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Advances in computing technology have allowed researchers across many fields of endeavor to collect and maintain vast amounts of observational statistical data such as clinical data, biological patient data, data regarding access of web…

Computer Vision and Pattern Recognition · Computer Science 2014-01-24 Narkhede Sachin G , Vaishali Khairnar

In this paper, we propose a system to detect brain tumor in 3D MRI brain scans of Flair modality. It performs 2 functions: (a) predicting gray-level and locational distributions of the pixels in the tumor regions and (b) generating tumor…

Image and Video Processing · Electrical Eng. & Systems 2024-03-20 Yanming Sun , Chunyan Wang

An inverse scattering problem is formulated for reconstructing optical properties of biological tissues. A recursive linearization algorithm is used to solve the inverse scattering problem. We employed the idea of finite element boundary…

Numerical Analysis · Mathematics 2014-04-30 Ying Li

Image segmentation is a crucial step in a wide range of method image processing systems. It is useful in visualization of the different objects present in the image. In spite of the several methods available in the literature, image…

Computer Vision and Pattern Recognition · Computer Science 2013-07-18 I. Laurence Aroquiaraj , K. Thangavel

A fundamental problem in computer vision is boundary estimation, where the goal is to delineate the boundary of objects in an image. In this paper, we propose a method which jointly incorporates geometric and topological information within…

Image and Video Processing · Electrical Eng. & Systems 2022-06-06 Hengrui Luo , Justin Strait

This study revisits the problem of identifying the unknown interior Robin boundary of a connected domain using Cauchy data from the exterior region of a harmonic function. It investigates two shape optimization reformulations employing…

Numerical Analysis · Mathematics 2024-04-09 Lekbir Afraites , Julius Fergy Tiongson Rabago

We present a fast and reliable algorithm that gives precise location of breast tumours for a partial mastectomy. Our algorithm is fully implemented in the Surface Evolver, which is a general-purpose simulator of physical experiments. By…

Image and Video Processing · Electrical Eng. & Systems 2019-12-02 Marcelo Zanchetta do Nascimento , Valério Ramos Batista

The aim of electrical impedance tomography is to reconstruct the admittivity distribution inside a physical body from boundary measurements of current and voltage. Due to the severe ill-posedness of the underlying inverse problem, the…

Analysis of PDEs · Mathematics 2022-07-19 Jérémi Dardé , Nuutti Hyvönen , Aku Seppänen , Stratos Staboulis

Tumor shape plays a critical role in influencing both growth and metastasis. We introduce a novel topological radiomic feature derived from persistent homology to characterize tumor shape, focusing on its association with time-to-event…

Methodology · Statistics 2025-12-08 Yuhyeong Jang , Tu Dan , Eric Vu , Chul Moon

In this paper, we consider a mathematical model for the invasion of host tissue by tumour cells in a $d$-dimensional bounded domain, $d\leq 3$. This model consists of a system of differential equations describing the evolution of cancer…

Numerical Analysis · Mathematics 2020-07-21 Viviana Niño-Celis , Diego Armando Rueda-Gómez , Élder Jesús Villamizar Roa

Digital analysis of mammographic images is a complementary tool to clinical evaluation, commonly used to identify tumors and/or microcalcifications in mammograms. Recent mammographic equipment, can automatically classify them using this…

The brain is a complex organ controlling cognitive process and physical functions. Tumors in the brain are accelerated cell growths affecting the normal function and processes in the brain. MRI scans provides detailed images of the body…

Image and Video Processing · Electrical Eng. & Systems 2020-03-20 Miriam Zulema Jacobo , Jose Mejia

We propose an immersed boundary scheme for the numerical resolution of the Complete Electrode Model in Electrical Impedance Tomography, that we use as a main ingredient in the resolution of inverse problems in medical imaging. Such method…

Numerical Analysis · Mathematics 2023-05-24 Jérémi Dardé , Niami Nasr , Lisl Weynans

Surgical automation has the potential to enable increased precision and reduce the per-patient workload of overburdened human surgeons. An effective automation system must be able to sense and map subsurface anatomy, such as tumors,…

Robotics · Computer Science 2021-10-13 Brian Y. Cho , Tucker Hermans , Alan Kuntz

In this paper we present a method for estimating unknown parameters that appear on an avascular, spheric tumour growth model. The model for the tumour is based on nutrient driven growth of a continuum of live cells, whose birth and death…

Mathematical Physics · Physics 2012-09-14 D. A. Knopoff , D. R. Fernández , G. A. Torres , C. V. Turner

Cooperative geolocation has attracted significant research interests in recent years. A large number of localization algorithms rely on the availability of statistical knowledge of measurement errors, which is often difficult to obtain in…

Applications · Statistics 2017-01-05 Xiufang Shi , Guoqiang Mao , Brian. D. O. Anderson , Zaiyue Yang , Jiming Chen

Computed tomography is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for computed tomography are based on idealized models and assumptions that…

Numerical Analysis · Mathematics 2022-03-03 Frederik H. Pedersen , Jakob S. Jørgensen , Martin S. Andersen

Segmentation of tumors in brain MRI images is a challenging task, where most recent methods demand large volumes of data with pixel-level annotations, which are generally costly to obtain. In contrast, image-level annotations, where only…

Image and Video Processing · Electrical Eng. & Systems 2019-11-07 Sergey Pavlov , Alexey Artemov , Maksim Sharaev , Alexander Bernstein , Evgeny Burnaev

In this paper, we develop a sharp interface tumor growth model in two dimensions to study the effect of both the intratumoral structure using a controlled necrotic core and the extratumoral nutrient supply from vasculature on tumor…

Numerical Analysis · Mathematics 2022-03-30 Min-Jhe Lu , Wenrui Hao , Chun Liu , John Lowengrub , Shuwang Li

This work focuses on numerically solving a shape identification problem related to advection-diffusion processes with space-dependent coefficients using shape optimization techniques. Two boundary-type cost functionals are considered, and…

Optimization and Control · Mathematics 2025-04-23 Elmehdi Cherrat , Lekbir Afraites , Julius Fergy Tiongson Rabago
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