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Relevant bibliographies by topics / Geometry, Descriptive. Geometry, Projective

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Academic literature on the topic 'Geometry, Descriptive. Geometry, Projective'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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Journal articles on the topic "Geometry, Descriptive. Geometry, Projective"

1

Сальков and Nikolay Sal'kov. "Gaspard Monge’s Descriptive Geometry Course." Geometry & Graphics 1, no. 3 (December 3, 2013): 52–56. http://dx.doi.org/10.12737/2135.

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The structure of course of lectures, proposed by Gaspard Monge in the late 18th century, is considered in detail. Monge foresees 120 lectures for descriptive geometry. The main course, without shadows and perspective, is divided into 5 sections, each of which is devoted to a certain themes. In the first section the projections deriving is described, and two main goals are given. Here we face with the notion of geometric locus, elements of differential and projective geometries. The second section considers the tangent planes and normals. These elements’ use in painting and building are demonstrated. The third section has been devoted to the theory related to construction of curved surfaces intersections. The solution of tasks has been considered in the fourth section. The fifth section has been devoted to the curved lines. Gaspard Monge proposes the developed course of descriptive geometry not as a set of interesting geometric tasks, but as a solution of specific application tasks inherent to the industry, building, art, and military science.

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Bellone, T., F. Fiermonte, and L. Mussio. "THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-5/W1 (May 16, 2017): 623–30. http://dx.doi.org/10.5194/isprs-archives-xlii-5-w1-623-2017.

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Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are aesthetically appropriate. Sometimes it is geometry which drives architectural choices, but at other times it is architectural innovation which facilitates the emergence of new ideas in geometry. <br><br> Among the best known types of geometry (Euclidean, projective, analytical, Topology, descriptive, fractal,…) those most frequently employed in architectural design are: <br> &ndash; Euclidean Geometry <br> &ndash; Projective Geometry <br> &ndash; The non-Euclidean geometries. <br><br> Entire architectural periods are linked to specific types of geometry. <br><br> Euclidean geometry, for example, was the basis for architectural styles from Antiquity through to the Romanesque period. Perspective and Projective geometry, for their part, were important from the Gothic period through the Renaissance and into the Baroque and Neo-classical eras, while non-Euclidean geometries characterize modern architecture.

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ZHANG, R. B., and XIAO ZHANG. "PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES." Reviews in Mathematical Physics 22, no. 05 (June 2010): 507–31. http://dx.doi.org/10.1142/s0129055x10004028.

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An algebraic formulation is given for the embedded noncommutative spaces over the Moyal algebra developed in a geometric framework in [8]. We explicitly construct the projective modules corresponding to the tangent bundles of the embedded noncommutative spaces, and recover from this algebraic formulation the metric, Levi–Civita connection and related curvatures, which were introduced geometrically in [8]. Transformation rules for connections and curvatures under general coordinate changes are given. A bar involution on the Moyal algebra is discovered, and its consequences on the noncommutative differential geometry are described.

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Афонина, Елена, and Elena Afonina. "Technique of algorithmic approach when training in graphic disciplines." Bulletin of Bryansk state technical university 2014, no. 2 (June 30, 2014): 161–65. http://dx.doi.org/10.12737/23285.

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Advantages and shortcomings of algorithmic approach are considered at the solution of problems of descriptive geometry and engineering graphics. application of algorithmic approach when studying one of subjects of engineering graphics – "projective drawing" is analyzed. some recommendations about improvement of quality of training of specialists on the basis of experience of "descriptive geometry and graphics" chair of bgtu are provided

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Ho, Pei-Ming. "Riemannian Geometry on Quantum Spaces." International Journal of Modern Physics A 12, no. 05 (February 20, 1997): 923–43. http://dx.doi.org/10.1142/s0217751x97000694.

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An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.

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Сальков and Nikolay Sal'kov. "Descriptive Geometry — the Base of Computer Graphics." Geometry & Graphics 4, no. 2 (June 18, 2016): 37–47. http://dx.doi.org/10.12737/19832.

