmod.2005.10.001.

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9

Ge, Song, and Guoliang Fan. "Topology-aware non-rigid point set registration via global–local topology preservation." Machine Vision and Applications 30, no. 4 (2019): 717–35. http://dx.doi.org/10.1007/s00138-019-01024-w.

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10

Künzi, Hans-Peter A. "Preservation of completeness under mappings in asymmetric topology." Applied General Topology 1, no. 1 (2000): 99. http://dx.doi.org/10.4995/agt.2000.3027.

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<p>The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting under open, closed and uniformly open mappings is investigated. In particular, it is noted that between quasi-uniform spaces the property that each costable filter has a cluster point is preserved under uniformly open continuous surjections. Furthermore in the realm of quasi-uniform spaces conditions under which almost uniformly open mappings are uniformly open are given which generalize corresponding classical results for uniform spaces. As a by-product it is shown that a quasi-metriza

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11

ZHOU, Xiang-dong. "Enhancement of topology preservation of self-organizing map." Journal of Computer Applications 29, no. 12 (2010): 3256–58. http://dx.doi.org/10.3724/sp.j.1087.2009.03256.

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12

Baptista, Murilo S., Marcelo B. Reyes, José C. Sartorelli, Celso Grebogi, and Epaminondas Rosa. "Communication-Based on Topology Preservation of Chaotic Dynamics." International Journal of Bifurcation and Chaos 13, no. 09 (2003): 2551–60. http://dx.doi.org/10.1142/s0218127403008077.

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By using the Chua circuit we present experimental results for the feasibility of a chaotic communication scheme in which large parameter variations are allowed. The parameters are varied along special codimension one directions, on which the topology of chaotic attractors remains roughly invariant.

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13

Fourey, Sébastien, and Rémy Malgouyres. "Intersection number and topology preservation within digital surfaces." Theoretical Computer Science 283, no. 1 (2002): 109–50. http://dx.doi.org/10.1016/s0304-3975(01)00059-7.

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14

Ozeré, Solène, and Carole Le Guyader. "Topology preservation for image-registration-related deformation fields." Communications in Mathematical Sciences 13, no. 5 (2015): 1135–61. http://dx.doi.org/10.4310/cms.2015.v13.n5.a4.

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15

Huelsenbeck, John P., and Bruce Rannala. "Maximum likelihood estimation of phylogeny using stratigraphic data." Paleobiology 23, no. 2 (1997): 174–80. http://dx.doi.org/10.1017/s0094837300016778.

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The stratigraphic distribution of fossil species contains potential information about phylogeny because some phylogenetic trees are more consistent with the distribution of fossils in the rock record than others. A maximum likelihood estimator of phylogeny is derived using an explicit mathematical model of fossil preservation. The method assumes that fossil preservations within lineages follow an independent Poisson process, but can be extended to include other preservation models. The performance of the method was examined using Monte Carlo simulation. The performance of the maximum likelihoo

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16

Mena-Jurado, Juan Francisco, and Juan Carlos Navarro-Pascual. "Preservation of Extreme Points." Mathematics 10, no. 13 (2022): 2268. http://dx.doi.org/10.3390/math10132268.

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We characterize the extreme points of the closed unit ball of the dual of a Banach space which are preserved by the adjoint of any extreme operator. The result is related to the structure topology introduced by Alfsen and Effros on the set of all extreme points in the dual of any Banach space. As a consequence, we prove that c0(I) is the only Banach space such that the adjoint of every extreme operator taking values into it preserves extreme points.

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17

Especial, João N. C., Antonio Rey, and Patrícia F. N. Faísca. "A Note on the Effects of Linear Topology Preservation in Monte Carlo Simulations of Knotted Proteins." International Journal of Molecular Sciences 23, no. 22 (2022): 13871. http://dx.doi.org/10.3390/ijms232213871.

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Monte Carlo simulations are a powerful technique and are widely used in different fields. When applied to complex molecular systems with long chains, such as those in synthetic polymers and proteins, they have the advantage of providing a fast and computationally efficient way to sample equilibrium ensembles and calculate thermodynamic and structural properties under desired conditions. Conformational Monte Carlo techniques employ a move set to perform the transitions in the simulation Markov chain. While accepted conformations must preserve the sequential bonding of the protein chain model an

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18

Fiacchini, Mirko, and Irinel-Constantin Morarescu. "Convex Conditions on Decentralized Control for Graph Topology Preservation." IEEE Transactions on Automatic Control 59, no. 6 (2014): 1640–45. http://dx.doi.org/10.1109/tac.2013.2292719.

