Relevant bibliographies by topics / Hyperbolic visualization

Contents

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

Academic literature on the topic 'Hyperbolic visualization'

Author: Grafiati
Published: 5 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Hyperbolic visualization"

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Qiu, Chongyang, Xinfei Li, Jianhua Pang, and Peichang Ouyang. "Visualization of Escher-like Spiral Patterns in Hyperbolic Space." Symmetry 14, no. 1 (2022): 134. http://dx.doi.org/10.3390/sym14010134.

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Spirals, tilings, and hyperbolic geometry are important mathematical topics with outstanding aesthetic elements. Nonetheless, research on their aesthetic visualization is extremely limited. In this paper, we give a simple method for creating Escher-like hyperbolic spiral patterns. To this end, we first present a fast algorithm to construct Euclidean spiral tilings with cyclic symmetry. Then, based on a one-to-one mapping between Euclidean and hyperbolic spaces, we establish two simple approaches for constructing spiral tilings in hyperbolic models. Finally, we use wallpaper templates to render such tilings, which results in the desired Escher-like hyperbolic spiral patterns. The method proposed is able to generate a great variety of visually appealing patterns.
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Marić, Filip. "Formalization, Automatization and Visualization of Hyperbolic Geometry." Electronic Proceedings in Theoretical Computer Science 398 (January 20, 2024): 2. http://dx.doi.org/10.4204/eptcs.398.2.

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Urribarri, Dana, Silvia Castro, and Sergio Martig. "Gyrolayout: A Hyperbolic Level-of-Detail Tree Layout." JUCS - Journal of Universal Computer Science 19, no. (1) (2013): 132–56. https://doi.org/10.3217/jucs-019-01-0132.

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Many large datasets can be represented as hierarchical structures,introducing not only the necessity of specialized tree visualization techniques, but also the requirements of handling large amounts of data and offering the user a useful insightinto them. Many two-dimensional techniques have been developed, but 3-dimensional ones, together with navigational interactions, present a promising appropriate tool todeal with large trees. In this paper we present a hyperbolic tree layout extended to support different level-of-detail techniques and suitable for large tree representation and visualization. This layout permits the visualization of large trees with different level of detail in anenclosed 3-dimensional volume. As a significant part of the layout, we also present a Weighted Spherical Centroidal Voronoi Tessellation, an extension of planar Weighted Centroidal Voronoi Tessellations, in order to find an appropriate distribution of nodes on a spherical surface.
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Rangkuti, Rizki Kurniawan, Siti Khabibah, and Rooselyna Ekawati. "Spatial reasoning of mathematics education students: an analysis of differences in solving hyperbola problems based on level of geometry ability." Perspectives of science and Education 72, no. 6 (2025): 248–60. https://doi.org/10.32744/pse.2024.6.16.

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Introduction. The facts show that students at the school level still have low spatial reasoning abilities at the school level, but the spatial reasoning abilities of students at the university level are not yet known. The results of students' spatial reasoning abilities are not yet known, so it is necessary to carry out detailed research so that it can be understood more widely. The purpose of this research is to analyze how hyperbolic problem solving differs based on the level of student ability, so that students with high, medium and low ability can be described more specifically at each step of problem solving. Study participants and methods. The subjects in this research were undergraduate students in the mathematics education study program at the Institut Pendidikan Tapanuli Selatan, Indonesia, who were determined using purposive sampling on the condition that they had taken analytical geometry courses. The research subjects selected were 3 students, each of whom had high ability with a score of 95, medium ability with a score of 85 and low ability with a score of 73 who were tested with a geometric ability test. The results of solving hyperbolic problems refer to indicators of spatial reasoning. Hyperbola problem solving data is analyzed based on the level of geometric ability with stages of data reduction, data presentation, and drawing conclusions. This research method is a qualitative descriptive research method with a single case design. Results. First, subjects with high geometric abilities based on analysis of spatial reasoning indicators, namely spatial visualization, mental rotation, and spatial orientation, have good problem-solving skills with an average achievement of 92.4.In spatial reasoning on hyperbolic objects, starting from the steps to understand the problem and planning a solution based on the problem, as well as carrying out the solution and evaluating the solution, there is no difficulty in solving the hyperbolic problem. Second, subjects with moderate geometric abilities based on analysis of spatial visualization abilities, mental rotation, and spatial orientation have good learning achievements, which are also shown based on spatial reasoning indicators. It is known that the average problem-solving ability for moderate geometry is 84.83. Third, subjects with low geometric ability based on analysis of spatial visualization ability, mental rotation, and spatial orientation showed poor performance, with the average achievement of problem solving with low geometric ability being 73.2. Conclusion. This research describes how the ability to solve hyperbola problems differs based on the level of geometric ability. The results of this research provide a basic description that can be used to show differences in hyperbola problem solving abilities from the four steps based on high, medium and low geometric abilities.
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Celińska, Dorota, and Eryk Kopczyński. "Programming Languages in GitHub: A Visualization in Hyperbolic Plane." Proceedings of the International AAAI Conference on Web and Social Media 11, no. 1 (2017): 727–28. http://dx.doi.org/10.1609/icwsm.v11i1.14862.

