TheEuclideanReduction(a,b,z)command returns the last numerically well-conditioned basis accepted by the Coprime algorithm [2]. This corresponds to the smallest degree pair of polynomials in the sequence of numerically well-behaved polynomial remainders that can be obtained from(a,b)by unimodular re...
Now we are ready to state Buchberger's algorithm. For the theoretical background of the algorithm (Buchberger's criterion) we refer to Theorem 17 in Section 3. 3. How to choose pairs Having two classes of polynomials to handle, namely S-polynomials and GCD-polynomials we also need criteria...
1. Use the Euclidean algorithm to find greatest common divisor of f (x) = x^4 + 7 x^2 + 1 and g (x) = x^5 + 2, considered as polynomials in F_3 [x]. Express gcd(f, g) as a combination of f and g. 2. P ...
We have proposed in [14] an algorithm which computes the look-up table and the neighbourhood to be tested in the case of chamfer distances. In this pa- per, we adapt our algorithm for SEDT in arbitrary dimension and show that results have completely different properties. Keywords: Medial ...
The EuclideanReduction(a, b, z) command returns the last numerically well-conditioned basis accepted by the Coprime algorithm [2]. This corresponds to the smallest degree pair of polynomials in the sequence of numerically well-behaved polynomial remainders that can be obtained from (a,b) by uni...