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19

Ma, Cherng-Min. "Topology preservation of template-based 6-subiteration reduction operations." Pattern Recognition 36, no. 8 (2003): 1775–82. http://dx.doi.org/10.1016/s0031-3203(03)00007-4.

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20

Theisel, H., Ch Rossl, and H. P. Seidel. "Compression of 2D Vector Fields Under Guaranteed Topology Preservation." Computer Graphics Forum 22, no. 3 (2003): 333–42. http://dx.doi.org/10.1111/1467-8659.00680.

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21

Vidaurre, Diego, and Jorge Muruzabal. "A Quick Assessment of Topology Preservation for SOM Structures." IEEE Transactions on Neural Networks 18, no. 5 (2007): 1524–28. http://dx.doi.org/10.1109/tnn.2007.895820.

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22

Qahis, Abdo Mohammed, and Takashi Noiri. "Preservation theorems of weakly \muH-countably compact spaces." Boletim da Sociedade Paranaense de Matemática 42 (April 19, 2024): 1–5. http://dx.doi.org/10.5269/bspm.63934.

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In this paper we study the effect of functions on weakly \muH-countably compact spaces in generalized topology. The main result is that the \theta(\mu, \nu)-continuous image of a weakly \muH-countably compact (resp. weakly \mu-countably compact) space is weakly \nuf(H)-countably compact (resp. weakly \nu-countably compact).

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23

KONG, T. Y. "ON TOPOLOGY PRESERVATION IN 2-D AND 3-D THINNING." International Journal of Pattern Recognition and Artificial Intelligence 09, no. 05 (1995): 813–44. http://dx.doi.org/10.1142/s0218001495000341.

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An (m, n)-simple 1 in a binary image I has the property that its deletion “preserves topology” when m-adjacency is used on the 1’s and n-adjacency on the 0’s of I. This paper presents new, easily visualized, necessary and sufficient conditions for a 1 in I to be (m, n)-simple, for (m, n)=(26, 6), (18, 6), (6, 26) or (6, 18) when I is a 3-d image and (m, n)=(8, 4) or (4, 8) when I is a 2-d image. Systematic and fairly general methods of verifying that a given parallel thinning algorithm always preserves topology are described, for the cases where 8-/26-adjacency is used on the 1’s and 4-/6-adja

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24

Sadatnejad, Khadijeh, and Saeed Shiry Ghidary. "Adaptive spectrum transformation by topology preservation on indefinite proximity data." Pattern Recognition Letters 98 (October 2017): 59–67. http://dx.doi.org/10.1016/j.patrec.2017.08.006.

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25

JIAO, XIANGMIN, and MICHAEL T. HEATH. "OVERLAYING SURFACE MESHES, PART II: TOPOLOGY PRESERVATION AND FEATURE MATCHING." International Journal of Computational Geometry & Applications 14, no. 06 (2004): 403–19. http://dx.doi.org/10.1142/s0218195904001524.

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In Part I, we described an efficient and robust algorithm for computing a common refinement of two surface meshes. In this paper, we present a theoretical verification of the robustness of our algorithm by showing the topological preservation of the intersection principle, which we used to resolve topological inconsistencies caused by numerical errors. To enhance robustness in practice for complex geometries, we further propose techniques to detect and match geometric features, such as ridges, corners, and nonmatching boundaries. We report experimental results using our enhanced overlay algori

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26

Bosica, Chiara, Roberto Cavoretto, Alessandra De Rossi, and Hanli Qiao. "On the topology preservation of Gneiting’s functions in image registration." Signal, Image and Video Processing 11, no. 5 (2016): 953–60. http://dx.doi.org/10.1007/s11760-016-1044-9.

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27

Holický, Petr. "Preservation of completeness by some continuous maps." Topology and its Applications 157, no. 12 (2010): 1926–30. http://dx.doi.org/10.1016/j.topol.2010.04.004.

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28

Gutiérrez García, Javier, and Tomasz Kubiak. "A preservation result for completely regular locales." Topology and its Applications 168 (May 2014): 40–45. http://dx.doi.org/10.1016/j.topol.2014.02.017.

