Note on nonparametric spectral analysis of wideband spectrum with missing data via sample-and-hold interpolation and deconvolution

In [1] a procedure for bias-free estimation of the autocorrelation function is introduced for equidistantly sampled data with randomly occurring samples being invalid. The method incorporates sample-and-hold interpolation of the missing data points. The occurring dynamic error of the primary estimate of the correlation function is treated by a deconvolution procedure with two parameters $c_0$ and $c_1$ with $c_0+2c_1=1$, which are the on-diagonal and the aside-diagonal parameters of a specific correction matrix (at all lag times except zero). The parameters $c_0$ and $c_1$ were obtained as a function of the probability α of a sample to be valid by numerical simulation. However, explicit expressions for the parameters $c_0(\alpha )=1-\frac{2}{\alpha }+\frac{2}{{\alpha }^2}$ and $c_1(\alpha )=\frac{1}{\alpha }-\frac{1}{{\alpha }^2}$ can be derived, which might improve the usability of the deconvolution procedure in [1].     

高精度数控机床非均匀有理B样条曲线插补控制研究

在复杂曲面数控加工中,经常应用非均匀有理B样条曲线。介绍了非均匀有理B样条曲线插补原理,分析了传统非均匀有理B样条曲线插补方法,即泰勒展开法,确认泰勒展开法在计算精度和时效性等方面存在不足。针对泰勒展开法存在的不足,提出采用割线法进行非均匀有理B样条曲线插补。介绍了割线法插补原理,分析了迭代运算初值及终止判定问题。通过对比确认,割线法求解时间短,精度较高,可以满足高精度数控机床非均匀有理B样条曲线的插补控制要求。     

Adaptive–interpolative binarization with stroke preservation for restoration of faint characters in degraded documents

A novel technique for binarization with stroke preservation of faint characters in degraded documents is proposed. It works in a multi-scale framework with an adaptive–interpolative thresholding technique. Instead of computing a global threshold value, it computes the local threshold values for a small set of grid points by observing the intensity pattern of the pixels lying in the concerned grid cells. Estimated thresholds are used, in turn, to compute the threshold values of all the remaining pixels using a fast-yet-efficient interpolation procedure. To handle noises in degraded images, this grid-based adaptive thresholding is applied in successively reducing scales to obtain the near-optimal binarization as a set of connected components. After a post-processing meant for stroke preservation with these connected components, we get the final output. Exhaustive experimentation and comparison with other existing methods have been successfully carried out with benchmark datasets and also with our own datasets.     

An expert habitat suitability model for the disaggregation of bird survey data: Bird counts in the Netherlands downscaled from atlas block to kilometre cell

Fauna distribution data are often inadequate for the purposes of physical planning at a national scale, because of their lack of detail or incomplete spatial coverage. A method is presented in which an expert habitat suitability model is used for data disaggregation, the opposite of aggregation, and interpolation. Using this method, in this article the data on breeding birds available in the Landscape Ecological Mapping of the Netherlands (LKN) database have been downscaled from atlas blocks to kilometre cells and validated for 14 species with contrasting ecologies. The first step in this procedure is definition of the ecological profile of each species, comprising its habitat requirements and its sensitivity to disturbance. A limited number of conditioning habitat factors are used to describe the ecological profile. The ecological profile is based mainly on expert judgement. The second step involves deriving the habitat characteristics of each kilometre cell that are compatible with the habitat requirements. By comparing the ecological profile with the habitat characteristics of each grid cell, the habitat suitability of every kilometre cells is established. The third step comprises completion and modification of the distribution data. The main change involves an estimation of numbers, based on interpolation, for those atlas blocks for which only the presence of a species has been established. The final step is disaggregation of the counted and interpolated atlas block data over the 25 constituent kilometre cells on the basis of the suitability of each cell. For each step of the disaggregation method, tables and maps of the results are presented. The limitations of the model and of the dataset used are considered and some promising applications of the method discussed.     

Spline interpolation with optimal frequency spectrum for vibration avoidance

A major source of inaccuracy in CNC machines is unwanted vibrations induced by the frequency spectra of reference motion trajectory. This paper presents a novel approach where instead of filtering techniques, axis motion commands are generated with optimal frequency spectra in the first place. Tangential feedrate profile is defined as parametric spline, and its frequency spectrum is optimized with respect to structural dynamics of the machine. The optimization problem is solved efficiently using Quadratic Programming. Experimental results confirm that proposed technique can greatly improve surface finish during machining spline tool-paths without sacrificing from cycle time and contouring performance.     

Multichannel image contrast enhancement based on linguistic rule-based intensificators

This study follows the direct approach to image contrast enhancement, which changes the image contrast at each its pixel and is more effective than the indirect approach that deals with image histograms. However, there are only few studies following the direct approach because, by its nature, it is very complex. Additionally, it is difficult to develop an effective method since it is required to keep a balance in maintaining local and global image features while changing the contrast at each individual pixel. Moreover, raw images obtained from many sources randomly influenced by many external factors can be considered as fuzzy uncertain data. In this context, we propose a novel method to apply and immediately handle expert fuzzy linguistic knowledge of image contrast enhancement to simulate human capability in using natural language. The formalism developed in the study is based on hedge algebras considered as a theory, which can immediately handle linguistic words of variables. This allows the proposed method to produce an image contrast intensificator from a given expert linguistic rule base. A technique to preserve global as well as local image features is proposed based on a fuzzy clustering method, which is applied for the first time in this field to reveal region image features of raw images. The projections of the obtained clusters on each channel are suitably aggregated to produce a new channel image considered as input of the pixelwise defined operators proposed in this study. Many experiments are performed to demonstrate the effect of the proposed method versus the counterparts considered.     

Interpolation with constraint on frequency region and systems & control application

This paper elaborates on a bitangential interpolation problem with a norm constraint of the interpolant on a given frequency region (and on its generalization), and proves that it admits a solution. A motivation from systems & control for the problem is given, and the solution is applied for construction of a stabilizing control for one-block plants such that the closed-loop transfer matrix is norm-constrained on the frequency region. Illustrative numerical examples are given.     

一种基于八叉树分解的岩矿储量估算方法

论述的基于八叉树分解的岩矿储量估算方法,是针对现有的估算方法普遍存在着对已知数据要求过多、使用繁琐等缺点而提出来的。该方法具有对采样数据的要求不高、使用简便快捷的特点,用在普查阶段的岩矿储量估算有着明显的优越性。     

Knowledge-based temporal interpolation

Temporal interpolation is the task of bridging gaps between time-oriented concepts in a context-sensitive manner. It is a subtask important for solving the temporal-abstraction task-abstraction of interval-based, higher-level concepts from time-stamped data. We present a knowledge-based approach to the temporal-interpolation task and discuss in detail the precise knowledge required by that approach, its theoretical foundations, and the implications of the approach. The temporal-interpolation computational mechanism we discuss relies, among other knowledge types, on a temporal-persistence model. The temporal-persistence model employs local temporal-persistence functions that are temporally bidirectional (i.e. extend a belief measure in a predicate both into the future and into the past) and global, maximal-gap temporal-persistence functions that bridge gaps between interval-based predicates. We investigate the quantitative and qualitative properties implied by both types of persistence functions. We have implemented our approach in the RÉSUMÉ program and evaluated it in several different medical and engineering domains. We discuss the implications of our conceptual and computational methodology for acquisition, maintenance, reuse, and sharing of temporal-abstraction knowledge.