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GitHub is nowadays the largest software repository hosting service that incorporates social media functionalities to writing and assessing source code. We visualize the weighted network of programming languages used by the registered users of GitHub as of December 2016. There is an edge in the graph between language A and B if and only if A and B are both used by the same user in any of her repositories. The weight depends on the number of times such edge appears. Our visualization utilizes hyperbolic geometry, which is intrinsic to networks based on similarity and popularity. RogueViz, a novel tool, based on the Open Source game HyperRogue, is used to map the network and navigate the hyperbolic graph.
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Zheng, Wenhu, and Xia He. "Dynamic Application of Matlab in Teaching of Hyperbolic Paraboloid." Advances in Engineering Technology Research 2, no. 1 (2022): 565. http://dx.doi.org/10.56028/aetr.2.1.565.

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In teaching of hyperbolic paraboloid, this paper breaks through the traditional teaching method. Through its theoretical analysis, combined with graphic visualization of MATLAB software, this paper shows two formation processes and notch transformation processes of hyperbolic paraboloid, so as to enhance students' learning interest, cultivate students' spatial imagination and improve teachers' teaching effect, so as to further promote the modernization of basic course teaching methods.
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Ouyang, Peichang, Dongsheng Cheng, Yanhua Cao, and Xiaogen Zhan. "The visualization of hyperbolic patterns from invariant mapping method." Computers & Graphics 36, no. 2 (2012): 92–100. http://dx.doi.org/10.1016/j.cag.2011.12.005.

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Lam, Ho-Ching, and Ivo D. Dinov. "Hyperbolic Wheel: A Novel Hyperbolic Space Graph Viewer for Hierarchical Information Content." ISRN Computer Graphics 2012 (October 31, 2012): 1–10. http://dx.doi.org/10.5402/2012/609234.

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Tree and graph structures have been widely used to present hierarchical and linked data. Hyperbolic trees are special types of graphs composed of nodes (points or vertices) and edges (connecting lines), which are visualized on a non-Euclidean space. In traditional Euclidean space graph visualization, distances between nodes are measured by straight lines. Displays of large graphs in Euclidean spaces may not utilize efficiently the available space and may impose limitations on the number of graph nodes. The special hyperbolic space rendering of tree-graphs enables adaptive and efficient use of the available space and facilitates the display of large hierarchical structures. In this paper we report on a newly developed advanced hyperbolic graph viewer, Hyperbolic Wheel, which enables the navigation, traversal, discovery and interactive manipulation of information stored in large hierarchical structures. Examples of such structures include personnel records, disc directory structures, ontological constructs, web-pages and other nested partitions. The Hyperbolic Wheel framework provides an intuitive and dynamic graphical interface to explore and retrieve information about individual nodes (data objects) and their relationships (data associations). The Hyperbolic Wheel is freely available online for educational and research purposes.
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Saalbach, Axel, Jörg Ontrup, Helge Ritter, and Tim W. Nattkemper. "Image Fusion Based on Topographic Mappings Using the Hyperbolic Space." Information Visualization 4, no. 4 (2005): 266–75. http://dx.doi.org/10.1057/palgrave.ivs.9500106.

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The analysis of multivariate image data is a field of research that is becoming increasingly important in a broad range of applications from remote sensing to medical imaging. While traditional scientific visualization techniques are often not suitable for the analysis of this kind of data, methods of image fusion have evolved as a promising approach for synergistic data integration. In this paper, a new approach for the analysis of multivariate image data by means of image fusion is presented, which employs topographic mapping techniques based on non-Euclidean geometry. The hyperbolic self-organizing map (HSOM) facilitates the exploration of high-dimensional data and provides an interface in the tradition of distortion-oriented presentation techniques. For the analysis of hidden patterns and spatial relationships, the HSOM gives rise to an intuitive and efficient framework for the dynamic visualization of multivariate image data by means of color. In an application, the hyperbolic data explorer (HyDE) is employed for the visualization of image data from dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI). Using 12 image sequences from breast cancer research, the method is introduced by different visual representations of the data and is also quantitatively analyzed. The HSOM is compared to different standard classifiers and evaluated with respect to topology preservation.
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Yahya, Arnasli, and Jenő Szirmai. "Visualization of Sphere and Horosphere Packings Related to Coxeter Tilings by Simply Truncated Orthoschemes with Parallel Faces." KoG, no. 25 (2021): 64–71. http://dx.doi.org/10.31896/k.25.7.