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Everyone knows that descriptive geometry is a science, but there is no definition of the computer graphics. If computer graphics is announced as a science, you can continue to call descriptive geometry outdated and to demand of its abolition. But if the computer graphics has nothing to do with the science, and if it is only a tool to perform the procedures of descriptive geometry and other branches of geometry, everyone who tried to discredit descriptive geometry, will be in a difficult position: they will have nothing more to say, because in it is unwise to replace science on tool. It is known that engineering graphics so far does not have the status of science. It is a discipline that fully applies the laws of other geometrical sciences. There are many questions such as: why are there claims that descriptive geometry is 2D? Why do some specialists claim that descriptive geometry is a projection on a single plane? They forgot that descriptive geometry uses the method of two images or method of two traces. But this method of two images is used everywhere! On the first lecture we tell students: the projection is carried out on two planes of projection, a point in space can be fixed only by means of three coordinates and the point must have at least two projections. It means, that descriptive geometry works with three coordinates, in other words — in 3D. The image produced on the display screen in the so-called 3D, is neither more nor less than axonometric projection on the plane — appropriate section of descriptive geometry. In conclusion, the author offers to classify the computer graphics as a tool for the experience of all branches of geometrical science, but not as a free-standing science.

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Сальков and Nikolay Sal'kov. "Descriptive Geometry As Theory of Images." Geometry & Graphics 4, no. 4 (December 19, 2016): 41–47. http://dx.doi.org/10.12737/22842.

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In April 2016 at the All-Russian seminar "Geometry and Graphics", dedicated to the 125th anniversary of the birth of Glazunov Yevgeny Alexandrovich on a replica of one of the N.A. Salkov paper authors that descriptive geometry is the theory of images, the speaker somehow ambiguously stated that it is not quite so. How, in his opinion, was the case, he did not wish to disclose. Moreover, some graphic disciplines teachers believe descriptive geometry unworthy of study because some of them only known causes. They do not understand that descriptive geometry is the theory of images, and images are everywhere, right down to the computer screen. There is no such area of the human labor application where this or that image wouldn´t be applied. Images are ubiquitous! That is why descriptive geometry as a theory of images should be studied not only in the artistic and technical high educational institutions, but in all ones of Russia. In proposed paper there are numerous examples of the classics (and not only of them), expressed oneself on a subject of descriptive geometry. All statements (of Gaspard Monge, academician N.F. Chetverukhin, professors A.I. Dobryakov, E.A. Glazunov, V.O. Gordon, G.S. Ivanov, S.M. Kolotov, V.A. Peklich, N.A. Rynin, S.A. Frolov, etc.) are reduced to one and the same: a projection is an image, and descriptive geometry is the theory of images. A diagram showing that descriptive geometry’s interest area includes not only drawing, but also thirteen other sections, has been presented.

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Иванов, Gennadiy Ivanov, Дмитриева, and I. Dmitrieva. "The Nonlinear Forms in Engineering Geometry." Geometry & Graphics 5, no. 2 (July 4, 2017): 4–12. http://dx.doi.org/10.12737/article_5953f295744f77.58727642.

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The introduction of the methodology of a competence approach in teaching the courses of departments of engineering graphics, as shows the experience of a number of technical universities of Russia, occurs according to some template. If in 70–80 years the last century the Departments was the routing of the teaching subject with the indication providing, and provide discipline then currently are talking about interdisciplinary competences. In this case, interdisciplinary competence on engineering and computer graphics define the departments. The wording of the intrasubject competencies reduced to define the topics of descriptive geometry necessary for the study of the fundamentals of engineering graphics (geometrical and projection drawing, the cutting line and the intersection of simple surfaces). In the end, the important topics of descriptive geometry (basic concepts of the theory of curves and surfaces, sweep, tangent planes, axonometric etc.) that have practical value, are excluded from the syllabus. This greatly affects the quality overall geometric training of students of technical universities with based on the level of teaching geometry in high school. In our opinion, the way out of the situation is in consistent, purposeful transformation the descriptive geometry in the engineering geometry without radical distortions. In this regard, the present article is devoted to the presentation some issues in the theory of nonlinear forms in engineering geometry. The proposed approach will enhance the practical value of our discipline due to the expansion of cross-curricular competencies with related sections of higher mathematics, CAD, etc.

