On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials

In this paper we give a new characterization of the closure of the set of the real parts of the zeros of a particular class of Dirichlet polynomials that is associated with the set of dimensions of fractality of certain fractal strings. We show, for some representative cases of nonlattice Dirichlet polynomials, that the real parts of their zeros are dense in their associated critical intervals, confirming the conjecture and the numerical experiments made by M. Lapidus and M. van Frankenhuysen in several papers.

On the existence of fractal strings whose set of dimensions of fractality is not perfect

In this paper we give an example of a nonlattice self-similar fractal string such that the set of real parts of their complex dimensions has an isolated point. This proves that, in general, the set of dimensions of fractality of a fractal string is not a perfect set.

A note on fractal dimensions of biomedical waveforms

In this paper, we study performance of Katz method of computing fractal dimension of waveforms, and its estimation accuracy is compared with Higuchi's method. The study is performed on four synthetic parametric fractal waveforms for which true fractal dimensions can be calculated, and real sleep electroencephalogram. The dependence of Katz's fractal dimension on amplitude, frequency and sampling frequency of waveforms is noted. Even though the Higuchi's method has given more accurate estimation of fractal dimensions, the study suggests that the results of Katz's based fractal dimension analysis of biomedical waveforms have to be carefully interpreted.

Optical determination of fractal dimensions using Fourier transforms

R. Zwiggelaar and C.R. Bull, 'Optical determination of fractal dimensions using Fourier transforms', Optical Engineering 34 (5), 1325-1332 (1995)

Comparison of fractal dimensions based on segmented NDVI fields obtained from different remote sensors.

Satellite image data have become an important source of information for monitoring vegetation and mapping land cover at several scales. Beside this, the distribution and phenology of vegetation is largely associated with climate, terrain characteristics and human activity. Various vegetation indices have been developed for qualitative and quantitative assessment of vegetation using remote spectral measurements. In particular, sensors with spectral bands in the red (RED) and near-infrared (NIR) lend themselves well to vegetation monitoring and based on them [(NIR - RED) / (NIR + RED)] Normalized Difference Vegetation Index (NDVI) has been widespread used. Given that the characteristics of spectral bands in RED and NIR vary distinctly from sensor to sensor, NDVI values based on data from different instruments will not be directly comparable. The spatial resolution also varies significantly between sensors, as well as within a given scene in the case of wide-angle and oblique sensors. As a result, NDVI values will vary according to combinations of the heterogeneity and scale of terrestrial surfaces and pixel footprint sizes. Therefore, the question arises as to the impact of differences in spectral and spatial resolutions on vegetation indices like the NDVI. The aim of this study is to establish a comparison between two different sensors in their NDVI values at different spatial resolutions.

On a conjecture of Lapidus and van Frankenhuysen

In this paper it is shown that a conjecture of Lapidus and van Frankenhuysen of 2003 on the existence of a vertical line such that the density of the complex dimensions of nonlattice fractal strings with M scaling ratios off this line vanishes in the limit as M→∞, fails on the class of nonlattice self-similar fractal strings.

An application of fractal image-set coding in facial recognition

Faces are complex patterns that often differ in only subtle ways. Face recognition algorithms have difficulty in coping with differences in lighting, cameras, pose, expression, etc. We propose a novel approach for facial recognition based on a new feature extraction method called fractal image-set encoding. This feature extraction method is a specialized fractal image coding technique that makes fractal codes more suitable for object and face recognition. A fractal code of a gray-scale image can be divided in two parts – geometrical parameters and luminance parameters. We show that fractal codes for an image are not unique and that we can change the set of fractal parameters without significant change in the quality of the reconstructed image. Fractal image-set coding keeps geometrical parameters the same for all images in the database. Differences between images are captured in the non-geometrical or luminance parameters – which are faster to compute. Results on a subset of the XM2VTS database are presented.

The strategic and operational dimensions of staff training and professional development for information professionals : what neXus2 has revealed

The paper seeks to continue the debate about the need for professionals in the library and information services (LIS) sector to continually engage in career-long learning to sustain and develop their knowledge and skills in a dynamic industry. Aims: The neXus2 workforce study has been funded by the ALIA and the consortium of National and State Libraries Australasia (NSLA). It builds on earlier research work (the neXus census) that looked at the demographic, educational and career perspectives of individual library and information professions, to critically examine institutional policies and practices associated with the LIS workforce. The research aims to develop a clearer understanding of the issues impacting on workforce sustainability, workforce capability and workforce optimisation. Methods: The research methodology involved an extensive online survey conducted in March 2008 which collected data on organisational and general staffing; recruitment and retention; staff development and continuing professional education; and succession planning. Encouragement to participate was provided by key industry groups, including academic, public, health, law and government library and information agencies, with the result that around 150 institutions completed the questionnaire. Results: The paper will specifically discuss the research findings relating to training and professional development, to measure the scope and distribution of training activities across the workforce, to consider the interrelationship between the strategic and operational dimensions of staff development in individual institutions and to analyse the common and distinctive factors evident in the different sectors of the profession. Conclusion: The neXus2 project has successfully engaged LIS institutions in the collection of complex industry data that is relevant to the future education and workforce strategies for all areas of the profession. Cross-sector forums such as Information Online 2009 offer the opportunity for stimulating professional dialogue on the key issues.

A model of project complexity : distinguishing dimensions of complexity from severity

There is increasing agreement that understanding complexity is important for project management because of difficulties associated with decision-making and goal attainment which appear to stem from complexity. However the current operational definitions of complex projects, based upon size and budget, have been challenged and questions have been raised about how complexity can be measured in a robust manner that takes account of structural, dynamic and interaction elements. Thematic analysis of data from 25 in-depth interviews of project managers involved with complex projects, together with an exploration of the literature reveals a wide range of factors that may contribute to project complexity. We argue that these factors contributing to project complexity may define in terms of dimensions, or source characteristics, which are in turn subject to a range of severity factors. In addition to investigating definitions and models of complexity from the literature and in the field, this study also explores the problematic issues of ‘measuring’ or assessing complexity. A research agenda is proposed to further the investigation of phenomena reported in this initial study.

Dimensions of the third sector : comparative perspectives on structure and change

Cross-nationally, the introduction of New Public Management coincides with a significant growth phase of the nonprofit or third sector. This growth has disproportionately been an expansion of the economic dimensions (employment, turnover) and basically involved the greater use of third sector organisations as service providers. Such provision uses complex contract regimes, and typically takes place in some form of public-private partnership with either public or private funding agencies. Other parts of the third sector such as membership, volunteering and giving have generally grown less. The paper suggests that the sector is becoming qualitatively different, although the nature and strength of this change depends on the nonprofit regime type in a given country. Generally, however, third sector growth has led to differentiation processes that involve new organisational forms, and changes in activities and overall composition. The paper explores the measurement aspects of the quantitative-qualitative jump in third sector development by trying to "map" changes in core facts or dimensions over time. In closing, the paper suggests to examine recombination and refunctionality processes in the third sector.