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In this paper we describe and visualize the densest ball and horoball packing configurations to the simply truncated 3-dimensional hyperbolic Coxeter orthoschemes with parallel faces, using the results of [24]. These beautiful packing arrangements describe and show the very interesting structure of the mentioned orthoschemes and the corresponding Coxeter reflection group. We use the Beltrami-Cayley-Klein ball model of 3-dimensional hyperbolic space H^3, the images were made by the Python programming language.
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Dissertations / Theses on the topic "Hyperbolic visualization"

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Lundgren, Andreas. "Implementing Service Model Visualizations : Utilizing Hyperbolic Tree Structures for Visualizing Service Models in Telecommunication Networks." Thesis, Umeå University, Department of Informatics, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-24618.

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<p>This paper describes the design, implementation and evaluation of HyperSALmon, a Java™ open source prototype for visualizing service models in telecommunication networks. For efficient browsing and graphical monitoring of service models using SALmon, a service modeling language and a monitoring engine (Leijon et al., 2008), some kind of interactive GUI that implements a visualization of the service model is desired. This is what HyperSALmon is intended to do. The prototype has been designed in accordance with suggestions derived from a current research report of visualization techniques (Sehlstedt, 2008) appropriate for displaying service model data. In addition to these suggestions domain experts at Data Ductus Nord AB has expressed an urge for implementation of further features, some of their suggestions are deduced from research documents (Leijon et al., 2008; Wallin and Leijon, 2007, 2006), while others have been stated orally in direct relation to the prototype implementation work. The main visualization proposal is to use tree structures. Thus, both traditional tree structures and hyperbolic tree structures have been utilized, where the main navigation is set to occur in the hyperbolic tree view. In order to contribute further to this report I provide a discussion addressing problems related to the context of implementing a prototype for service model visualization using open source frameworks that meets the requirements set by the service model network architecture, the domain experts and the suggestions in the research report (Sehlstedt, 2008,page 51-52). Finally, I will present drawn conclusions of the attempted prototype implementation, illustrating potential strengths and weaknesses and consequently introduce suggestions for possible improvement and further development.</p>
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Branko, Prentović. "Рачунар у настави аналитичке геометрије у гимназији". Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=90488&source=NDLTD&language=en.

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У Докторској дисертацији је извршена методичкa трансформација садржа-ја&nbsp; аналитичке&nbsp; геометрије,&nbsp; у&nbsp; наставном&nbsp; систему&ndash; настава&nbsp; уз&nbsp; помоћрачунара,&nbsp; адекватним&nbsp; избором&nbsp; садржаја,&nbsp; израдом&nbsp; одговарајућихгенеричких органи-затора уз коришћење образовног софтвераGeoGebra иMathematica. Обрађен је дидактички систем настава уз помоћ рачунара,анализом међусобне зависности фактора наставе, анализом дидактичкихпринципа,&nbsp; класификацијом&nbsp; и&nbsp; приказом&nbsp; наставних&nbsp; метода,&nbsp; уз&nbsp; подесноформиране&nbsp; генеричке&nbsp; организаторе.&nbsp; Експериментално&nbsp; истраживање&nbsp; јепотврдило могућност примене наставе уз помоћ рачунара, као и позитиванутицај на реализацију циљева и задатака, на укупан образовни учинак иподизање нивоа ефикасности савремене наставе.<br>U Doktorskoj disertaciji je izvršena metodička transformacija sadrža-ja&nbsp; analitičke&nbsp; geometrije,&nbsp; u&nbsp; nastavnom&nbsp; sistemu&ndash; nastava&nbsp; uz&nbsp; pomoćračunara,&nbsp; adekvatnim&nbsp; izborom&nbsp; sadržaja,&nbsp; izradom&nbsp; odgovarajućihgeneričkih organi-zatora uz korišćenje obrazovnog softveraGeoGebra iMathematica. Obrađen je didaktički sistem nastava uz pomoć računara,analizom međusobne zavisnosti faktora nastave, analizom didaktičkihprincipa,&nbsp; klasifikacijom&nbsp; i&nbsp; prikazom&nbsp; nastavnih&nbsp; metoda,&nbsp; uz&nbsp; podesnoformirane&nbsp; generičke&nbsp; organizatore.&nbsp; Eksperimentalno&nbsp; istraživanje&nbsp; jepotvrdilo mogućnost primene nastave uz pomoć računara, kao i pozitivanuticaj na realizaciju ciljeva i zadataka, na ukupan obrazovni učinak ipodizanje nivoa efikasnosti savremene nastave.<br>In this doctoral dissertation, methodical transformation of content analyticgeometry, is carried out, in the educational system - a computer-assistedteaching, by appropriate selection of content, making appropriate genericorganizers using educational software GeoGebra and Mathematica.Didactic teaching system, computer-assisted teaching, was processed, byanalyzing the factors of teaching and didactic principles, classification andpresentation of teaching methods, with the adequately created genericorganizers. Experimental research has confirmed the apossibility ofcomputer-assisted teaching, as well as a positive impact on the realizationof goals and tasks, on the overall educational impact and raising theefficiency of modern teaching.
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Ferreira, Luís António Alves. "Hyperbolic tree visualization on mobile devices." Master's thesis, 2009. http://hdl.handle.net/10216/57604.