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Иванов and G. Ivanov. "Previous History and Background of Transformation of the Descriptive Geometry in the Engineering Geometry." Geometry & Graphics 4, no. 2 (June 18, 2016): 29–36. http://dx.doi.org/10.12737/19830.

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In the past decade is widely discussed the problem of geometric and graphic training of students of technical universities in Russia. In 1980-2005 arose contradictions between traditional and innovative methods of teaching for descriptive geometry and engineering graphics. This marked the article Professor P.A. Tunakov, in which descriptive geometry was carried to a dying science. This radical statement in subsequent years was supported by V.A. Rukavishnikov [15; 16] and A.L. Kheifets. An additional impetus to discussions was given by the developers of the Federal state educational standards of higher education (FSES), which declared the competence approach to the process of learning and evaluation of knowledge of graduates. Introduction in educational process of computer graphics and the appearance of technologies of 3D modeling prompted some representatives of the departments of engineering graphics towards the radical statements: • descriptive geometry as a graphic discipline became "moribund", "morally obsolete"; • it is necessary to refuse from the method of projection, as "fundamentally important is a matter of conformity to the dimension of the three-dimensional computer model and the modeled object". The article proves the incorrectness of these statements. History and background of transformation of the descriptive geometry in the engineering geometry are shown: 1) references to the dynamics of change subjects of presentations at the Moscow seminars on descriptive geometry and on engineering graphics during 1944–1965; the themes of dissertations on the specialty 05.01.01 engineering geometry and computer graphics (up to 1977 – applied geometry and engineering graphics); 2) the requirements of competence-based learning model to establish: • intrasubject links (combination of synthetics and analytical methods of problem solving); • interdisciplinary connections by expanding the subject of the discipline of the multidimensional shapes; 3) the incorrectness of opposing the "by the radicals" of 2D and 3D models, for they are complementary the types of modeling single method of two images.

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Sal'kov, N., and Nina Kadykova. "The Phenomenon of Descriptive Geometry Existence in Other Student Courses." Geometry & Graphics 8, no. 4 (March 4, 2021): 61–73. http://dx.doi.org/10.12737/2308-4898-2021-8-4-61-73.

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Among specialists prevails the primitive view, according to Prof. G.S. Ivanov, on descriptive geometry only as on a "grammar of a technical language", as it characterized V.I. Kurdyumov in the XIX Century. If in the century before last his definition was actual, although many contemporaries had a different opinion, then a century and a half later this definition became outdated, especially since have been revealed the close relationships of descriptive geometry with related sections: analytical, parametric, differential geometry, etc., and descriptive geometry became an applied mathematical science. In this paper it has been shown that an image is obtained as a result of display (projection). In this connection, according to prof. N.A. Sobolev, "All visual images – documentary, geometrographic, and creative ones – are formed on the projection principle". In other words, they belong, in essence, to descriptive geometry. Thus, all made by hand creative images – drawings, paintings, sculptures – can be attributed with great confidence to descriptive geometry as a theory of images. These creative images, of course, have a non-obvious projection origin, nevertheless, according to Prof. N.A. Sobolev, "They, including the most abstract fantasies, are essentially the projection ones". Further in the paper it has been shown which disciplines apply some or other of graphic models, and has been considered a number of drawings belonging to different textbooks, in which graphic models are present. Thus, clearly, and also referring to the authorities in the area of images and descriptive geometry, it has been proved that each of the mentioned textbooks has a direct or indirect connection with descriptive geometry, and descriptive geometry itself is present in all textbooks, at least, in the technical and medical ones.

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Dissertations / Theses on the topic "Geometry, Descriptive. Geometry, Projective"

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Winroth, Harald. "Dynamic projective geometry." Doctoral thesis, Stockholm : Tekniska högsk, 1999. http://www.lib.kth.se/abs99/winr0324.pdf.

