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A New Solution to the Relative Orientation Problem Using Only 3 Points and the Vertical Direction
TLDR
This paper presents a new method to solve the relative pose between two images, using three pairs of homologous points and the knowledge of the vertical direction. Expand
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Extended F5 criteria
TLDR
We study the importance of choosing an ordering on the signatures, and we propose a new algorithm like F5 based on these extended criteria which (despite of F5) does not depend on the order of input polynomials. Expand
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On the use of Buchberger criteria in G2V algorithm for calculating Gröbner bases
TLDR
A modification of the G2V algorithm is presented, which makes it possible to use both Buchberger criteria in the algorithm for calculating Gröbner bases. Expand
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Sharper Complexity Bounds for Zero-Dimensional GRöBner Bases and Polynomial System Solving
TLDR
We present the more accurate bound max{S, Dn} where S is the size of the input polynomials in dense representation, and D is the arithmetic mean value of the degrees of input poyleomials. Expand
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Gröbner Systems Conversion
TLDR
In this paper, we consider the problem of converting parametric Gröbner bases into parametric systems w.r.t. another monomial ordering. Expand
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A Pommaret bases approach to the degree of a polynomial ideal
TLDR
In this paper, we study first the relationship between Pommaret bases and Hilbert series and use it to obtain a dimension depending bound for the ideal membership problem. Expand
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Erratum to "A new algorithm for discussing Gröbner bases with parameters" [J. Symbolic Comput. 33(1-2) (2002) 183-208]
TLDR
In 2002, the third author has presented the algorithmDisPGB to compute a comprehensiveGrobner system for a parametric ideal in Montes (2002), and has implemented it in Maple. Expand
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Efficient Algorithms for Computing Nöther Normalization
  • A. Hashemi
  • Computer Science, Mathematics
  • ASCM
  • 1 December 2007
TLDR
We provide a new algorithm for testing whether a monomial ideal is in Nœther position or not, without using its dimension, within a complexity which is quadratic in input size. Expand
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Strong Nœther Position and Stabilized Regularities
In this article, we introduce the notion of a homogeneous ideal in strong Nœther position (SNP); a new definition for the notion of generic coordinates for some problems. This definition is simple toExpand
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