Zobrazeno 1 - 10
of 78
pro vyhledávání: '"REGAN, MARGARET"'
Galois/monodromy groups attached to parametric systems of polynomial equations provide a method for detecting the existence of symmetries in solution sets. Beyond the question of existence, one would like to compute formulas for these symmetries, tow
Externí odkaz:
http://arxiv.org/abs/2312.12685
There are many numerical methods for solving partial different equations (PDEs) on manifolds such as classical implicit, finite difference, finite element, and isogeometric analysis methods which aim at improving the interoperability between finite e
Externí odkaz:
http://arxiv.org/abs/2311.09866
We consider Galois/monodromy groups arising in computer vision applications, with a view towards building more efficient polynomial solvers. The Galois/monodromy group allows us to decide when a given problem decomposes into algebraic subproblems, an
Externí odkaz:
http://arxiv.org/abs/2105.04460
Autor:
Bernal, Edgar A., Hauenstein, Jonathan D., Mehta, Dhagash, Regan, Margaret H., Tang, Tingting
Parameterized systems of polynomial equations arise in many applications in science and engineering with the real solutions describing, for example, equilibria of a dynamical system, linkages satisfying design constraints, and scene reconstruction in
Externí odkaz:
http://arxiv.org/abs/2006.14078
Autor:
Fabbri, Ricardo, Duff, Timothy, Fan, Hongyi, Regan, Margaret, de Pinho, David da Costa, Tsigaridas, Elias, Wampler, Charles, Hauenstein, Jonathan, Kimia, Benjamin, Leykin, Anton, Pajdla, Tomas
Publikováno v:
IEEE Transactions on Pattern Analysis and Machine Intelligence, preprint available December 2022
We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of i) three points and one line and the novel case of ii) three points and two lines through two
Externí odkaz:
http://arxiv.org/abs/1903.09755
The monodromy group is an invariant for parameterized systems of polynomial equations that encodes structure of the solutions over the parameter space. Since the structure of real solutions over real parameter spaces are of interest in many applicati
Externí odkaz:
http://arxiv.org/abs/1903.06126
Publikováno v:
In Mechanism and Machine Theory July 2023 185
Three aspects of applying homotopy continuation, which is commonly used to solve parameterized systems of polynomial equations, are investigated. First, for parameterized systems which are homogeneous, we investigate options for performing computatio
Externí odkaz:
http://arxiv.org/abs/1710.06362
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