Parameter identification of 1D fractal interpolation functions using bounding volumes
نویسندگان
چکیده
منابع مشابه
Parameter identification and algorithmic construction of fractal interpolation functions: Applications in digital imaging and visualization
This dissertation examines the theory and applications of fractal interpolation. Its main contribution is the parameter identification, algorithmic construction and applications of fractal interpolation. We focus on the self-affine and piecewise self-affine fractal interpolation functions that are based on the theory of iterated function systems. Specifically, we present two novel methods for p...
متن کاملSuper Fractal Interpolation Functions
Abstract: In the present work, the notion of Super Fractal Interpolation Function (SFIF) is introduced for finer simulation of the objects of nature or outcomes of scientific experiments that reveal one or more structures embedded in to another. In the construction of SFIF, an IFS is chosen from a pool of several IFSs at each level of iteration leading to implementation of the desired randomnes...
متن کاملSpectrum of Fractal Interpolation Functions
where (x, y) ∈ S. The effects of an affine transform on a set are depicted in fig. 1. The union of N affine transformations is called the Hutchinson operator: W = ⋃N n=1 wn. For a specified metric the distance h(A, B) between two sets A, B can be defined. Under certain conditions [2] the Hutchinson operator is contractive, h(W (A),W (B)) ≤ sh(A, B), s < 1. Successive iterations with Hutchinson ...
متن کاملGeneralization of Hermite functions by fractal interpolation
Fractal interpolation techniques provide good deterministic representations of complex phenomena. This paper approaches the Hermite interpolation using fractal procedures. This problem prescribes at each support abscissa not only the value of a function but also its first p derivatives. It is shown here that the proposed fractal interpolation function and its first p derivatives are good approx...
متن کاملEfficient contour shape description by using fractal interpolation functions
This paper presents a novel representation method for contour shape using Fractal Interpolation Functions (FIF). In the traditional idea of the FIF, the scope of its application has been limited to the case where the signal is represented by a single-valued function. Therefore, the traditional FIF cannot be applicable to multiple-valued signals. The proposed method can model a multiple-valued s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.08.115