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Ferreira, Luís António Alves. "Hyperbolic tree visualization on mobile devices." Dissertação, 2009. http://hdl.handle.net/10216/57604.

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Ontrup, Jörg [Verfasser]. "Semantic visualization with hyperbolic self-organizing maps : a novel approach for exploring structure in large data sets / Jörg Ontrup." 2008. http://d-nb.info/989562344/34.

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Book chapters on the topic "Hyperbolic visualization"

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Hausmann, Barbara, Britta Slopianka, and Hans-Peter Seidel. "Exploring Plane Hyperbolic Geometry." In Visualization and Mathematics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59195-2_2.

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Fomenko, A. T., and S. V. Matveev. "Computers and Visualization in Hyperbolic Three-Dimensional Geometry and Topology." In Topological Modeling for Visualization. Springer Japan, 1997. http://dx.doi.org/10.1007/978-4-431-66956-2_14.

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Faustino, Vera, Diana Pinho, Tomoko Yaginuma, et al. "Flow of Red Blood Cells Suspensions Through Hyperbolic Microcontractions." In Visualization and Simulation of Complex Flows in Biomedical Engineering. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7769-9_9.

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Hao, Ming C., Meichun Hsu, Umesh Dayal, and Adrian Krug. "Web-Based Visualization of Large Hierarchical Graphs Using Invisible Links in a Hyperbolic Space." In Advances in Visual Information Management. Springer US, 2000. http://dx.doi.org/10.1007/978-0-387-35504-7_6.

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Dávila Cordido, Mariolly. "Assessment of the Hyperbolic Paraboloids of the Church of the Holy Trinity, Caracas Through Architectural Visualization." In Advances in Design Engineering IV. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-51623-8_3.

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Molnár, Emil, and Jenő Szirmai. "Hyperbolic Space Forms with Crystallographic Applications and Visualizations." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95588-9_26.

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Caballero, Erick González. "“NeutroGeometry Laboratory”." In NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-4740-6.ch007.

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Mixed projective-affine-hyperbolic (MPAH) planes belong to both the branches of NeutroGeometries and mixed or Smarandache geometries. This kind of plane is a geometric structure containing a finite number of points. Some lines of the MPAH satisfy the axioms of projective planes, other lines satisfy the axioms of affine planes, and others satisfy the axioms of hyperbolic planes. Therefore, each of the axioms of parallelism is partially satisfied. This chapter describes version 1.0 of a new software called “NeutroGeometry Laboratory” coded in Python by the author that is used for the calculation and visualization related to MPAH planes. This software is easy to use by users once they know the theory of finite mixed projective-affine-hyperbolic planes, and particularly, it supports the study of this topic and finite planes in general.
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Conference papers on the topic "Hyperbolic visualization"

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Miller, Jacob, Stephen Kobourov, and Vahan Huroyan. "Browser-based Hyperbolic Visualization of Graphs." In 2022 IEEE 15th Pacific Visualization Symposium (PacificVis). IEEE, 2022. http://dx.doi.org/10.1109/pacificvis53943.2022.00016.

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Baumgartner, Jason, and Tim A. Waugh. "Roget2000: a 2D hyperbolic tree visualization of Roget's Thesaurus." In Electronic Imaging 2002, edited by Robert F. Erbacher, Philip C. Chen, Matti Groehn, Jonathan C. Roberts, and Craig M. Wittenbrink. SPIE, 2002. http://dx.doi.org/10.1117/12.458803.

