A5016602912- Medical Image Segmentation Techniques
- Advanced Mathematical Modeling in Engineering
- Point processes and geometric inequalities
- Image and Signal Denoising Methods
- Numerical methods in inverse problems
- Mathematical Dynamics and Fractals
- Mathematical Approximation and Integration
- Generative Adversarial Networks and Image Synthesis
- Advanced Numerical Analysis Techniques
- Fault Detection and Control Systems
- Diffusion and Search Dynamics
- Advanced Image Processing Techniques
- Anomaly Detection Techniques and Applications
- Mathematical Biology Tumor Growth
- Cell Image Analysis Techniques
- Adversarial Robustness in Machine Learning
- Game Theory and Applications
- Molecular Spectroscopy and Structure
- Advanced Harmonic Analysis Research
- Spinal Hematomas and Complications
- Abdominal Surgery and Complications
- Advanced Statistical Methods and Models
- Forecasting Techniques and Applications
- Stoma care and complications
- Reliability and Maintenance Optimization
Ho Chi Minh City University of Technology
2023-2025
Vietnam National University Ho Chi Minh City
2019-2025
Texas Tech University
2023-2024
Texas Tech University Health Sciences Center
2023-2024
The University of Texas of the Permian Basin
2024
University Medical Center HCMC
2023-2024
University of Maryland, College Park
2023
Creative Commons
2023
Primary Source
2023
Ho Chi Minh City Medicine and Pharmacy University
2023
Can images be decomposed into the sum of a geometric part and textural part? In theoretical breakthrough, [Y. Meyer, Oscillating Patterns in Image Processing Nonlinear Evolution Equations. Providence, RI: American Mathematical Society, 2001] proposed variational models that force space functions with bounded variation, oscillatory distributions. Meyer's are simple minimization problems extending famous total variation model. However, their numerical solution has proved challenging. It is...
This paper is devoted to the decomposition of an image f into u + v, with a piecewise-smooth or "cartoon" component, and v oscillatory component (texture noise), in variational approach. Meyer [Oscillating Patterns Image Processing Nonlinear Evolution Equations, Univ. Lecture Ser. 22, AMS, Providence, RI, 2001] proposed refinements total variation model (Rudin, Osher, Fatemi [Phys. D, 60 (1992), pp. 259--268]) that better represent part v: spaces generalized functions $G = {\rm...
Online learning has emerged as a prominent trend in modern education, driven by its flexibility, accessibility, and capacity to support personalized experiences. However, despite these advantages, one of the most pressing challenges it faces lies maintaining accurately evaluating quality teaching learning. A particularly critical aspect is assessment learner engagement virtual environments. In fact, traditional approaches assessing student engagement, which depend on synchronous,...
In this article we give a thorough description of the algorithm proposed in [A. Buades, T. Le, J.M. Morel and L. Vese, Fast cartoon + texture image filters, IEEE Transactions on Image Processing, 2010] for cartoon+texture decomposition using nonlinear low pass-high pass filter pair.
This paper is devoted to the decomposition of an image f into u + v, with a piecewise-smooth or "cartoon" component, and v oscillatory component (texture noise), in variational approach.The cartoon modeled by function bounded variation, while usually represented square integrable function, now being more refined weaker texture norm, as distribution.Generalizing idea Y. Meyer [34], wherewe model here action Riesz potentials on that belongs BM O L p .In earlier work [28], authors proposed...
In this paper it is shown that an Ahlfors-David $n$-dimensional measure $\mu$ on $\mathbb {R}^d$ uniformly $n$-rectifiable if and only for any ball $B(x_0,R)$ centered at $\operatorname {supp}(\mu )$, \[ \int _0^R _{x\in B(x_0,R)} \left |\frac {\mu (B(x,r))}{r^n} - \frac (B(x,2r))}{(2r)^n} \right |^2 d\mu (x) {dr}r \leq c R^n.\] Other characterizations of uniform $n$-rectifiability in terms smoother square functions are also obtained.
Objective:Rare disease Background:Pneumatosis intestinalis (PI) is an uncommon condition that not specific to any particular disease.Currently, there no clinical guideline for treating and diagnosing PI.Furthermore, are numerous causes of PI, which makes it difficult clinicians -internal medicine physicians as well surgeons -to take a approach diagnosis treatment. Case Reports:We present 3 scenarios with PI.In the first patient was solitary image treated successfully parenteral nutrition...
Given a collection of entities (or nodes) in network and our intermittent observations activities from each entity, an important problem is to learn the hidden edges depicting directional relationships among these entities. Here, we study causal (excitations) that are realized by multivariate Hawkes process (MHP). The MHP its variations (spatio-temporal point processes) have been used contagion earthquakes, crimes, neural spiking activities, stock foreign exchange markets, so on. In this...
Abstract In this article, we investigate the backward heat problem (BHP) which is a classical ill-posed problem. Although there are many papers relating to BHP in domains, considering polar coordinates still scarce. Therefore, wish deal with associated space and time-dependent source coordinates. By modifying quasi-boundary value method, propose stable solution for Furthermore, under some initial assumptions, get Hölder type of error estimates between exact approximated solution. Eventually,...
This work is devoted to new computational models for image segmentation, restoration and decomposition. In particular, we partition an into piecewise-constant regions using energy minimization curve evolution approaches. Applications of denoising-segmentation in polar coordinates (motivated by impedance tomography) segmentation brain images will be presented. Also, decompose a natural cartoon or geometric component oscillatory texture variational approach dual functionals. Thus, methods...
Recently, studies suggest that the protective effects of Lactobacillus within female reproductive tract may be partly due to their ability form biofilms. This study aims explore possibility can produce key mediators further bolster survival biofilms in human vaginal microbiomes. Three bacterial species, namely, gasseri, L. crispatus, and jensenii, sourced from subjects were used carry out experiments examining growth using a microfermenter system. The bacteria inoculate glass rod spatula...