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Relevant bibliographies by topics / Rational parametrization

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Academic literature on the topic 'Rational parametrization'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Rational parametrization"

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Schicho, J. "Rational Parametrization of Surfaces." Journal of Symbolic Computation 26, no. 1 (1998): 1–29. http://dx.doi.org/10.1006/jsco.1997.0199.

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Caravantes, Jorge, J. Rafael Sendra, David Sevilla, and Carlos Villarino. "Covering Rational Surfaces with Rational Parametrization Images." Mathematics 9, no. 4 (2021): 338. http://dx.doi.org/10.3390/math9040338.

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Let S be a rational projective surface given by means of a projective rational parametrization whose base locus satisfies a mild assumption. In this paper we present an algorithm that provides three rational maps f,g,h:A2⇢S⊂Pn such that the union of the three images covers S. As a consequence, we present a second algorithm that generates two rational maps f,g˜:A2⇢S, such that the union of its images covers the affine surface S∩An. In the affine case, the number of rational maps involved in the cover is in general optimal.

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PÉREZ-DÍAZ, S., J. R. SENDRA, and C. VILLARINO. "A FIRST APPROACH TOWARDS NORMAL PARAMETRIZATIONS OF ALGEBRAIC SURFACES." International Journal of Algebra and Computation 20, no. 08 (2010): 977–90. http://dx.doi.org/10.1142/s0218196710005972.

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In this paper we analyze the problem of deciding the normality (i.e. the surjectivity) of a rational parametrization of a surface [Formula: see text]. The problem can be approached by means of elimination theory techniques, providing a proper close subset [Formula: see text] where surjectivity needs to be analyzed. In general, these direct approaches are unfeasible because [Formula: see text] is very complicated and its elements computationally hard to manipulate. Motivated by this fact, we study ad hoc computational alternative methods that simplifies [Formula: see text]. For this goal, we in

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Guo, Minghao. "Rational Parametrization of Fat Quadric Surfaces." Journal of Information and Computational Science 11, no. 10 (2014): 3613–20. http://dx.doi.org/10.12733/jics20104054.

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Bright, Alon, Edward Chien, and Ofir Weber. "Harmonic global parametrization with rational holonomy." ACM Transactions on Graphics 36, no. 4 (2017): 1–15. http://dx.doi.org/10.1145/3072959.3073646.

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Sánchez-Reyes, J., and L. Fernández-Jambrina. "Curves with rational chord-length parametrization." Computer Aided Geometric Design 25, no. 4-5 (2008): 205–13. http://dx.doi.org/10.1016/j.cagd.2007.11.003.

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MORI, Kazuyoshi. "Youla–Kučera Parametrization with no Coprime Factorization—Single-Input Single-Output Case." Information 10, no. 4 (2019): 120. http://dx.doi.org/10.3390/info10040120.

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We present a generalization of the Youla—Kučera parametrization to obtain all stabilizing controllers for single-input and single-output plants. This uses three parameters and can be applied to plants that may not admit coprime factorizations. In this generalization, at most two rational expressions of plants are required, while the Youla–Kučera parametrization requires precisely one rational expression.

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Sendra, J., and J. R. Sendra. "Rational parametrization of conchoids to algebraic curves." Applicable Algebra in Engineering, Communication and Computing 21, no. 4 (2010): 285–308. http://dx.doi.org/10.1007/s00200-010-0126-0.

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EL BASRAOUI, ABDELKRIM, and ABDELLAH SEBBAR. "RATIONAL EQUIVARIANT FORMS." International Journal of Number Theory 08, no. 04 (2012): 963–81. http://dx.doi.org/10.1142/s1793042112500571.

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We investigate the notion of equivariant forms as functions on the upper half-plane commuting with the action of a discrete group. We put an emphasis on the rational equivariant forms for a modular subgroup that are parametrized by generalized modular forms. Furthermore, we study this parametrization when the modular subgroup is of genus zero as well as their behavior under the effect of the Schwarz derivative.

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Choi, Hyeong In, Song-Hwa Kwon, and Nam-Sook Wee. "Almost rotation-minimizing rational parametrization of canal surfaces." Computer Aided Geometric Design 21, no. 9 (2004): 859–81. http://dx.doi.org/10.1016/j.cagd.2004.07.002.

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Dissertations / Theses on the topic "Rational parametrization"

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Blažková, Eva. "Struktura a aproximace reálných rovinných algebraických křivek." Doctoral thesis, 2018. http://www.nusl.cz/ntk/nusl-389639.

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Finding a topologically accurate approximation of a real planar algebraic curve is a classic problem in Computer Aided Geometric Design. Algorithms describing the topology search primarily the singular points and are usually based on algebraic techniques applied directly to the curve equation. In this thesis we propose a more geometric approach, taking into account the subsequent high-precision approximation. Our algorithm is primarily based on the identification and approximation of smooth monotonous curve segments, which can in certain cases cross the singularities of the curve. To find the

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Book chapters on the topic "Rational parametrization"

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Antoulas, A. C. "A summary of parametrization results on the rational interpolation problem." In Analysis and Optimization of Systems. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0042289.

