MATHEMATICAL VISUALIZATION AND ANALYSIS TECHNIQUES FOR ENTREPRENEURSHIP STUDIES: IMAGE PROCESSING IN THE UNITED STATES, EUROPE, JAPAN AND AUSTRALIA

Abstract

ABSTRACT Statistics and computer graphics, using linear and non-linear techniques, have been applied to entrepreneurial survey data in a study of the image-analysis industry. Chief Executive Officers and Directors of Research have been interviewed in the United States, Europe, Japan and Australia. During the interview, a long questionnaire was completed. A mathematical model in terms of motivation, resources and performance measures has been developed to evaluate company positioning, and for future implementation as an expert system for high-technology investment evaluation. A set of indices derived, using cluster and principal component analyses, describe groupings of variables which can be used to find the locus of a company position in an n-dimensional space. This position helps establish whether the requisite technical, knowledge, marketing and financial infrastructures of the company are in keeping with the n-dimensional surfaces established by other companies in the field. These surfaces are then vi...