Search Results - implicitization algorithm
-
1
A univariate resultant-based implicitization algorithm for surfaces
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.02.2008Published 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…”
Get full text
Journal Article -
2
A perturbed differential resultant based implicitization algorithm for linear DPPEs
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.09.2011Published 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…”
Get full text
Journal Article -
3
Symbolic Treatment of Trigonometric Parametrizations: The General Unirational Case and Applications
ISSN: 2194-6701, 2194-671XPublished: 01.04.2025Published in Communications in mathematics and statistics (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…”
Get full text
Journal Article -
4
An Implicitization Algorithm for Rational Surfaces with no Base Points
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.04.2001Published 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…”
Get full text
Journal Article -
5
Forward kinematic problem of 5-RPUR parallel mechanisms (3T2R) with identical limb structures
ISSN: 0094-114XPublished: Kidlington Elsevier 01.07.2011Published 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…”
Get full text
Journal Article -
6
An implicitization algorithm with fewer variables
ISSN: 0167-8396, 1879-2332Published: Amsterdam Elsevier B.V 01.05.1995Published in Computer aided geometric design (01.05.1995)“…In this paper we present a general implicitization algorithm for rational parameterizations, using Gröbner Bases…”
Get full text
Journal Article -
7
An implicitization algorithm for rational surfaces with no base points
ISSN: 0747-7171, 1095-855XPublished: Elsevier 2001Published in Journal of symbolic computation (2001)Get full text
Journal Article -
8
Forward kinematic problem of 5-R PUR parallel mechanisms (3T2R) with identical limb structures
ISSN: 0094-114X, 1873-3999Published: Elsevier Ltd 2011Published 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…”
Get full text
Journal Article -
9
Kinematics of a spherical parallel mechanism with identical limb structures using the linear implicitization algorithm and Euclidean Geometry
ISBN: 1467358096, 9781467358095Published: IEEE 01.02.2013Published in 2013 First RSI/ISM International Conference on Robotics and Mechatronics (ICRoM) (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…”
Get full text
Conference Proceeding -
10
Implicitization of hypersurfaces
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.07.2017Published in Journal of symbolic computation (01.07.2017)“…We present new, practical algorithms for the hypersurface implicitization problem…”
Get full text
Journal Article -
11
A perturbed differential resultant based implicitization algorithm for linear DPPEs
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 23.03.2010Published 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 \(\cP\)…”
Get full text
Paper -
12
Adaptive Approximate Implicitization of Planar Parametric Curves via Asymmetric Gradient Constraints
ISSN: 2073-8994, 2073-8994Published: Basel MDPI AG 01.09.2023Published 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…”
Get full text
Journal Article -
13
Approximate implicitization and recursive surface intersection algorithms
ISSN: 1617-7061, 1617-7061Published: Berlin WILEY-VCH Verlag 01.12.2007Published in Proceedings in applied mathematics and mechanics (01.12.2007)“…Most published work on intersection algorithms for Computer Aided Design (CAD) systems addresses transversal intersections [1…”
Get full text
Journal Article -
14
Approximate Implicitization Using Linear Algebra
ISSN: 1110-757X, 1687-0042Published: Cairo, Egypt Hindawi Limiteds 01.01.2012Published in Journal of Applied Mathematics (01.01.2012)“…We consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces…”
Get full text
Journal Article -
15
Algorithms for Trigonometric Curves (Simplification, Implicitization, Parameterization)
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.09.1998Published 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…”
Get full text
Journal Article -
16
Efficient Groebner walk conversion for implicitization of geometric objects
ISSN: 0167-8396, 1879-2332Published: Elsevier B.V 01.11.2004Published 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…”
Get full text
Journal Article -
17
Implicitization of rational hypersurfaces via linear syzygies: A practical overview
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.05.2016Published 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…”
Get full text
Journal Article -
18
Exploring interval implicitization in real-valued time series classification and its applications
ISSN: 0920-8542, 1573-0484Published: New York Springer US 01.02.2023Published 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…”
Get full text
Journal Article -
19
Reverse engineering of CAD models via clustering and approximate implicitization
ISSN: 0167-8396, 1879-2332Published: Elsevier B.V 01.06.2020Published 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…”
Get full text
Journal Article -
20
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis
ISSN: 0167-8396, 1879-2332Published: Elsevier B.V 01.01.2021Published 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…”
Get full text
Journal Article