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29

Ostrovsky, Alexey. "Preservation of complete metrizability by covering maps." Topology and its Applications 201 (March 2016): 269–73. http://dx.doi.org/10.1016/j.topol.2015.04.019.

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30

Bouziad, A., and E. Sukhacheva. "Preservation of uniform continuity under pointwise product." Topology and its Applications 254 (March 2019): 132–44. http://dx.doi.org/10.1016/j.topol.2019.01.002.

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31

Li, Xiaoyun, Chenxi Wu, and Ping Li. "IVFS: Simple and Efficient Feature Selection for High Dimensional Topology Preservation." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 04 (2020): 4747–54. http://dx.doi.org/10.1609/aaai.v34i04.5908.

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Feature selection is an important tool to deal with high dimensional data. In unsupervised case, many popular algorithms aim at maintaining the structure of the original data. In this paper, we propose a simple and effective feature selection algorithm to enhance sample similarity preservation through a new perspective, topology preservation, which is represented by persistent diagrams from the context of computational topology. This method is designed upon a unified feature selection framework called IVFS, which is inspired by random subset method. The scheme is flexible and can handle cases

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32

SCHRÖDER, MATTHIAS, and ALEX SIMPSON. "Two preservation results for countable products of sequential spaces." Mathematical Structures in Computer Science 17, no. 1 (2007): 161–72. http://dx.doi.org/10.1017/s0960129506005895.

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We prove two results for the sequential topology on countable products of sequential topological spaces. First we show that a countable product of topological quotients yields a quotient map between the product spaces. Then we show that the reflection from sequential spaces to its subcategory of monotone ω-convergence spaces preserves countable products. These results are motivated by applications to the modelling of computation on non-discrete spaces.

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33

Porkolab, Vanessa, Carlo Pifferi, Ieva Sutkeviciute, et al. "Development of C-type lectin-oriented surfaces for high avidity glycoconjugates: towards mimicking multivalent interactions on the cell surface." Organic & Biomolecular Chemistry 18, no. 25 (2020): 4763–72. http://dx.doi.org/10.1039/d0ob00781a.

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Here we described C-type lectin-oriented surfaces for SPR analysis. They allow the preservation of receptor topology, accessibility of binding sites, better evaluation of high avidity compounds and assessment of multivalent effect at cell surface.

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34

Karbauskaitė, Rasa, and Gintautas Dzemyda. "Topology Preservation Measures in the Visualization of Manifold-Type Multidimensional Data." Informatica 20, no. 2 (2009): 235–54. http://dx.doi.org/10.15388/informatica.2009.248.

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35

Zheng, Chaojie, Xiuying Wang, Shan Zeng, et al. "Topology-guided deformable registration with local importance preservation for biomedical images." Physics in Medicine & Biology 63, no. 1 (2017): 015028. http://dx.doi.org/10.1088/1361-6560/aa9917.

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36

Villmann, T., R. Der, M. Herrmann, and T. M. Martinetz. "Topology preservation in self-organizing feature maps: exact definition and measurement." IEEE Transactions on Neural Networks 8, no. 2 (1997): 256–66. http://dx.doi.org/10.1109/72.557663.

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37

Saha, Punam K., and Azriel Rosenfeld. "Local and global topology preservation in locally finite sets of tiles." Information Sciences 137, no. 1-4 (2001): 303–11. http://dx.doi.org/10.1016/s0020-0255(01)00107-4.

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38

Liu, Jianbo, and Dragan Djurdjanovic. "Topology Preservation and Cooperative Learning in Identification of Multiple Model Systems." IEEE Transactions on Neural Networks 19, no. 12 (2008): 2065–72. http://dx.doi.org/10.1109/tnn.2008.2003285.

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39

Sundaramoorthi, Ganesh, and Anthony Yezzi. "Global Regularizing Flows With Topology Preservation for Active Contours and Polygons." IEEE Transactions on Image Processing 16, no. 3 (2007): 803–12. http://dx.doi.org/10.1109/tip.2007.891071.

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40

Al Ghour, Samer. "Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces." Axioms 12, no. 1 (2023): 78. http://dx.doi.org/10.3390/axioms12010078.