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Wong, Tzu Yen. "Image transition techniques using projective geometry." University of Western Australia. School of Computer Science and Software Engineering, 2009. http://theses.library.uwa.edu.au/adt-WU2009.0149.

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[Truncated abstract] Image transition effects are commonly used on television and human computer interfaces. The transition between images creates a perception of continuity which has aesthetic value in special effects and practical value in visualisation. The work in this thesis demonstrates that better image transition effects are obtained by incorporating properties of projective geometry into image transition algorithms. Current state-of-the-art techniques can be classified into two main categories namely shape interpolation and warp generation. Many shape interpolation algorithms aim to preserve rigidity but none preserve it with perspective effects. Most warp generation techniques focus on smoothness and lack the rigidity of perspective mapping. The affine transformation, a commonly used mapping between triangular patches, is rigid but not able to model perspective effects. Image transition techniques from the view interpolation community are effective in creating transitions with the correct perspective effect, however, those techniques usually require more feature points and algorithms of higher complexity. The motivation of this thesis is to enable different views of a planar surface to be interpolated with an appropriate perspective effect. The projective geometric relationship which produces the perspective effect can be specified by two quadrilaterals. This problem is equivalent to finding a perspectively appropriate interpolation for projective transformation matrices. I present two algorithms that enable smooth perspective transition between planar surfaces. The algorithms only require four point correspondences on two input images. ...The second algorithm generates transitions between shapes that lie on the same plane which exhibits a strong perspective effect. It recovers the perspective transformation which produces the perspective effect and constrains the transition so that the in-between shapes also lie on the same plane. For general image pairs with multiple quadrilateral patches, I present a novel algorithm that is transitionally symmetrical and exhibits good rigidity. The use of quadrilaterals, rather than triangles, allows an image to be represented by a small number of primitives. This algorithm uses a closed form force equilibrium scheme to correct the misalignment of the multiple transitional quadrilaterals. I also present an application for my quadrilateral interpolation algorithm in Seitz and Dyer's view morphing technique. This application automates and improves the calculation of the reprojection homography in the postwarping stage of their technique. Finally I unify different image transition research areas into a common framework, this enables analysis and comparison of the techniques and the quality of their results. I highlight that quantitative measures can greatly facilitate the comparisons among different techniques and present a quantitative measure based on epipolar geometry. This novel quantitative measure enables the quality of transitions between images of a scene from different viewpoints to be quantified by its estimated camera path.

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Romano, Raquel Andrea. "Projective minimal analysis of camera geometry." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/29231.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2002.
Includes bibliographical references (p. 115-120).
This thesis addresses the general problem of how to find globally consistent and accurate estimates of multiple-view camera geometry from uncalibrated imagery of an extended scene. After decades of study, the classic problem of recovering camera motion from image correspondences remains an active area of research. This is due to the practical difficulties of estimating many interacting camera parameters under a variety of unknown imaging conditions. Projective geometry offers a useful framework for analyzing uncalibrated imagery. However, the associated multilinear models-the fundamental matrix and trifocal tensorare redundant in that they allow a camera configuration to vary along many more degrees of freedom than are geometrically admissible. This thesis presents a novel, minimal projective model of uncalibrated view triplets in terms of the dependent epipolar geometries among view pairs. By explicitly modeling the trifocal constraints among projective bifocal parameters-the epipoles and epipolar collineations-this model guarantees a solution that lies in the valid space of projective camera configurations. We present a nonlinear incremental algorithm for fitting the trifocally constrained epipolar geometries to observed image point matches. The minimal trifocal model is a practical alternative to the trifocal tensor for commonly found image sequences in which the availability of matched point pairs varies widely among different view pairs. Experimental results on synthetic and real image sequences with typical asymmetries in view overlap demonstrate the improved accuracy of the new trifocally constrained model.
(cont.) We provide an analysis of the objective function surface in the projective parameter space and examine cases in which the projective parameterization is sensitive to the Euclidean camera configuration. Finally, we present a new, numerically stable method for minimally parameterizing the epipolar geometry that gives improved estimates of minimal projective representations.
by Raquel A. Romano.
Ph.D.

