A5068088169- Mathematics and Applications
- Point processes and geometric inequalities
- Geometric Analysis and Curvature Flows
- Computational Geometry and Mesh Generation
- Advanced Numerical Analysis Techniques
- History and Theory of Mathematics
- Digital Image Processing Techniques
- Geometric and Algebraic Topology
- Advanced Differential Geometry Research
- Lung Cancer Diagnosis and Treatment
- Glioma Diagnosis and Treatment
- Advanced Radiotherapy Techniques
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Radiomics and Machine Learning in Medical Imaging
- Topological and Geometric Data Analysis
- Lung Cancer Treatments and Mutations
- Analytic and geometric function theory
- Brain Metastases and Treatment
- Head and Neck Cancer Studies
- Morphological variations and asymmetry
- graph theory and CDMA systems
- Mathematical Dynamics and Fractals
- Digital Radiography and Breast Imaging
- Medical Imaging Techniques and Applications
- Optimization and Variational Analysis
Budapest University of Technology and Economics
2014-2024
Eötvös Loránd University
1992-2022
Mathematical Institute of the Slovak Academy of Sciences
2012-2014
University of Debrecen
2005-2010
Budapest Institute
1992-2000
Országos Reumatológiai és Fizioterápiás Intézet
2000
National Institute of Oncology
2000
Central State Hospital
1985
To determine the expression of endogenous adhesion/growth-regulatory lectins and their binding sites using labeled tissue as well profile hyaluronic acid an approach to define new prognostic markers.Sections paraffin-embedded histological material 481 lungs from lung tumor patients following radical excision processed by a routine immunohistochemical method (avidin-biotin labeling, DAB chromogen). Specific antibodies against galectins-1 -3 heparin-binding lectin were tested. Staining...
This article aims to study the class of strongly self-dual polytopes (ssd-polytopes for short), defined in a paper by Lov\'asz \cite{lovasz}. He described series such (called $L$-type polytopes), which he used solve combinatorial problem. From geometrical point view, there are interesting questions: what additional elements this exist, and any with different structure from ones? We show that dimension three, one their faces defines polyhedra. Illustrating algorithm proof, we present an...
Abstract A central problem of geometry is the tiling space with simple structures. The classical solutions, such as triangles, squares, and hexagons in plane cubes other polyhedra three-dimensional are built sharp corners flat faces. However, many tilings Nature characterized by shapes curved edges, nonflat faces, few, if any, corners. An important question then to relate prototypical softer natural shapes. Here, we solve this introducing a new class shapes, soft cells, minimizing number...
The purpose of our study is to prove that eliminating bone shadows from chest radiographs can greatly improve the accuracy automated lesion detection. To free images rib and clavicle shadows, they are first segmented using a dynamic programming approach. eliminated in difference space. cleaned processed by hybrid detector based on gradient convergence, contrast intensity statistics. False findings Support Vector Machine. Our method eliminate approximately 80% (84% for posterior part) with an...
Using the method of C. Vörös, we establish results on hyperbolic plane geometry, related to triangles. In this note investigate orthocenter, concept isogonal conjugate and some further center as symmedian a triangle. We also role "Euler line" pseudo-centers
It is well known that the description of topological and geometric properties bisectors in normed spaces a non-trivial subject.In this paper we introduce concept bounded representation finite-dimensional real Banach spaces.This useful notion combines concepts bisector shadow boundary unit ball, both corresponding with same spatial direction.The visualizes connection between topology boundaries (Proposition 2) gives possibility to simplify extend some results on radial projections...
Abstract The “old-new” concept of a convex-hull function was investigated by several authors in the last seventy years. A recent research on it led to some other volume functions as covariogram function, widthness or so-called brightness functions, respectively. very interesting fact that there are many long-standing open problems connected with these whose serious investigation closed before “age computers”. In this survey, we concentrate only three-dimensional case; will mention most...
Lung cancer has the highest mortality rate among all types, and it especially high occurrence in Hungary. Low-dose computed tomography (LDCT) been proved to be a beneficial screening method for lung cancer, decreasing by 20 %. Because of intensifying fears from X-ray radiation, there is need develop other modalities that might work with less radiation have similar sensitivity nodule finding. Digital tomosynthesis (DTS) may such modality can real alternative LDCT. The goal this article...
Abstract We regard a smooth, $$d=2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> -dimensional manifold $$\mathcal {M}$$ <mml:mi>M</mml:mi> and its normal tiling M , the cells of which may have non-smooth or smooth vertices (at latter, two edges meet at 180 degrees.) denote average number (per cell) by $$\bar{v}^{\star }$$ <mml:msup> <mml:mover> <mml:mi>v</mml:mi> <mml:mo>¯</mml:mo>...
Abstract In hyperbolic geometry there are several concepts to measure the breadth or width of a convex set. first part paper we collect them and compare their properties. Than introduce new concept thickness body. Correspondingly, define three classes bodies, bodies constant with, diameter having shadow property, respectively. We prove that property follows fulfilment both stronger as width. last this paper, body variant Blaschke’s theorem on larger circle inscribed plane-convex given diameter.