Relevant bibliographies by topics / Lines configurations, intersection points

Contents

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

Academic literature on the topic 'Lines configurations, intersection points'

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Published: 24 April 2022

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Journal articles on the topic "Lines configurations, intersection points"

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Sabourin, Sindi. "Generalized k-Configurations." Canadian Journal of Mathematics 57, no. 2 (2005): 400–415. http://dx.doi.org/10.4153/cjm-2005-017-2.

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AbstractIn this paper, we find configurations of points in n-dimensional projective space (Pn) which simultaneously generalize both k-configurations and reduced 0-dimensional complete intersections. Recall that k-configurations in P2 are disjoint unions of distinct points on lines and in Pn are inductively disjoint unions of k-configurations on hyperplanes, subject to certain conditions. Furthermore, the Hilbert function of a k-configuration is determined from those of the smaller k-configurations. We call our generalized constructions kD-configurations, where D = {d1, … , dr} (a set of r posi
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Bauer, Thomas, Sandra Di Rocco, Brian Harbourne, Jack Huizenga, Alexandra Seceleanu, and Tomasz Szemberg. "Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants." International Mathematics Research Notices 2019, no. 24 (2018): 7459–514. http://dx.doi.org/10.1093/imrn/rnx329.

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Abstract The Klein and Wiman configurations are highly symmetric configurations of lines in the projective plane arising from complex reflection groups. One noteworthy property of these configurations is that all the singularities of the configuration have multiplicity at least 3. In this paper we study the surface X obtained by blowing up $\mathbb{P}^{2}$ in the singular points of one of these line configurations. We study invariant curves on X in detail, with a particular emphasis on curves of negative self-intersection. We use the representation theory of the stabilizers of the singular poi
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LAFACE, ROBERTO, and PIOTR POKORA. "LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES." Glasgow Mathematical Journal 62, no. 1 (2019): 123–35. http://dx.doi.org/10.1017/s0017089518000575.

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AbstractWe give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also study in detail configurations of lines on smooth complete intersections $X \subset \mathbb{P}_{\mathbb{C}}^{n + 2}$ of multi-degree d = (d1, …, dn), and we provide a sharp and uniform bound on their H-constants, which only depends on d.
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Kuwata, Takayasu, Hiroshi Maehara, and Horst Martini. "On equidistant lines of given line configurations." Georgian Mathematical Journal 26, no. 4 (2019): 561–72. http://dx.doi.org/10.1515/gmj-2019-2037.

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Abstract The equidistant set of a collection F of lines in 3-space is the set of those points whose distances to the lines in F are all equal. We present many examples and results related to the lines possibly contained in the equidistant set of F. In particular, we determine the possible numbers of lines in the equidistant set of a collection of n lines for every {n>0} . For example, if {n=3} , then the possible number of such lines is either 4 or 2 or 1 or 0. In a natural way, our results are connected with properties of special types of (ruled) surfaces. For example, we obtain also resul
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Green, Frederic. "Review of Forbidden Configurations in Discrete Geometry by David Eppstein." ACM SIGACT News 51, no. 4 (2020): 15–17. http://dx.doi.org/10.1145/3444815.3444820.

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In 1930, the mathematician Esther Klein observed that any five points in the plane in general position (i.e., no three points forming a line) contain four points forming a convex quadrilateral. This innocentsounding discovery led to major lines of research in discrete geometry. Klein's friends Paul Erdős and George Szekeres generalized this theorem, and also conjectured that 2k-2 + 1 points (again in general position) would be enough to force a convex k-gon to exist. The resolution of this conjecture became known as the "happy ending problem," because Klein and Szekeres ended up getting marrie
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Amram, Meirav, Moshe Cohen, and Mina Teicher. "Links arising from braid monodromy factorizations." Journal of Knot Theory and Its Ramifications 23, no. 02 (2014): 1450009. http://dx.doi.org/10.1142/s0218216514500096.

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We investigate the local contribution of the braid monodromy factorization in the context of the links obtained by the closure of these braids. We consider plane curves which are arrangements of lines and conics as well as some algebraic surfaces, where some of the former occur as local configurations in degenerated and regenerated surfaces in the latter. In particular, we focus on degenerations which involve intersection points of multiplicity two and three. We demonstrate when the same links arise even when the local arrangements are different.
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Bertin, Jose, and Pol Vanhaecke. "The even master system and generalized Kummer surfaces." Mathematical Proceedings of the Cambridge Philosophical Society 116, no. 1 (1994): 131–42. http://dx.doi.org/10.1017/s030500410007242x.