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Goodenough, Adam A., Ariel Schlamm, Scott D. Brown, and David Messinger. "Interactive visualization of hyperspectral images on a hyperbolic disk." In SPIE Defense, Security, and Sensing, edited by Sylvia S. Shen and Paul E. Lewis. SPIE, 2011. http://dx.doi.org/10.1117/12.886927.

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Guo, Yunhui, Haoran Guo, and Stella X. Yu. "CO-SNE: Dimensionality Reduction and Visualization for Hyperbolic Data." In 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2022. http://dx.doi.org/10.1109/cvpr52688.2022.00011.

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Walter, Jörg A., and Helge Ritter. "On interactive visualization of high-dimensional data using the hyperbolic plane." In the eighth ACM SIGKDD international conference. ACM Press, 2002. http://dx.doi.org/10.1145/775047.775065.

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Bailey, Mike, and Nick Gebbie. "Accelerating the Hyperbolic Display of Complex 2D Scenes Using the GPU." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99477.

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Hyperbolic geometry is a useful visualization technique for displaying a large quantity of two dimensional data simultaneously. What distinguishes this technique is that one particular area can be displayed in full detail with all other areas displayed in lesser detail. In this way, the entire scene is still on the screen so that the entire set of relationships, as well as emergency indicators, can always be seen. But, because the hyperbolic transformation equation is non-linear, it cannot be placed in the standard graphics hardware 4x4 homogeneous matrix. Thus, using the hyperbolic transformation prevents full use of the graphics pipeline hardware, and drastically reduces interactive speed. This paper discusses a way to recoup this display performance by encoding the hyperbolic transform into an OpenGL vertex shader that resides on the graphics GPU hardware. In this way, the hyperbolic transform can still be used interactively, even for very complex 2D scenes.
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Bujack, Roxana. "Discussion and Visualization of Distinguished Hyperbolic Trajectories as a Generalization of Critical Points to 2D Time-dependent Flow." In 2022 Topological Data Analysis and Visualization (TopoInVis). IEEE, 2022. http://dx.doi.org/10.1109/topoinvis57755.2022.00013.

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Pidgayko, D., A. Samusev, I. Sinev, et al. "Visualization of isofrequency contours of guided modes in all-dielectric hyperbolic-like metasurface." In 2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials). IEEE, 2019. http://dx.doi.org/10.1109/metamaterials.2019.8900818.

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Maksimović, Miroslav, Marija Najdanović, Eugen Ljajko, and Nataša Kontrec. "Exploring Geometrical Content with ICTs: A Case Study on Infinitesimal Bending of a Hyperbolic Paraboloid." In Proceedings TIЕ 2024. University of Kragujevac, Faculty of Technical Sciences, Čačak, 2024. http://dx.doi.org/10.46793/tie24.140m.

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Information and Communication Technologies (ICTs) usage is of great importance in development of mathematics in general and geometry in particular. Software packages can, for instance, be helpful in differentiation and integration, as well as for solving complex numerical problems, which can be time-consuming if done without ICTs. Instruction of geometrical content at any level often requires usage of the content’s graphic representation. For that purpose, software packages for geometrical content visualization are used. Here we present an example where the computer usage in geometrical content exploration is shown. Visualization is especially important in the infinitesimal bending theory. In the paper we examine infinitesimal bending of a curve on the hyperbolic paraboloid and determine the infinitesimal bending field that leaves the bent curves on it. Since two such fields are obtained, we use Mathematica software package for representation of the curve and observe the impact both fields have on it. We also determine the bending field that leaves the curve on the hyperbolic paraboloid with a given precision.
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Qi, Yingxia, Yinong Wu, Hua Zhang, and Xi Chen. "Simulation of Deformation of Diaphragm Spring Grooved With Spiral Slits by FE Method." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86371.

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Flexible bearing system composed of diaphragm springs are a key component part of miniature Stirling cooler with linear motors. The stress distribution, the natural frequency, and visualization of the deformation of the diaphragm spring are investigated by finite Element method. From the calculation results of deformation pattern, it is confirmed that the calculation models and methods are appropriate. The stress calculation results reveal that the stress concentrations occur in some special parts of the diaphragm spring, such as root, and middle narrowest parts of the arms. The axial stiffness has the linear relation while the radial stiffness has the non-linear but hyperbolic relation with the disc thickness. The calculation results are in good agreement with the experimental results. The calculation results have been used to optimize the shapes of the diaphragm spring and manufacturing process.
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