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Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

Rapid growth in the field of quantitative digital image analysis is paving the way for researchers to make precise measurements about objects in an image. To compute quantities from the image such as the density of compressed materials or…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Marylesa Howard , Margaret C. Hock , B. T. Meehan , Leora Dresselhaus-Cooper

Mapper, a topological algorithm, is frequently used as an exploratory tool to build a graphical representation of data. This representation can help to gain a better understanding of the intrinsic shape of high-dimensional genomic data and…

Genomics · Quantitative Biology 2023-07-19 Erik J. Amézquita , Farzana Nasrin , Kathleen M. Storey , Masato Yoshizawa

We consider discretized two-dimensional PDE-constrained shape optimization problems, in which shapes are represented by triangular meshes. Given the connectivity, the space of admissible vertex positions was recently identified to be a…

Optimization and Control · Mathematics 2023-08-17 Roland Herzog , Estefanía Loayza-Romero

We present a novel formulation for the calibration of a biophysical tumor growth model from a single-time snapshot, MRI scan of a glioblastoma patient. Tumor growth models are typically nonlinear parabolic partial differential equations…

Quantitative Methods · Quantitative Biology 2020-06-30 Klaudius Scheufele , Shashank Subramanian , Andreas Mang , George Biros , Miriam Mehl

In density-based topology optimization, design variables associated to the boundaries of the design domain require unique treatment to negate boundary effects arising from the filtering technique. An effective approach to deal with…

Numerical Analysis · Mathematics 2021-01-27 Prabhat Kumar , Eduardo Fernández

Tumors can manifest in various forms and in different areas of the human body. Brain tumors are specifically hard to diagnose and treat because of the complexity of the organ in which they develop. Detecting them in time can lower the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-18 Antonio Curci , Andrea Esposito

Segmenting a MRI images into homogeneous texture regions representing disparate tissue types is often a useful preprocessing step in the computer-assisted detection of breast cancer. That is why we proposed new algorithm to detect cancer in…

Computer Vision and Pattern Recognition · Computer Science 2010-01-26 H. B. Kekre , Tanuja K. Sarode , Saylee M. Gharge

The problem of the onset and growth of solid tumour in homogeneous tissue is regarded using an approach based on local interaction between the tumoral and the sane tissue cells. The characteristic sizes and growth rates of spherical…

Cell Behavior · Quantitative Biology 2007-05-23 R. G. Khlebopros , V. A. Slepkov , V. G. Sukhovolsky , Y. V. Mironov , V. E. Fedorov , S. P. Gabuda

Thermal tomography is an imaging technique for deducing information about the internal structure of a physical body from temperature measurements on its boundary. This work considers time-dependent thermal tomography modeled by a parabolic…

Numerical Analysis · Mathematics 2017-07-25 Nuutti Hyvönen , Lauri Mustonen

Using formal asymptotic methods we derive a free boundary problem representing one of the simplest mathematical descriptions of the growth and death of a tumour or other biological tissue. The mathematical model takes the form of a closed…

Tissues and Organs · Quantitative Biology 2019-07-16 Joe Eyles , John F. King , Vanessa Styles

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Nicolò Pollini , Oded Amir

This paper proposes topology optimization for considering shielding and penetrating features. Based on the fictitious physical model, which is a useful approach to control geometric features, the proposed method analyzes fictitious…

Optimization and Control · Mathematics 2025-02-11 Daiki Soma , Kota Sakai , Takayuki Yamada

We revisit the problem of identifying an unknown portion of a boundary subject to a Robin condition based on a pair of Cauchy data on the accessible part of the boundary. It is known that a single measurement may correspond to infinitely…

Numerical Analysis · Mathematics 2026-05-14 Mustapha Essahraoui , El Mehdi Cherrat , Lekbir Afraites , Julius Fergy Tiongson Rabago

Automatic segmentation of glioma and its subregions is of great significance for diagnosis, treatment and monitoring of disease. In this paper, an augmentation method, called TensorMixup, was proposed and applied to the three dimensional…

Image and Video Processing · Electrical Eng. & Systems 2022-02-21 Yu Wang , Yarong Ji , Hongbing Xiao

In oncology, Positron Emission Tomography imaging is widely used in diagnostics of cancer metastases, in monitoring of progress in course of the cancer treatment, and in planning radiotherapeutic interventions. Accurate and reproducible…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Jakub Czakon , Filip Drapejkowski , Grzegorz Zurek , Piotr Giedziun , Jacek Zebrowski , Witold Dyrka

Brain tumors are one of the deadliest forms of cancer with a mortality rate of over 80%. A quick and accurate diagnosis is crucial to increase the chance of survival. However, in medical analysis, the manual annotation and segmentation of a…

Image and Video Processing · Electrical Eng. & Systems 2024-03-18 Zachary Schwehr , Sriman Achanta

We propose a Transformer architecture for volumetric segmentation, a challenging task that requires keeping a complex balance in encoding local and global spatial cues, and preserving information along all axes of the volume. Encoder of the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-04 Himashi Peiris , Munawar Hayat , Zhaolin Chen , Gary Egan , Mehrtash Harandi

This research presents an enhanced approach for precise segmentation of brain tumor masses in magnetic resonance imaging (MRI) using an advanced 3D-UNet model combined with a Context Transformer (CoT). By architectural expansion CoT, the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Thien-Qua T. Nguyen , Hieu-Nghia Nguyen , Thanh-Hieu Bui , Thien B. Nguyen-Tat , Vuong M. Ngo

Using fiducial markers on patient's body surface to predict the tumor location is a widely used approach in lung cancer radiotherapy. The purpose of this work is to propose an algorithm that automatically identifies a sparse set of…

Medical Physics · Physics 2015-06-04 Bin Dong , Yan Jiang Graves , Xun Jia , Steve B. Jiang