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AbstractIn this paper we study a generalized Kummer surface associated to the Jacobian of those complex algebraic curves of genus two which admit an automorphism of order three. Such a curve can always be written as y2 = x6 + 2kx3 + 1 and k2 ╪ 1 is the modular parameter. The automorphism extends linearly to an automorphism of the Jacobian and we show that this extension has a 94 invariant configuration, i.e. it has 9 fixed points and 9 invariant theta curves, each of these curves contains 4 fixed points and 4 invariant curves pass through each fixed point. The quotient of the Jacobian by this
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Végh, Attila. "On parallelotope configuration." Gradus 7, no. 3 (2020): 145–52. http://dx.doi.org/10.47833/2020.3.csc.002.

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The parallelotope P is a convex polytope which fills the spacefacet to facet by its translation copies without intersecting by in-ner points. A plane configuration is a system ofppoints andgstraight lines arranged in a plane in such a way that every pointof the system is incident with a fixed numberγof straight lines ofthe system and every straight line of the system is incident witha fixed numberπof points of the system. In this paper we exam-ine the connection of 3-dimensional parallelotopes and point-lineconfigurations in the plane and we generalize the concept of theconfiguration to descri
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Boben, Marko, Branko Grunbaum, Tomaz Pisanski, and Arjana Zitnik. "Small Triangle-Free Configurations of Points and Lines." Discrete & Computational Geometry 35, no. 3 (2006): 405–27. http://dx.doi.org/10.1007/s00454-005-1224-9.

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Elkies, Noam D. "On some points-and-lines problems and configurations." Periodica Mathematica Hungarica 53, no. 1-2 (2006): 133–48. http://dx.doi.org/10.1007/s10998-006-0027-y.

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Dissertations / Theses on the topic "Lines configurations, intersection points"

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Spíndola, Flausino Lucas Neves. "Bifurcação de pontos axiumbílicos e ciclos axiais de superfícies imersas em R4." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-25012016-153923/.

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O objetivo deste trabalho é descrever a estrutura das linhas axiais principais e médias de imersões de superfícies em R4 na vizinhança de pontos axiumbílicos. Pontos axiumbílicos são aqueles nos quais a elipse de curvatura se degenera em um círculo. Estudamos a perturbação dos ciclos axiais principais, e obtemos resultados sobre a genericidade dos ciclos axiais principais hiperbólicos e semi-hiperbólicos.<br>The aim of this work is to describe the structure of principal and mean axial lines of immersions of surfaces into R4, close to axiumbilic points. Axiumbilic points are those which the ell
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Huang, Jez-Fang, and 黃志芳. "Conics: Their Common Tangent Lines, Intersection Points, and Foci." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/60839228778421466366.

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碩士<br>國立清華大學<br>數學系<br>87<br>In this paper, we discuss properties of conics, their common tangent lines, intersection points, and foci. We also discuss the possibility of the construction of their common tangent lines, intersection points, and foci by means of ruler and compass.
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Li, Hong-Chun, and 李宏君. "Extraction of Intersection Points of Road Marking Lines from Airborne LiDAR Reflectance Data." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/64128012665636332225.

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碩士<br>國立成功大學<br>測量及空間資訊學系碩博士班<br>96<br>Recently, the issue of integrating airborne LiDAR and aerial photogrammetry has been in academic and industrial spotlight, because both technologies have their unique characteristics respectively and some advantages of airborne LiDAR can compensate for shortcomings of aerial photogrammetry, and vice versa. An absolute prerequisite for combining both data sets is to establish a common reference frame. The main objective of this study is to utilize the point features in LiDAR point cloud and aerial image to determine external orientation of aerial images de
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Luo, Jian-Ming, and 羅建明. "The Numbers of Areas, Segments and Intersection Points determined by n straight Lines in the Plane." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/15968223939741426595.

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Huang, Chien-Chung, and 黃建中. "A Study on Reconstructing Control Points in Digital Cadastral Area by Using Intersection of Building Boundary Lines." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/76466499075259478140.

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Books on the topic "Lines configurations, intersection points"

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Configurations of points and lines. American Mathematical Society, 2009.

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Tretkoff, Paula. Complex Surfaces and Coverings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0004.

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This chapter deals with complex surfaces and their finite coverings branched along divisors, that is, subvarieties of codimension 1. In particular, it considers coverings branched over transversally intersecting divisors. Applying this to linear arrangements in the complex projective plane, the chapter first blows up the projective plane at non-transverse intersection points, that is, at those points of the arrangement where more than two lines intersect. These points are called singular points of the arrangement. This gives rise to a complex surface and transversely intersecting divisors that
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Tretkoff, Paula. Line Arrangements in P2(C) and Their Finite Covers. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0006.

