A key ingredient of many particle filters is the use of the sampling importance resampling algorithm (SIR), which transforms a sample of weighted draws from a prior distribution into equally weighted draws from a posterior distribution. We give a novel analysis of the SIR algorithm and analyse the jittered generalisation of SIR, showing that existing implementations of jittering lead to marked ...

Uniform sampling in metrology has known drawbacks such as coherent spectral aliasing and a lack of efficiency in terms of measuring time and data storage. The requirement for intelligent sampling strategies has been outlined over recent years, particularly where the measurement of structured surfaces is concerned. Most of the present research on intelligent sampling has focused on dimensional m...

Periodic pulse trains can represent the emissions of a pulsed source or the \look" pattern of a scanning receiver. The distribution in time of pulse overlaps is considered for two strictly periodic pulse trains. The probability of at least one pulse overlap within a given time is found for a periodic pulse train with a staggered or jittered pulse train. These questions are important in understa...

In this paper we present a mathematical model of a generic urban scene, which can be used to answer a variety of visibility questions. Aside from its theoretical merit, the mathematical model provides an important analysis tool to optimize urban walkthrough algorithms. We formulate the probability for a given object to be visible from a given viewcell as a function of distance from the viewcell...

OBJECTIVES The purpose of Experiment 1 was to measure word recognition in younger adults with normal hearing when speech or babble was temporally or spectrally distorted. In Experiment 2, older listeners with near-normal hearing and with hearing loss (for pure tones) were tested to evaluate their susceptibility to changes in speech level and distortion types. The results across groups and liste...

Shadow mapping is a popular technique for shadow generation. However, it is still a difficult problem to generate high quality shadows in real time framerates for arbirary scenes. This work summarizes state-of-the-art techniques to achieve pixel accurate shadows and points out the various problems of generating artifact free shadows. Furthermore, we present a new technique that uses multiple ji...

We have carried out a pilot study on a standard collection of electrocardiograms from patients who suffer from congestive heart failure, and subjects without cardiac pathology, using receiveroperating-characteristic (ROC) analysis. The scale-dependent wavelet-coefficient standard deviation σwav(m), a multiresolution-based analysis measure, is found to be superior to two commonly used measures o...

Contour integration is a fundamental computation during image segmentation. Psychophysical evidence shows that contour integration is performed with high precision in widely differing situations. Therefore, the brain requires a reliable algorithm for extracting contours from stimuli. While according to statistics, contour integration is optimal when using a multiplicative algorithm, realistic n...

This paper presents some results on semi-parametric regression using wavelet methods in the presence of autocorrelated stationary Gaussian errors, and when the explanatory variable follows a uniform distribution or comes from a stochastic sampling like the jittered sampling scheme. The aim is to estimate the signal globally with low risk. It is shown that in these special cases the samples can ...

In this paper, we prove a local limit theorem and refined continuity correction for the negative binomial distribution. We present two applications of results. First, find asymptotics median $\mathrm{Negative\hspace{0.5mm}Binomial}\hspace{0.2mm}(r,p)$ random variable jittered by $\mathrm{Uniform}\hspace{0.2mm}(0,1)$, which answers problem left open in Coeurjolly & Tr\'epanier (2020). This is us...