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Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model is proposed in such a way that spontaneous symmetry breaking and the Bogomolny argument still hold. The Painlevé test, when applied to its soliton equations, reveals a complete list of its integrable cases. The corresponding solutions are given in terms of third Painlevé transcendents and can be interpreted as original vortices on surfaces with conical singularity. The last two chapters present the following results in projective differential geometry and Hamiltonians of hydrodynamic-type systems. It is shown that the projective structures defined by the Painlevé equations are not metrisable unless either the corresponding equations admit first integrals quadratic in first derivatives or they define projectively flat structures. The corresponding first integrals can be derived from Killing vectors associated to the metrics that solve the metrisability problem. Secondly, it is given a complete set of necessary and sufficient conditions for an arbitrary affine connection in 2D to admit, locally, 0, 1, 2 or 3 Killing forms. These conditions are tensorial and simpler than the ones in previous literature. By defining suitable affine connections, it is shown that the problem of existence of Killing forms is equivalent to the conditions of the existence of Hamiltonian structures for hydrodynamic-type systems of two components.

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Marino, Nicholas John. "Vector Bundles and Projective Varieties." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1544457943307018.

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Beardsley, Paul Anthony. "Applications of projective geometry to robot vision." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316854.

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O'Keefe, Christine M. "Concerning t-spreads of PG ((s + 1) (t + 1)- 1, q)." Title page, contents and summary only, 1987. http://web4.library.adelaide.edu.au/theses/09PH/09pho41.pdf.

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Ellis, Amanda. "Classification of conics in the tropical projective plane /." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd1104.pdf.

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McCallum, Rupert Gordon Mathematics &amp Statistics Faculty of Science UNSW. "Generalisations of the fundamental theorem of projective geometry." Publisher:University of New South Wales. Mathematics & Statistics, 2009. http://handle.unsw.edu.au/1959.4/43385.

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The fundamental theorem of projective geometry states that a mapping from a projective space to itself whose range has a sufficient number of points in general position is a projective transformation possibly combined with a self-homomorphism of the underlying field. We obtain generalisations of this in many directions, dealing with the case where the mapping is only defined on an open subset of the underlying space, or a subset of positive measure, and dealing with many different spaces over many different rings.

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Herman, Ivan. "The use of projective geometry in computer graphics /." Berlin ;Heidelberg ;New York ;London ;Paris ;Tokyo ;Hong Kong ;Barcelona ;Budapest : Springer, 1992. http://www.loc.gov/catdir/enhancements/fy0815/91043253-d.html.

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Books on the topic "Geometry, Descriptive. Geometry, Projective"

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Sheeter, Sean. The infinity problem, projective geometry and its regional subgeometries. Edited by Kierstead Terrence. Berkeley: Process Press, 1988.

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Coxeter, H. S. M. Projective geometry. 2nd ed. New York: Springer-Verlag, 1987.

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Fortuna, Elisabetta, Roberto Frigerio, and Rita Pardini. Projective Geometry. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42824-6.

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Samuel, Pierre. Projective Geometry. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-3896-6.

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Projective geometry. New York: Springer-Verlag, 1988.

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Oblique drawing: A history of anti-perspective. Cambridge, MA: MIT Press, 2012.

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Bădescu, Lucian. Projective Geometry and Formal Geometry. Basel: Birkhäuser Basel, 2004.

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Projective geometry and formal geometry. Basel: Birkhäuser, 2004.

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Bădescu, Lucian. Projective Geometry and Formal Geometry. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7936-1.

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T, Kneebone G., ed. Algebraic projective geometry. Oxford: Clarendon Press, 1998.

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Book chapters on the topic "Geometry, Descriptive. Geometry, Projective"

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Volkert, Klaus. "Otto Wilhelm Fiedler and the Synthesis of Projective and Descriptive Geometry." In International Studies in the History of Mathematics and its Teaching, 167–80. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14808-9_10.