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This chapter discusses the free 2-ball quotients arising as finite covers of the projective plane branched along line arrangements. It first considers a surface X obtained by blowing up the singular intersection points of a linear arrangement in the complex projective plane, as well as a smooth compact complex surface Y that is a finite covering of X. If Y is of general type with vanishing proportionality deviation, then it is a free 2-ball quotient. The chapter then looks at line arrangements that have equal ramification indices along each of the proper transforms of the original lines, along
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Book chapters on the topic "Lines configurations, intersection points"

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Schwartz, Richard Evan. "Properties of the Model." In The Plaid Model. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691181387.003.0003.

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This chapter derives some basic properties of the plaid model. It is organized as follows. Section 2.2 deals with the symmetries of the plaid model. First, it deals with the unoriented model and then considers the oriented model. Section 2.3 proves the technical lemma that each unit integer segment contains exactly two intersection points. The work in this section reveals the nice geometric way that the slanting lines intersect each unit integer square. Section 2.4 establishes the following result: Within each block, there are exactly two lines of capacity k for each even k ɛ [0, ω‎]. Moreover, within the block, each line of capacity k has exactly k light points on it (when double points are appropriately counted). Section 2.5 establishes a subtle additional symmetry of the plaid model.
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Santos Mateos, Roi, Xose M. Pardo, and Xose R. Fdez-Vidal. "Build 3D Abstractions with Wireframes." In Applications of Pattern Recognition. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96141.

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This chapter serves as an introduction to 3D representations of scenes or Structure From Motion (SfM) from straight line segments. Lines are frequently found in captures of man-made environments, and in nature are mixed with more organic shapes. The inclusion of straight lines in 3D representations provide structural information about the captured shapes and their limits, such as the intersection of planar structures. Line based SfM methods are not frequent in the literature due to the difficulty of detecting them reliably, their morphological changes under changes of perspective and the challenges inherent to finding correspondences of segments in images between the different views. Additionally, compared to points, lines add the dimensionalities carried by the line directions and lengths, which prevents the epipolar constraint to be valid along a straight line segment between two different views. This chapter introduces the geometrical relations which have to be exploited for SfM sketch or abstraction based on line segments, the optimization methods for its optimization, and how to compare the experimental results with Ground-Truth measurements.
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Wallsten, Kevin, and Dilyana Toteva. "Homophily and Online Politics." In Encyclopedia of Mobile Phone Behavior. IGI Global, 2015. http://dx.doi.org/10.4018/978-1-4666-8239-9.ch078.

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The expansion of the Internet and the sudden popularity of Web 2.0 applications, such as blogs, YouTube, Twitter, and Facebook, raise important questions about the extent and consequences of homophilous sorting in online political discussions. In particular, there is growing concern that Internet users' ability to filter out alternative points of view will lead political discourse to become more polarized and fragmented along ideological lines. The decline of deliberative democracy and the breakdown of America's system of representative government, the story goes, will be the inevitable causalities of political discussions moving from in-person to online. Unfortunately, the empirical research in fields such as mass communication, political science, and sociology provides no hard and fast conclusions about the amount of online homophily in political discussions. This article details this conflicted body of research and points to some areas where future research may provide more insight into the intersection of online politics and homophilous sorting.
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Grimm, Jannis Julien. "Introduction." In Contested Legitimacies. Amsterdam University Press, 2022. http://dx.doi.org/10.5117/9789463722650_ch01.

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The Arab Spring left a deep imprint on Middle Eastern and North African societies, but also on social movement scholarship. In particular, three lines of inquiry provide vantage points for investigating protest in the region today: critical approaches that avoid the structuralist bias of early analyses of the Arab Spring and, instead, focus on the imaginative terrain of social protest; constructivist approaches that retrace how political subjectivation processes enabled innovative revolutionary alliances; and relational approaches that investigate the interactions between different players during the 2011 uprisings. This book is situated at the intersection of these strands of literature. It is an attempt to map contentious politics in post-revolutionary Egypt and show how different social arenas, street politics, and the politics of signification, interrelated, and informed the country’s transition.
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Gold, Ann Grodzins. "Discrepant Ecologies in a North Indian Qasba." In Places of Nature in Ecologies of Urbanism. Hong Kong University Press, 2017. http://dx.doi.org/10.5790/hongkong/9789888390595.003.0009.

