Search Results - implicitization algorithm

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  1. 1

    A univariate resultant-based implicitization algorithm for surfaces by Pérez-Díaz, Sonia, Rafael Sendra, J.

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.02.2008
    Published in Journal of symbolic computation (01.02.2008)
    “…In this paper, we present a new algorithm for computing the implicit equation of a rational surface V from a rational parametrization P…”
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    Journal Article
  2. 2

    A perturbed differential resultant based implicitization algorithm for linear DPPEs by Rueda, Sonia L.

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.09.2011
    Published in Journal of symbolic computation (01.09.2011)
    “… A nonzero linear differential polynomial in ID is obtained, from the lowest degree term of ∂CResϕ, and used to provide an implicitization for P…”
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    Journal Article
  3. 3

    Symbolic Treatment of Trigonometric Parametrizations: The General Unirational Case and Applications by Lastra, Alberto, Sendra, Juan Rafael, Sendra, Juana

    ISSN: 2194-6701, 2194-671X
    Published: 01.04.2025
    “… In addition, we provide symbolic algorithms to implicitize and to convert a hybrid trigonometric parametrization into a unirational one, and vice versa…”
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    Journal Article
  4. 4

    An Implicitization Algorithm for Rational Surfaces with no Base Points by Aries, Franck, Senoussi, Rachid

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.04.2001
    Published in Journal of symbolic computation (01.04.2001)
    “…We present an implicitization algorithm which is free of extraneous factors if the rational parametric surface has no base points…”
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    Journal Article
  5. 5

    Forward kinematic problem of 5-RPUR parallel mechanisms (3T2R) with identical limb structures by Masouleh, Mehdi Tale, Gosselin, Clément, Husty, Manfred, Walter, Dominic R.

    ISSN: 0094-114X
    Published: Kidlington Elsevier 01.07.2011
    Published in Mechanism and machine theory (01.07.2011)
    “… In this paper, the algorithms proposed for obtaining the forward kinematic expression is based on two approaches which differ by their concept of eliminating passive variables…”
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    Journal Article
  6. 6

    An implicitization algorithm with fewer variables by Alonso, Cesar, Gutierrez, Jaime, Recio, Tomas

    ISSN: 0167-8396, 1879-2332
    Published: Amsterdam Elsevier B.V 01.05.1995
    Published in Computer aided geometric design (01.05.1995)
    “…In this paper we present a general implicitization algorithm for rational parameterizations, using Gröbner Bases…”
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    Journal Article
  7. 7
  8. 8

    Forward kinematic problem of 5-R PUR parallel mechanisms (3T2R) with identical limb structures by Masouleh, Mehdi Tale, Gosselin, Clément, Husty, Manfred, Walter, Dominic R.

    ISSN: 0094-114X, 1873-3999
    Published: Elsevier Ltd 2011
    Published in Mechanism and machine theory (2011)
    “… In this paper, the algorithms proposed for obtaining the forward kinematic expression is based on two approaches which differ by their concept of eliminating passive variables…”
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    Journal Article
  9. 9

    Kinematics of a spherical parallel mechanism with identical limb structures using the linear implicitization algorithm and Euclidean Geometry by Chaeibakhsh, S., Farzaneh Kaloorazi, Mohammad Hadi, Tale Masouleh, Mehdi

    ISBN: 1467358096, 9781467358095
    Published: IEEE 01.02.2013
    “… The algorithm applied to obtain the forward kinematic and constraint equations in seven-dimensional space, by the means of Study parameters, is a novel approach which is the so-called linear implicitization algorithm…”
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    Conference Proceeding
  10. 10

    Implicitization of hypersurfaces by Abbott, John, Bigatti, Anna Maria, Robbiano, Lorenzo

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.07.2017
    Published in Journal of symbolic computation (01.07.2017)
    “…We present new, practical algorithms for the hypersurface implicitization problem…”
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    Journal Article
  11. 11

    A perturbed differential resultant based implicitization algorithm for linear DPPEs by Rueda, Sonia L

