E. R. Vrscay. Mathematical theory of generalized fractal transforms and associated inverse problems. In Proceedings of ImageTech 96 Conference on Multimedia Imaging Technology and Applications, Atlanta, GA, 1996. Home/Search Document Details and Download
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Two- and Three-Dimensional Coding Schemes for Wavelet and.. - Alexander (2001) (Correct)
....theorem give upper and lower bounds on the approximation error h(A, thus a non zero collage error ensures a positive approximation error. In general, optimizing the collage distance does not result in optimal maps. A detailed discussion of inverse problems for IFS may be found in [58], 26] where a generalized fractal transform is discussed. 2.7 IFS on Grey Level Maps The IFS demonstrated on the Hausdorff metric have fixed points that are sets. Hence only binary pixels may be represented this way; a pixel is either in the set or it is not. Such images are called ....
....to provide a way around this problem. This section briefly describes the application of IFS method over an appropriate function space F(X) Typically, signals are represented (R) in practice, the space of functions is often (R) A detailed discussion of IFSM may be found in [26] [58]. Or colour, as will be addressed later. 2.7. IFS ON GREY LEVEL MAPS 54 Definition 2.11 (IFSM) An (N map) Iterated Function Systems on Grey Level Maps (IFSM) consists of a complete metric space (X, d) and two components 1. IFS component: w = where each w n : X X is a contraction with ....
E. R. Vrscay. Mathematical theory of generalized fractal transforms and associated inverse problems. In Proceedings of ImageTech 96 Conference on Multimedia Imaging Technology and Applications, Atlanta, GA, 1996.
A Generalized Class of Fractal-Wavelet Transforms for Image.. - Vrscay (1998) (2 citations) Self-citation (Vrscay) (Correct)
....Y (y; y) to be small (to within a multiplicative factor) The inverse problem for fractal approximation may then be rephrased as follows: Given a y 2 Y and a ffi 0, find a contraction mapping f 2 Con(Y ) such that d Y (f(y) y) ffi. This study is concerned with an indirect inverse problem [15, 36]: Instead of directly constructing approximations to an image function, we construct approximations to a faithful representation of the function, namely its wavelet expansion. Inverse problems employing Fourier transforms of functions or moments of probability measures may also be formulated [15, ....
....36] Instead of directly constructing approximations to an image function, we construct approximations to a faithful representation of the function, namely its wavelet expansion. Inverse problems employing Fourier transforms of functions or moments of probability measures may also be formulated [15, 36]. Here, the space (Y; d Y ) will be a suitable subset of Q the set of all squaresummable 2D wavelet coefficients. The relevant contraction maps in Con(Y ) will be the IFSW operators defined in Eq. 33) In what follows we let v 2 L 2 0 (R 2 ) denote the target image function and a 2 Q its ....
E.R. Vrscay, Mathematical theory of generalized fractal transforms and associated inverse problems, Proceedings of ImageTech 96 Conference on Multimedia Imaging Technology and Applications, Atlanta, GA, March 17-20 (1996).
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