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This paper proposes a novel computational structure for Sum of Absolute Difference (SAD) in Fast Full Search (FFS) algorithm to ellipsis part of the SAD value dependency. This structure adopts an SAD Accumulating Termination Algorithm (SAD-ATA) and an Early Loop Termination Decision (ELTD). SAD-ATA is used to analyze and determine whether to skip the following operation of successive SAD accumulation...
Graph Bisection is the problem of partitioning the vertices of a graph into two equal-size pieces so as to minimize the number of edges between the two pieces. This paper presents an algorithm that will, for almost all graphs in a certain class, output the minimum-size bisection. Furthermore the algorithm will yield, for almost all such graphs, a proof that the bisection is optimal. The algorithm...
We employ elementary results from the theory of several complex variables to obtain a quadratic lower bound on the complexity of computing the mean distance between points in the plane. This problem has 2N inputs and a single output and we show that exactly N(N-1)/2 square roots must be computed by any program over +, -, ×, ÷,) √, log and comparisons, even allowing an arbitrary field of constants...
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