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.03.2010
    Published in arXiv.org (23.03.2010)
    “… in \(\id\) is obtained from the lowest degree term of \(\dcres_{\phi}\) and used to provide an implicitization algorithm for \(\cP\)…”
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    Paper
  12. 12

    Adaptive Approximate Implicitization of Planar Parametric Curves via Asymmetric Gradient Constraints by Guo, Minghao, Gao, Yan

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.09.2023
    Published in Symmetry (Basel) (01.09.2023)
    “… We then propose two adaptive algorithms of approximate implicitization for polynomial and non-polynomial curves respectively, which find the “optimal…”
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    Journal Article
  13. 13

    Approximate implicitization and recursive surface intersection algorithms by Dokken, Tor

    ISSN: 1617-7061, 1617-7061
    Published: Berlin WILEY-VCH Verlag 01.12.2007
    “…Most published work on intersection algorithms for Computer Aided Design (CAD) systems addresses transversal intersections [1…”
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    Journal Article
  14. 14

    Approximate Implicitization Using Linear Algebra by Barrowclough, Oliver J. D., Dokken, Tor

    ISSN: 1110-757X, 1687-0042
    Published: Cairo, Egypt Hindawi Limiteds 01.01.2012
    Published in Journal of Applied Mathematics (01.01.2012)
    “…We consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces…”
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    Journal Article
  15. 15

    Algorithms for Trigonometric Curves (Simplification, Implicitization, Parameterization) by Hong, Hoon, Schicho, Josef

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.09.1998
    Published in Journal of symbolic computation (01.09.1998)
    “… Some trigonometric curves can also be represented implicitly by bivariate polynomial equations. In this paper, we give algorithms…”
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    Journal Article
  16. 16

    Efficient Groebner walk conversion for implicitization of geometric objects by Tran, Quoc-Nam

    ISSN: 0167-8396, 1879-2332
    Published: Elsevier B.V 01.11.2004
    Published in Computer aided geometric design (01.11.2004)
    “…In this paper, the author uses recent theoretical results from the method of Groebner bases to improve the efficiency of algorithms for implicitization…”
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    Journal Article
  17. 17

    Implicitization of rational hypersurfaces via linear syzygies: A practical overview by Botbol, Nicolás, Dickenstein, Alicia

    ISSN: 0747-7171, 1095-855X
    Published: Elsevier Ltd 01.05.2016
    Published in Journal of symbolic computation (01.05.2016)
    “…We unveil in concrete terms the general machinery of the syzygy-based algorithms for the implicitization of rational surfaces in terms of the monomials in the polynomials defining the parametrization…”
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    Journal Article
  18. 18

    Exploring interval implicitization in real-valued time series classification and its applications by Tao, Zhifu, Yao, Bingxin, Zhu, Jiaming

    ISSN: 0920-8542, 1573-0484
    Published: New York Springer US 01.02.2023
    Published in The Journal of supercomputing (01.02.2023)
    “… Then, the integration of explored interval implicitization process, Dynamic Time Warping algorithm and the simple nearest neighbor classifier is proposed…”
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    Journal Article
  19. 19

    Reverse engineering of CAD models via clustering and approximate implicitization by Raffo, Andrea, Barrowclough, Oliver J.D., Muntingh, Georg

    ISSN: 0167-8396, 1879-2332
    Published: Elsevier B.V 01.06.2020
    Published in Computer aided geometric design (01.06.2020)
    “… In this work we develop a novel method to determine these primitive shapes by combining clustering analysis with approximate implicitization…”
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    Journal Article
  20. 20

    Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis by Pérez-Díaz, Sonia, Shen, Li-Yong

    ISSN: 0167-8396, 1879-2332
    Published: Elsevier B.V 01.01.2021
    Published in Computer aided geometric design (01.01.2021)
    “…We consider the proper reparametrization problem of rational curves by introducing the μ-bases. The results are essential to the theoretical completeness of…”
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    Journal Article