Fractal Functions, Fractal Surfaces, and Wavelets by Peter R. Massopust

By Peter R. Massopust

Fractal services, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the idea of neighborhood iterated functionality platforms, neighborhood fractal features and fractal surfaces, and their connections to wavelets and wavelet units. The publication is predicated on Massopust’s paintings on and contributions to the speculation of fractal interpolation, and the writer makes use of a couple of tools—including research, topology, algebra, and likelihood theory—to introduce readers to this interesting topic.

Though a lot of the cloth offered during this publication is comparatively present (developed long ago many years through the writer and his colleagues) and reasonably really expert, an informative history is equipped for these coming into the sector. With its coherent and finished presentation of the speculation of univariate and multivariate fractal interpolation, this booklet will attract mathematicians in addition to to utilized scientists within the fields of physics, engineering, biomathematics, and computing device technological know-how. during this moment version, Massopust comprises pertinent program examples, extra discusses neighborhood IFS and new fractal interpolation or fractal information, additional develops the connections to wavelets and wavelet units, and deepens and extends the pedagogical content.

  • Offers a finished presentation of fractal capabilities and fractal surfaces
  • Includes newest advancements in fractal interpolation
  • Connects fractal geometry with wavelet theory
  • Includes pertinent program examples, extra discusses neighborhood IFS and new fractal interpolation or fractal information, and extra develops the connections to wavelets and wavelet sets
  • Deepens and extends the pedagogical content

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