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Ethnographic fieldwork in the municipality of Jahazpur, a market town and sub-district headquarters in North India, reveals contrasting roles of religiosity and identity in environmental protection. Hilltop shrines, one Hindu and one Muslim, are surrounded by successfully sustained groves. Each shrine belongs to a distinct and demographically significant group with political clout. Vigilant devotees as much as fear of divine retribution effectively protect shrine environments from wood-hungry neighbors. The Nagdi River had offered both utility and beauty to the entire population, but its flow dwindled, choked on trash and sewage. Aware that an important part of shared environmental and cultural heritage was in dire peril, Jahazpur residents and local government made sporadic efforts to mobilize restoration, but it proved discouraging to sustain alignments across community and class. Recently, however, young shopkeepers collaborating across lines of difference have partially reversed the river's deterioration. Comparing discrepant ecological pasts and present of Jahazpur's hilltops and river shows diverse and shifting configurations at the emotional and volatile intersection of religion, politics and urban environments.
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Schneider, Markus. "Soft Computing Techniques in Spatial Databases." In Soft Computing Applications for Database Technologies. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-814-7.ch004.

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Spatial database systems and geographical information systems are currently only able to support geographical applications that deal with only crisp spatial objects, that is, objects whose extent, shape, and boundary are precisely determined. Examples are land parcels, school districts, and state territories. However, many new, emerging applications are interested in modeling and processing geographic data that are inherently characterized by spatial vagueness or spatial indeterminacy. Examples are air polluted areas, temperature zones, and lakes. These applications require novel concepts due to the lack of adequate approaches and systems. In this chapter, the authors show how soft computing techniques can provide a solution to this problem. They give an overview of two type systems or algebras that can be integrated into database systems and utilized for the modeling and handling of spatial vagueness. The first type system, called Vague Spatial Algebra (VASA), is based on well known, general, and exact models of crisp spatial data types and introduces vague points, vague lines, and vague regions. This enables an exact definition of the vague spatial data model since we can build it upon an already existing theory of spatial data types. The second type system, called Fuzzy Spatial Algebra (FUSA), leverages fuzzy set theory and fuzzy topology and introduces novel fuzzy spatial data types for fuzzy points, fuzzy lines, and fuzzy regions. This enables an even more fine-grained modeling of spatial objects that do not have sharp boundaries and interiors or whose boundaries and interiors cannot be precisely determined. This chapter provides a formal definition of the structure and semantics of both type systems. Further, the authors introduce spatial set operations for both algebras and obtain vague and fuzzy versions of geometric intersection, union, and difference. Finally, they describe how these data types can be embedded into extensible databases and show some example queries.
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Shimojima, Atsushi. "Operational Constraints in Diagrammatic Reasoning." In Logical Reasoning with Diagrams. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195104271.003.0006.

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Diagrammatic reasoning is reasoning whose task is partially taken over by operations on diagrams. It consists of two kinds of activities: (i) physical operations, such as drawing and erasing lines, curves, figures, patterns, symbols, through which diagrams come to encode new information (or discard old information), and (ii) extractions of information diagrams, such as interpreting Venn diagrams, statistical graphs, and geographical maps. Given particular tasks of reasoning, different types of diagrams show different degrees of suitedness. For example, Euler diagrams are superior in handling certain problems concerning inclusion and membership among classes and individuals, but they cannot be generally applied to such problems without special provisos. Diagrams make many proofs in geometry shorter and more intuitive, while they take certain precautions of the reasoner’s to be used validly. Tables with particular configurations are better suited than other tables to reason about the train schedule of a station. Different types of geographical maps support different tasks of reasoning about a single mountain area. Mathematicians experience that coming up with the “right” sorts of diagrams is more than half-way to the solution of most complicated problems. Perhaps many of these phenomena are explained with reference to aspect (ii) of diagrammatic reasoning because some types of diagrams lets a reasoner retrieve a kind of information that others do not. or lets the reasoner retrieve it more “easily” than others. In fact, this is the approach that psychologists have traditionally taken. In this chapter, we take a different path and focus on aspect (i) of diagrammatic reasoning. Namely, we look closely at the process in which a reasoner applies operations to diagrams and in which diagrams come to encode new information through these operations. It seems that this process is different in some crucial points from one type of diagrams to another, and that these differences partially explain why some types of diagrams are better suited than others to particular tasks of reasoning.
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Conference papers on the topic "Lines configurations, intersection points"

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Rigby, David. "TopMaker: A Technique for Automatic Multi-Block Topology Generation Using the Medial Axis." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45527.

