Personalized eye protection for head CT organ-based tube current modulation: A deep learning approach to derive 3D eyeball models from a single-view topogram. [PDF]
J Appl Clin Med PhysAbstract Background The lens of the eye is highly radiosensitive, yet personalized shielding during head CT remains challenging due to the lack of a rapid, pre‐scan localization method. Purpose To develop and validate a deep learning solution that enables automated, patient‐specific eye protection by generating a precise 3D eyeball model directly from ...
Meng X, Zhu L, Chen S, Liu M, Wang Y.
europepmc +2 more sources
Hausdorff-Distance Enhanced Matching of Scale Invariant Feature Transform Descriptors in Context of Image Querying [PDF]
, 2012 Reliable and effective matching of visual descriptors is a key step for many vision applications, e.g. image retrieval. In this paper, we propose to integrate the Hausdorff distance matching together with our pairing algorithm, in order to obtain a ...
D. Wilson +3 more
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Codimension formulae for the intersection of fractal subsets of Cantor spaces [PDF]
, 2015 We examine the dimensions of the intersection of a subset E of an m-ary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric.
Falconer, Kenneth John, Donoven, Casey
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Hölder differentiability of self-conformal devil's staircases [PDF]
, 2014 In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase) applied to a compact subset of ℝ. We use thermodynamic multifractal formalism to
Troscheit, S., Sascha Troscheit
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Directed graph iterated function systems [PDF]
, 2011 This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
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Dimension and measure for generic continuous images [PDF]
, 2013 This work is supported by EPSRC Doctoral Training GrantsWe consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n.
James T. Hyde +9 more
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Dimension and measure theory of self-similar structures with no separation condition [PDF]
, 2015 We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition.
Farkas, Ábel
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Exact dimensionality and projections of random self-similar measures and sets [PDF]
, 2014 We study the geometric properties of random multiplicative cascade measures defined on self-similar sets. We show that such measures and their projections and sections are almost surely exact dimensional, generalizing a result of Feng and Hu's for self ...
Jin, Xiong +4 more
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The geometry of self-affine fractals [PDF]
, 2009 In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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Bayesian Updating for Stochastic Processes in Infinite-Dimensional Normed Vector Spaces
AxiomsIn this paper, we introduce a generalized framework for conditional probability in stochastic processes taking values in infinite-dimensional normed spaces.
Serena Doria
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