Abstract
This chapter discusses fractal interpolation functions. The fractal dimension of the graphs of Euclidean functions is always 1; these elementary Euclidean functions are useful not only because of their geometrical content but also because they can be expressed by simple formulas. Moreover, elementary functions are used extensively in scientific computation, computer-aided design, and data analysis because they can be stored in small files and computed by fast algorithms. The graphs of these functions can be used to approximate image components; rather than treating the image component as arising from a random assemblage of objects, it can be well defined using fractal interpolation functions. Fractal interpolation functions also provide a new means for fitting experimental data. Fractal interpolation functions share with elementary functions that they are of a geometrical character, that they can be represented succinctly by formulas, and that they can be computed rapidly. The main difference is their fractal character.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