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A two-dimensional multi-block topology generation technique has been developed. Very general configurations are addressable by the technique. A configuration is defined by a collection of non-intersecting closed curves, which will be referred to as loops. More than a single loop implies that holes exist in the domain, which poses no problem. This technique requires only the medial vertices and the touch points that define each vertex. From the information about the medial vertices, the connectivity between medial vertices is generated. The physical shape of the medial edge is not required. By
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Malik, Aamir Saeed, and Tae-Sun Choi. "Finding best focused points using intersection of two lines." In 2008 15th IEEE International Conference on Image Processing. IEEE, 2008. http://dx.doi.org/10.1109/icip.2008.4712164.

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Avetisyan, Maneh. "Universal dimensions of simple Lie algebras and configurations of points and lines." In RDP online workshop "Recent Advances in Mathematical Physics". Sissa Medialab, 2021. http://dx.doi.org/10.22323/1.394.0005.

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Turanboy, A., E. Ülker, and C. Küçüksütcü. "A modeling study of intersection lines and points as an assessing instability of rock mass." In The 2016 Isrm International Symposium, Eurock 2016. CRC Press, 2016. http://dx.doi.org/10.1201/9781315388502-99.

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Mossakowski, Till, and Reinhard Moratz. "Relations Between Spatial Calculi About Directions and Orientations (Extended Abstract)." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/718.

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A qualitative representation of space and/or time provides mechanisms which characterize the essential properties of objects or configurations. The advantages over quantitative representations can be: (1) a better match with human concepts related to natural language, and (2) better efficiency for reasoning. The two main trends in qualitative spatial constraint reasoning are topological reasoning about regions and reasoning about directions between points and straight lines and orientations of straight lines or configurations derived from points. In this work, we apply universal algebraic tool
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Peng, Xiaobo, and Derek Yip-Hoi. "R*-Tree Localization for Polyhedral Model Based Cutter/Workpiece Engagements Calculations in Milling." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34367.

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Process modeling requires the calculation of cutter/workpiece engagement (CWE) geometry, which is especially challenging when the geometry of the workpiece is changing un-predictably. Polyhedral models have a simple geometric complexity, independent of the complexity of the workpiece shape. This paper presents a polyhedral model based CWE calculation method, which is both stable and robust as numerical calculations are avoided because of the simplicity of the model geometry. To reduce the amount of data and calculations, the proposed method works on removal volumes instead of in-process workpi
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Kim, Mungyu, Youngrae Kim, Minseok Kim, et al. "Advanced Liquefaction Cycle for Natural Gas." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77236.

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This paper presents a LNG Liquefaction cycle configuration using two stages of methane expansion and a single stage of nitrogen expansion (Dual Refrigerant) to improve the efficiency of the conventional methane and nitrogen refrigerant expansion cycle (Niche Cycle). The chosen configuration further optimizes the composite cooling and heating curve of the liquefaction cycle, resulting in a higher thermodynamic efficiency. The production efficiency of the liquefaction cycle can be improved by reducing the interval between the cooling curve of the natural gas and the warming curve of the refriger
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Nakada, Yusuke, Yota Fujieda, Taisei Mori, et al. "On a Stiffness Model for Origami Folding." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46731.

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An evaluation method for stiffness of origami folding is proposed. As a simple idea to evaluate the stiffness, we may consider a sheet of paper as a rectangular board, and evaluate its elastic deformation. However, when we apply this simple idea to folding of a folded sheet of paper, it contradicts the results of a questionnaire survey. We investigate more details of folding motion of origami, and give a hypothesis that the stiffness of folding motion comes from the intersection points of crease lines, where is the toughest points to fold. Our proposed evaluation method is consistent with the
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Baroon, Jasem, and Bahram Ravani. "A Three-Dimensional Generalization of Instant Center Method Using Line Geometry." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35053.

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For a planar motion of a body, there exists an instantaneous center of zero velocity or what is known as the centrode. In three-dimensions, the same is represented by the instantaneous screw axis. In two dimensions, however, there is a geometric method of construction the instant center by using the velocity vectors of two points of the body. The instant center is the point of intersection of the lines perpendicular to the two velocity vectors. This type of construction, however, did not exist for the instantaneous screw axis. In this paper, we present such a geometric construction for the ins
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Herder, Just L., and Arend L. Schwab. "On Dynamically Equivalent Force Systems and Their Application to the Balancing of a Broom or the Stability of a Shoe Box." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57188.

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The stability of a rigid body on which two forces are in equilibrium can be assessed intuitively. In more complex cases this is no longer true. This paper presents a general method to assess the stability of complex force systems, based on the notion of dynamic equivalence. A resultant force is considered dynamically equivalent to a given system of forces acting on a rigid body if the contributions to the stability of the body of both force systems are equal. It is shown that the dynamically equivalent resultant force of two given constant forces applies at the intersection of its line of acti
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