Results 41 to 50 of about 19,468 (302)
Iterated Relation Systems on Riemannian Manifolds
For fractals on Riemannian manifolds, the theory of iterated function systems often does not apply well directly, as these fractal sets are often defined by relations that are multivalued or non-contractive.
Jie Liu, Sze-Man Ngai, Lei Ouyang
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Cyclic generalized iterated function systems
In this article, we introduce the notion of cyclic generalized iterated function system (GIFS), which is a family of functions f(1), f(2), ..., f(M): X-k -> X, where each f(i) is a cyclic generalized phi-contraction (contractive) map on a collection of subsets {B-j}(j=1)(p) of a complete metric space (X, d) respectively, and k, M, p are natural numbers.
Rajan Pasupathi +3 more
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The Global Structure of Iterated Function Systems [PDF]
I study sets of attractors and non-attractors of finite iterated function systems. I provide examples of compact sets which are attractors of iterated function systems as well as compact sets which are not attractors of any iterated function system.
Snyder, Jason Edward
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Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems
We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems.
T. Dinevari, M. Frigon
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Weak θ-contractions and some fixed point results with applications to fractal theory
In this paper, we define weak θ-contractions on a metric space into itself by extending θ-contractions introduced by Jleli and Samet (J. Inequal. Appl.
Mohammad Imdad +2 more
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Parabolic Iterated Function Systems [PDF]
In this paper we introduce and explore conformal parabolic iterated function systems. We define and study topological pressure, Perron-Frobenius type operators, semiconformal and conformal measures and the Hausdorff dimension of the limit set. With every
M. Urbanski, R. D. Mauldin
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ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
On Bounding Boxes of Iterated Function System Attractors [PDF]
[[abstract]]Before rendering 2D or 3D fractals with iterated function systems, it is necessary to calculate the bounding extent of fractals. We develop a new algorithm to compute the bounding box which closely contains the entire attractor of an iterated
H. T. Chu ; C. C. Chen
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ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
wiley +1 more source
Iterated function systems and shape representation [PDF]
We propose the use of iterated function systems as an isomorphic shape representation scheme for use in a machine vision environment. A concise description of the basic theory and salient characteristics of iterated function systems is presented and from
Giles, Paul A.
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