When implementing a pyramid scheme on a computer, it is not possible to use the exact values of the terms of the reenement mask if some are irrational. The irrational terms must be perturbed. When this is the case, it is important to know that the pyramid scheme associated with the perturbed mask converges and that the limit function is close to the solution of the original reenement equation. ...

Irregular pyramids organize a sequence of partitions of images in such a way that each partition is deduced from the preceding one by union of some of its regions. In this paper, we show how a single pyramid can be used to encode redundant subparts of different partitions. We obtain a pyramid that accounts for the redundancy of the partitions. This structure, naturally called the redundancy pyr...

Text block segmentation is necessary in document layout analysis. An algorithm and its implementation that segregates text block by block (a block is either a title or a paragraph) from the provided document, e.g. newspaper image, based on pyramid structure is described in this paper. The pyramid structure, which is amenable for parallel processing on output, is a multi-resolution image represe...

Wide diameter dω(G) and fault-diameter Dω(G) of an interconnection network G have been recently studied by many authors. We determine the wide diameter and fault-diameter of the integer simplex T n m. Note that d1(T n m) = D1(T n m) = d(T n m), where d(T n m) is the diameter of T n m. We prove that dω(T n m) = Dω(T n m) = d(T n m) + 1 when 2 ≤ ω ≤ n. Since a triangular pyramid TPL is T 3 L, we ...

In evaluation of automatic summaries, it is necessary to employ multiple topics and human-produced models in order for the assessment to be stable and reliable. However, providing multiple topics and models is costly and time-consuming. This paper examines the relation between the number of available models and topics and the correlations with human judgment obtained by automatic metrics ROUGE ...