Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

The algorithm does patch matching. A patch is a pixel and a small set of surrounding pixels. The patch need not be square or even contiguous. The result from a matching is "for" a middle pixel of a ...

A fast algorithm based on the Euclid algorithm is introduced to solve the linear system of equations involved in the computation, and a detailed analysis of the matrix is given. The special case of ...

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Algorithm 237: Greatest common divisor View in the ACM Digital Library DOI 10.1145/355586.364802 August 1964 Issue Published: August 1, 1964 Vol. 7 No. 8 Page: 481 Table of Contents Related Reading ...

The Euclidean algorithm is a procedure used to find the greatest common divisor (GCD) of two positive integers. It was first described by Euclid in his manuscript Elements written around 300 BC .