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Menghini, Marta. "Luigi Cremona and Wilhelm Fiedler: The Link Between Descriptive and Projective Geometry in Technical Instruction." In International Studies in the History of Mathematics and its Teaching, 57–68. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14808-9_4.

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Lamit, Louis Gary, and Vernon Paige. "The Influence of CADD on Teaching Traditional Descriptive Geometry and Orthographic Projection." In Advanced Computer Graphics, 473–84. Tokyo: Springer Japan, 1986. http://dx.doi.org/10.1007/978-4-431-68036-9_33.

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Holme, Audun. "Projective Space." In Geometry, 221–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04720-0_11.

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Holme, Audun. "Projective Space." In Geometry, 313–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14441-7_12.

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Audin, Michèle. "Projective Geometry." In Geometry, 143–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-56127-6_6.

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Holme, Audun. "Axiomatic Projective Geometry." In Geometry, 177–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04720-0_8.

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Holme, Audun. "Axiomatic Projective Geometry." In Geometry, 265–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14441-7_9.

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Arnold, Vladimir I. "Projective Geometry." In UNITEXT, 33–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36243-9_4.

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Cederberg, Judith N. "Projective Geometry." In A Course in Modern Geometries, 213–313. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3490-4_4.

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Conference papers on the topic "Geometry, Descriptive. Geometry, Projective"

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Stolfi, J. "Oriented projective geometry." In the third annual symposium. New York, New York, USA: ACM Press, 1987. http://dx.doi.org/10.1145/41958.41966.

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Sereda, V. "Creative Training in Descriptive Geometry." In 2006 16th International Crimean Microwave and Telecommunication Technology. IEEE, 2006. http://dx.doi.org/10.1109/crmico.2006.256313.

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Bokor, J., and Z. Szabo. "Projective geometry and feedback stabilization." In 2017 IEEE 21st International Conference on Intelligent Engineering Systems (INES). IEEE, 2017. http://dx.doi.org/10.1109/ines.2017.8118537.

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D'Andrea, Francesco, and Giovanni Landi. "Geometry of Quantum Projective Spaces." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0014.

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E., Kozyrev, Metelkova N., Lavrenova T., Proys N., and Syhomlinova V. "COMPUTER GRAPHICS IN DESCRIPTIVE GEOMETRY PROBLEMS." In Innovative technologies In science and education. DSTU-Print, 2019. http://dx.doi.org/10.23947/itno.2019.197-201.

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Natividad Vivó, Pau, Macarena Salcedo Galera, Ricardo García Baño, María José Silvente Martínez, and José Calvo López. "REAL ARCHITECTURE FOR DESCRIPTIVE GEOMETRY TEACHING." In 14th International Technology, Education and Development Conference. IATED, 2020. http://dx.doi.org/10.21125/inted.2020.0263.

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Li, Xiaolu, Tao He, Lijun Xu, Lulu Chen, and Zhanshe Guo. "Projective rectification of infrared image based on projective geometry." In 2012 IEEE International Conference on Imaging Systems and Techniques (IST). IEEE, 2012. http://dx.doi.org/10.1109/ist.2012.6295549.

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Ge, Q. J. "Projective Convexity in Computational Kinematic Geometry." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASME, 2002. http://dx.doi.org/10.1115/detc2002/mech-34281.

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Carli, Francesca Paola, and Rodolphe Sepulchre. "On the projective geometry of kalman filter." In 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, 2015. http://dx.doi.org/10.1109/cdc.2015.7402570.

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Buchanan, Thomas. "Photogrammetry and projective geometry: an historical survey." In Optical Engineering and Photonics in Aerospace Sensing, edited by Eamon B. Barrett and David M. McKeown, Jr. SPIE, 1993. http://dx.doi.org/10.1117/12.155817.

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Reports on the topic "Geometry, Descriptive. Geometry, Projective"

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Bolbat, O. B., and T. V. Andryushina. Lectures on descriptive geometry. Part 1. Methods of projection. Point. Straight. Plane: Multimedia Tutorial. OFERNIO, May 2021. http://dx.doi.org/10.12731/ofernio.2021.24809.

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