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In this paper, we introduce soft complete continuity as a strong form of soft continuity and we introduce soft strong continuity as a strong form of soft complete continuity. Several characterizations, compositions, and restriction theorems are obtained. Moreover, several preservation theorems regarding soft compactness, soft Lindelofness, soft connectedness, soft regularity, soft normality, soft almost regularity, soft mild normality, soft almost compactness, soft almost Lindelofness, soft near compactness, soft near Lindelofness, soft paracompactness, soft near paracompactness, soft almost p

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41

Dikranjan, Dikran, and Nicolò Zava. "Preservation and reflection of size properties of balleans." Topology and its Applications 221 (April 2017): 570–95. http://dx.doi.org/10.1016/j.topol.2017.02.008.

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42

LIN, Xiang-Bo, Tian-Shuang QIU, Su RUAN, and NICOLIER Frédéric. "Research on the Topology Preservation of the Demons Non-rigid Registration Algorithm." Acta Automatica Sinica 36, no. 1 (2010): 179–83. http://dx.doi.org/10.3724/sp.j.1004.2010.00179.

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43

Németh, Gábor, Péter Kardos, and Kálmán Palágyi. "2D Parallel Thinning and Shrinking Based on Sufficient Conditions for Topology Preservation." Acta Cybernetica 20, no. 1 (2011): 125–44. http://dx.doi.org/10.14232/actacyb.20.1.2011.10.

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44

Carmesin, Hans-Otto. "Topology-preservation emergence by the Hebb rule with infinitesimal short-range signals." Physical Review E 53, no. 1 (1996): 993–1002. http://dx.doi.org/10.1103/physreve.53.993.

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45

Yang, Xuan, Zhong Xue, Xia Liu, and Darong Xiong. "Topology preservation evaluation of compact-support radial basis functions for image registration." Pattern Recognition Letters 32, no. 8 (2011): 1162–77. http://dx.doi.org/10.1016/j.patrec.2011.03.004.

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46

Sanchez-Palencia, Evariste, and Jean-Pierre Françoise. "New Schemes of Dynamic Preservation of Diversity: Remarks on Stability and Topology." Acta Biotheoretica 68, no. 1 (2019): 157–69. http://dx.doi.org/10.1007/s10441-019-09353-z.

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47

Tambouratzis, G., and T. J. Stonham. "Evaluating the topology-preservation capabilities of a self-organising logical neural network." Pattern Recognition Letters 14, no. 11 (1993): 927–34. http://dx.doi.org/10.1016/0167-8655(93)90157-9.

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48

Kardos, Péter, and Kálmán Palágyi. "On topology preservation of mixed operators in triangular, square, and hexagonal grids." Discrete Applied Mathematics 216 (January 2017): 441–48. http://dx.doi.org/10.1016/j.dam.2015.10.033.

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49

Hao, Zhi Feng, Ze Bin Zhang, Zhao Quan Cai, and Han Huang. "An Improved Crawler Algorithm Based on Hierarchical Structure Preservation." Key Engineering Materials 474-476 (April 2011): 2120–24. http://dx.doi.org/10.4028/www.scientific.net/kem.474-476.2120.

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This paper proposes an improved web crawler algorithm to climb more useful information since the basic web crawler algorithm is low-efficiency and easy to climb useless repeated information. By the proposed algorithm, the website urls are hierarchical saved to store websites overall topology, which will make crisscross complex web URL system from a graphic structure into a tree structure. The actual website BBS experiments show that the algorithm is much better than the basic web crawler algorithm in crawling speed and download information such as the usefulness of baking. Furthermore, it prov

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50

Quintián, Héctor, and Emilio Corchado. "A Novel Ensemble Beta-Scale Invariant Map Algorithm." IEEE Access 8 (June 5, 2020): 108857–84. https://doi.org/10.1109/ACCESS.2020.3001690.

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Abstract This research presents a novel topology preserving map (TPM) called Weighted Voting Supervision -Beta-Scale Invariant Map (WeVoS-Beta-SIM), based on the application of the Weighted Voting Supervision (WeVoS) meta-algorithm to a novel family of learning rules called Beta-Scale Invariant Map (Beta-SIM). The aim of the novel TPM presented is to improve the original models (SIM and Beta-SIM) in terms of stability and topology preservation and at the same time to preserve their original features, especially in the case of radial datasets, where they all are designed to perform their best.

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