Beyond B-splines: Exponential pseudo-splines and subdivision schemes reproducing exponential polynomials

The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of nonstationary subdivision schemes reproducing spaces of exponential polynomial function

Impact of the International Space Station Research Results

The International Space Station (ISS) facilitates research that benefits human lives on Earth and serves as the primary testing ground for technology development to sustain life in the extreme environment of space. To date, investigators have published a wide range of ISS science results, from improved theories about the creation of stars to the outcome of data mining omics repositories of previously completed ISS investigations. Because of the unique microgravity environment of the ISS laboratory and the multidisciplinary and international nature of the research, analyzing ISS scientific impacts is an exceptional challenge. As a result, the ISS Program Science Forum (PSF), made up of senior science representatives across the ISS international partnership, uses various methods to describe the impacts of ISS research activities. For the most part, past papers written by PSF members to assess the overall ISS research impact have focused on exhibiting ISS research impact by quantifying ISS research output or its perceived benefits for humanity. This paper proposes a new assessment of ISS impact from the perspective of the end users needs. To that end, the authors use visualizations and metrics of scientific publication data to show the ISS research influence on traditional scientific fields, its global reach and the benefits to people across the globe

Impact of the International Space Station Research Results

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Nonstationary Biorthogonal Wavelet Filters

Nonstationary multiresolution analyses have gained a great interest in recent years. In fact, in the nonstationary framework it is possible to construct nonstationary biorthogonal bases whose approximation properties are better than those achieved in the stationary case. Nonstationary biorthogonal bases are associated with nonstationary biorthogonal filters, defined by two pairs of filter sequences - the low-pass pair and the high-pass pair - whose taps change at each step $ of the decomposition/reconstruction scheme. Nonstationary filters can be used to realize nonstationary wavelet transforms through a classical subband coding (analysis/synthesis) scheme, which permits to change the properties of the analysis/synthesis filters at each decomposition/reconstruction level. This property makes them a flexible and adaptive tool to be successfully applied in signal and image processing, while preserving all the computational advantages of the discrete wavelet transform. In this work we will present some families of nonstationary biorthogonal wavelet filters and analyze their main properties - compact support, number of vanishing moments, regularity, etc. - that contribute to the good compaction property of the nonstationary wavelet transform in both time and frequency domains. The performances of such filters in some classical problems, such as compression, denoising and edge detection, will be also evaluated

A family of level-dependent biorthogonal wavelet filters for image compression

In this work we explore the construction and the applications of a special family of level-dependent biorthogonal filters, i.e. filters whose taps depend on the scaling level. Such a family is generated from a class of functions all related through level-dependent (or nonstationary) refinement equations, which contains cardinal polynomial B-splines as a particular case. The greater flexibility offered by the nonstationarity of these filters allows to achieve better results in some image processing problems, such as image compression, when compared to classical biorthogonal B-spline filters

Preparing graduates with the employability skills for the unknown future: reflection on assessment practice during COVID-19

Purpose The purpose of this paper is to provide an authentic and relevant way of sharing our realisation of the significance of integrating employability skills in assessment practice. This is supported from the anecdotal evidence received from students, which show that the inclusion and assessment of employability skills has provided them with an artifact that demonstrates the employability skills required for the continually changing future and workplace. For staff, the ability to assess and give feedback on the acquisition of employability skills makes it a more enjoyable experience. Design/methodology/approach Due to the short rollout period and pivot to online learning, there has not been an opportunity to undertake a comprehensive and formal data collection. However, anecdotal evidence has been collected from students and staff on the experience of the student-created video assignment in a completely online environment. Findings This paper establishes how a student video assessment contributes to students’ acquisition, development and enhancement of employability skills, such as communication and teamwork skills, that are central for preparing students for continually evolving future and thus the “new normal” brought forward by COVID-19. Practical implications This paper enables the authors to share their experiences and provision of their resources so that other teaching academics are able to design their own assessment task that contributes to students’ acquisition, development and enhancement of employability skills. Originality/value The originality of this paper is the application of integrating employability skills in assessment practice and the associated rubric as way to build students’ employability skills in the post-COVID world