Donald G. Bailey Physics Department, Massey University Palmerston North, New Zealand D.G.Bailey @ massey . ac.nz Filtering is often used in image processing to smooth noise, and to enhance or detect features within an image. Images which have regular patterns in the spatial domain have peaks in the frequency domain corresponding to the spatial frequencies of the regular patterns. When processin...

This paper presents a brief of properties and rules of digital order tracking analysis in diagnosis of rotary machines. The classical methods of order spectrum analysis are also provided. The main part of given paper is description of new approach of method for digital tracking analysis. The most important thing is a way of choosing samples for logical change of regular sampling in time domain ...

This paper presents an analytic formulation for anti-aliased sampling of 2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the convolution integral with a linear function defined on the polytopes. The filter is a spherically symmetric polynomial of any order, supporting approximations to refined variants such as the Mitchell-Netravali filter family. This enables high-qu...

We describe our methods for share task of personal attributes extraction. We divide all 25 attributes into several categories and propose 4 kinds of pipelines to carry out value extraction. There are two stages in the process. The first stage uses CRF model or regular expression based extractor to produce initial answers. In the second stage, we propose two methods to filter out mistake answers...

Compactly supported orthogonal wavelets are built on the Cantor dyadic group (the dyadic or a-series local field). Necessary and sufficient conditions are given on a trigonometric polynomial scaling filter for a multiresolution analysis to result. A Lipschitz regularity condition is defined and an unconditional P-convergence result is given for regular wavelet expansions (p > 1). Wavelets are g...

Classical deep convolutional networks increase receptive field size by either gradual resolution reduction or application of hand-crafted dilated convolutions to prevent increase in the number of parameters. In this paper we propose a novel displaced aggregation unit (DAU) that does not require hand-crafting. In contrast to classical filters with units (pixels) placed on a fixed regular grid, t...

This paper compares three models of the output gap in New Zealand – the Reserve Bank of New Zealand’s incumbent MV filter, estimates from a Structural VAR, and a multivariate unobserved components model – and investigates whether there are features that are consistent across the measures of the gap. Various detrending methods are used for benchmarking the output gap measures, including a linear...

We investigate regular realizability (RR) problems, which are the problems of verifying whether the intersection of a regular language – the input of the problem – and a fixed language, called a filter, is non-empty. In this paper we focus on the case of context-free filters. The algorithmic complexity of the RR problem is a very coarse measure of the complexity of context-free languages. This ...

Filtering is often used in image processing to smooth noise, and to enhance or detect features within an image. Images which have regular patterns in the spatial domain have peaks in the frequency domain corresponding to the spatial frequencies of the regular patterns. When processing such images, it is often desirable to keep such peaks, enhancing the pattern and removing noise or irregulariti...

In the early 1970’s S.Tennenbaum proved that all countable models of PA+∀1−Th(N) are embeddable into the reduced product N /F , where F is the cofinite filter. In this paper we show that if M is a model of PA− + ∀1 − Th(N), and |M | = א1, then M is embeddable into N/D, where D is any regular filter on ω.