Determination of the characteristic parameters in the general collinear spaces in the general case by Krasić Sonja, Marković Miroslav

“…In order to perform mapping in the general-collinear spaces which are uniformly (biunivocally) determined with five pairs of associated points, it is necessary to determine the following parameters in the general case: the vanishing plane, space axis (principal normal lines), foci, if there are any (apices of the identical rays of straight lines) and directrix planes, if there are any (appended identical fields of points).Construction methods which can be used in this paper are the Descriptive and projective geometry methods. The paper is primarily based on the constructive treatment of general collinear spaces in the general case, in whose course a pair of Monge's projections are used.…”
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Clinical utility of the Taylor spatial frame for limb deformities by Keshet D, Eidelman M

“…The mathematical base of all hexapod systems is projective geometry, which describes complex repositioning of an object in space. …”
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New sizes of complete (k, 4)-arcs in PG(2,17) by Zainab Shehab Hamed

“…Also, this paper establishes the connection between the projective geometry in terms of a complete ( , 4)-arc in  and the algebraic characteristics of a plane quartic curve over the field  represented by the number of its rational points and inflexion points. …”
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New approach to obtain height measurements from video by Criminisi, A, Zisserman, A, Van Gool, LJ, Bramble, SK, Compton, D

“…The method draws on results from projective geometry and computer vision. A height measurement is obtained from each frame of the video. …”

Architectural epistemology, existing buildings, and single-image modeling by Mike Christenson, Kallie Self

“…The paper describes modeling the Nishiki Market in Kyoto using principles of projective geometry and reverse perspective. By problematizing the construction process, the method discloses how a model may embody subjective interpretations and choices. …”
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Determination of the characteristic parameters in the special collinear space in the general case by Krasić Šonja, Marković Miroslav

“…The structural methods which are used are Descriptive Geometry (a pair of Mange's projections) and Projective geometry.…”
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On old relations of Lie theory, classical geometry and gauge theory by Rolf Dahm

“…Having been led by hadron interactions and low-energy photoproduction to SU(4) and non-compact SU*(4) symmetry, the general background turned out to be projective geometry (PG) of $P^3$, or when considering line and Complex geometry to include gauge theory, aspects of $P^5$. …”
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On conjugate difference schemes: the midpoint scheme and the trapezoidal scheme by Yu Ying, Mikhail D. Malykh

“…This relation allows considering the trapezoidal scheme as dual to the midpoint scheme and to find a dual analogue for Coopers theorem by analogy with the duality principle in projective geometry. It is proved that on the approximate solution found by the trapezoidal scheme, not the quadratic integral itself is preserved, but a more complicated expression, which turns into an integral in the limit as t0.Thus the concept of conjugate difference schemes is investigated in pure algebraic way. …”
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Genus zero of projective symplectic groups by H.M Mohammed Salih, Rezhna M. Rezhna M. Hussein

“…In this paper, we assume that G is a finite group with PSp(4, q) ≤ G ≤ Aut(PSp(4, q)) and G acts on the projective points of 3-dimensional projective geometry PG(3, q), q is a prime power. We show that G possesses no genus zero group if q > 5. …”
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Automatic 3D model construction for turn-table sequences by Fitzgibbon, AW, Cross, G, Zisserman, A

“…<br> From an analysis of the projective geometry of the situation, it is shown that the rotation angles may be determined unambiguously, and that camera calibration, camera positions and 3D structure may be determined to within a two parameter family. …”

Russell, les « sense-data » et les objets physiques : une approche géométrique de la notion de classification by Sébastien Gandon

“…We claim, in a third section, that this idea is itself an echo of the way Russell defines the projective geometry as a general theory of incidence relations in The Principes of Mathematics (1903).…”
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Integration-by-parts identities and differential equations for parametrised Feynman integrals by Daniele Artico, Lorenzo Magnea

“…We provide a different viewpoint on these important tools by working in Feynman-parameter space, and using its projective geometry. Our work is based upon little-known results pre-dating the modern era of loop calculations [16–19, 30, 31]: we adapt and generalise these results, deriving a very general expression for sets of IBP identities in parameter space, associated with a generic Feynman diagram, and valid to any loop order, relying on the characterisation of Feynman-parameter integrands as projective forms. …”
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Assessment of shape changes of mistletoe berries: a new software approach to automatize the parameterization of path curve shaped contours. by Renatus Derbidge, Linus Feiten, Oliver Conradt, Peter Heusser, Stephan Baumgartner

“…Photographs of mistletoe (Viscum album L.) berries taken by a permanently fixed camera during their development in autumn were subjected to an outline shape analysis by fitting path curves using a mathematical algorithm from projective geometry. During growth and maturation processes the shape of mistletoe berries can be described by a set of such path curves, making it possible to extract changes of shape using one parameter called Lambda. …”
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Attitude Sensor from Ellipsoid Observations: A Numerical and Experimental Validation by Dario Modenini, Alfredo Locarini, Marco Zannoni

“…By fitting an ellipse to the imaged limb arcs, and exploiting some analytical results available from projective geometry, a closed form solution for computing the attitude matrix is provided. …”
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A light touch approach to teaching transformers multi-view geometry by Bhalgat, Y, Henriques, JF, Zisserman, A

“…This flexibility can be problematic in tasks that involve multiple-view geometry, due to the near-infinite possible variations in 3D shapes and viewpoints (requiring flexibility), and the precise nature of projective geometry (obeying rigid laws). To resolve this conundrum, we propose a “light touch” approach, guiding visual Transformers to learn multiple-view geometry but allowing them to break free when needed. …”

Visible Light Positioning Using A Single LED Luminaire by Jie Hao, Jing Chen, Ran Wang

“…To address the measurement error, this paper innovates in exploiting projective geometry to calibrate the orientation measurements. …”
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Calibration Method for Line-Structured Light Three-Dimensional Measurements Based on a Single Circular Target by Jun Wang, Xuexing Li

“…Second, an elliptical cone equation defined by the elliptic fitting profile and optical center of the camera is established based on the projective geometry. By combining the obtained elliptical cone and the known diameter of the circular target, two possible positions and orientations of the circular target are determined and two groups of 3D intersection points between the light plane and the circular target are identified. …”
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Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics by Rushan Ziatdinov, James R. Valles

“…We also show how integrating GeoGebra into the learning scheme can help improve the skills and knowledge of school and university students in numerous advanced mathematical courses, such as calculus, mathematical statistics, linear algebra, linear programming, computer-aided design, computer-aided geometric design, analytic and projective geometry, and graphical representation. Therefore, this study shows the effectiveness of GeoGebra and its MVP key features in science and engineering, particularly in topics related to mathematics. …”
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Self-repairing codes for distributed storage : a projective geometric construction by Oggier, Frederique, Datta, Anwitaman

“…In this paper, we propose a new instance of self-repairing codes, based on constructions of spreads coming from projective geometry. We study some of their properties to demonstrate the suitability of these codes for distributed networked storage.…”
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Eccentricity in Images of Circular and Spherical Targets and its Impact to 3D Object Reconstruction by T. Luhmann

“…This paper discusses a feature of projective geometry which causes eccentricity in the image measurement of circular and spherical targets. …”
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