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Rasoulzadeh, Arvin, and Georg Nawratil. "Rational Parametrization of Linear Pentapod’s Singularity Variety and the Distance to It." In Computational Kinematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-60867-9_59.

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Frazho, A. E., S. ter Horst, and M. A. Kaashoek. "State Space Formulas for a Suboptimal Rational Leech Problem II: Parametrization of All Solutions." In Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-10335-8_8.

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Abhyankar, Shreeram. "Rational and polynomial parametrizations." In Mathematical Surveys and Monographs. American Mathematical Society, 1990. http://dx.doi.org/10.1090/surv/035/01.

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Dahl, Heidi E. I. "Piecewise Rational Parametrizations of Canal Surfaces." In Mathematical Methods for Curves and Surfaces. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54382-1_6.

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D’Andrea, Carlos, and Martín Sombra. "Rational Parametrizations, Intersection Theory, and Newton Polytopes." In Nonlinear Computational Geometry. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0999-2_2.

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D’Andrea, Carlos. "Moving Curve Ideals of Rational Plane Parametrizations." In Lecture Notes in Computer Science. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15081-9_2.

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Dahl, Heidi E. I. "Rational Parametrizations of Edge and Corner Blends for Isogeometric Analysis." In SAGA – Advances in ShApes, Geometry, and Algebra. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08635-4_12.

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"Rational Parametrization." In Rational Algebraic Curves. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-73725-4_4.

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"Algebraically Optimal Parametrization." In Rational Algebraic Curves. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-73725-4_5.

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Conference papers on the topic "Rational parametrization"

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SCHICHO, JOSEF. "PARAMETRIZATION OF RATIONAL SURFACES." In Proceedings of the Sixth Asian Symposium (ASCM 2003). WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704436_0002.

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Peréz-Díaz, Sonia, J. Rafael Sendra, Sonia L. Rueda та Juana Sendra. "Parametrization of ε-rational curves". У the 2009 conference. ACM Press, 2009. http://dx.doi.org/10.1145/1577190.1577221.

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Schicho, Josef. "Rational parametrization of real algebraic surfaces." In the 1998 international symposium. ACM Press, 1998. http://dx.doi.org/10.1145/281508.281655.

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Schicho, Josef. "Proper parametrization of surfaces with a rational pencil." In the 2000 international symposium. ACM Press, 2000. http://dx.doi.org/10.1145/345542.345657.

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Rubio, Rosario, J. Miguel Serradilla, and M. Pilar Vélez. "A note on implicitization and normal parametrization of rational curves." In the 2006 international symposium. ACM Press, 2006. http://dx.doi.org/10.1145/1145768.1145818.

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SARTORI, G., and G. VALENTE. "RATIONAL PARAMETRIZATION OF STRATA IN ORBIT SPACES OF COMPACT LINEAR GROUPS." In Proceedings of the International Conference on SPT 2002. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795403_0026.

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Hyeong In Choi and Doo Seok Lee. "Rational parametrization of canal surface by 4 dimensional Minkowski Pythagorean hodograph curves." In Proceedings Geometric Modeling and Processing 2000. Theory and Applications. IEEE, 2000. http://dx.doi.org/10.1109/gmap.2000.838261.

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Srinivasan, Lakshmi N., and Q. Jeffrey Ge. "Fine Tuning of Rational B-Splines Motions." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3984.

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Abstract This paper presents two algorithms for fine-tuning rational spatial motions suitable for Computer Aided Design. The rational motions are represented by rational B-spline curves in a projective dual three-space known as the Image Space of Spatial Kinematics. The problem of fine-tuning of rational motions is studied as that of fine-tuning the corresponding rational curves in the Image Space called the image curves. The path-smoothing algorithm automatically detects and smoothes out the third order geometric discontinuities in the path of a cubic rational Bspline image curve. The speed-s

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Theodoracatos, Vassilios E., and Vasudeva Bobba. "NURBS Surface Reconstruction From a Large Set of Image and World Data Points." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0373.

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Abstract In this paper an approach is presented for the generation of a NURBS (Non-Uniform Rational B-splines) surface from a large set of 3D data points. The main advantage of NURBS surface representation is the ability to analytically describe both, precise quadratic primitives and free-form curves and surfaces. An existing three dimensional laser-based vision system is used to obtain the spatial point coordinates of an object surface with respect to a global coordinate system. The least-squares approximation technique is applied in both the image and world space of the digitized physical ob

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Manocha, Dinesh, and John F. Canny. "Polynomial parametrizations for rational curves." In SC - DL tentative, edited by Leonard A. Ferrari and Rui J. P. de Figueiredo. SPIE, 1990. http://dx.doi.org/10.1117/12.19743.

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