This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and hyperplanes in projective space leads to c...

We study Markov processes generated by iterated function systems (IFS). The constituent maps of the IFS are monotonic transformations of the interval with common fixed points at 0 and 1. We first obtain an upper bound on the number of SRB (Sinai-Ruelle-Bowen) measures for the IFS. Then theorems are given to analyze properties of the ergodic invariant measures δ0 and δ1. In particular, sufficien...

There are limited data on the impact of feedback of incidental findings Background (IFs) from research imaging. We evaluated the impact of UK Biobank’s protocol for handling potentially serious IFs in a multi-modal imaging study of 100,000 participants (radiographer ‘flagging’ with radiologist confirmation of potentially serious IFs) compared with systematic radiologist review of all images. : ...

Infantile fibrosarcoma (IFS) is a rare pediatric cancer typically presenting in the first 2 years of life. Surgical resection is usually curative and chemotherapy is active against gross residual disease. However, when recurrences occur, therapeutic options are limited. We report a case of refractory IFS with constitutive activation of the tropomyosin-related kinase (TRK) signaling pathway from...

In recent years Image Fractal Compression techniques (IFS) have gained more interest because of their capability to achieve high compression ratios while maintaining very good quality of the reconstructed image. The main drawback of such techniques is the very high computing time needed to determine the compressed code. In this work, after a brief description of IFS theory, we introduce the coe...

Robert D. Dony1 Edward R. Vrscay2 1School of Engineering University of Guelph Guelph, ON N1G 2W1 email: [email protected] 2Deptartment of Applied Mathematics University of Waterloo Waterloo, ON N2L 2G1 email: [email protected] ABSTRACT This paper examines the relationship between iterated function systems (IFS), a fractal approach to image compression, and mixutre of principal compone...

It took more than 100 years before it was established that the proteins that form intermediate filaments (IFs) comprise a unified protein family, the members of which are ubiquitous in virtually all differentiated cells and present both in the cytoplasm and in the nucleus. However, during the past 2 decades, knowledge regarding the functions of these structures has been expanding rapidly. Many ...

FOLPI is a Linear Programming-based planning system that can be used by forest managers without a detailed knowledge of Linear Programming (LP). It is compatible with IFS, an interactive forest simulator widely used by the New Zealand Forest Service. The system allows the user to state the problem in forestry terms, within a framework similar to that used by IFS. The problem statement is automa...

Abstract: A hyperbolic iterated function system (IFS) whose attractor is the graph of a continuous function f : [a, b] × [c, d] → R that interpolates the given data in R is considered. The function f is called the bivariate fractal interpolation function (FIF) arising from the IFS and the graph of f which is a surface in R is called the bivariate fractal interpolation surface (FIS). By introduc...

We report here the genetic findings of a new isolated familial somatotropinoma (IFS) kindred in which the mother (subject I:2) and one daughter (subject II:2) are affected; their ages at diagnosis were 25 and 14 years respectively. Additionally, patient I:2 developed virilization due to an androgen-secreting adrenocortical mass, presenting clinical and molecular features of sporadic adrenal car...