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Social and Behavioral Sciences Commons

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Full-Text Articles in Social and Behavioral Sciences

Triangulation And Finite Element Method For A Variational Problem Inspired By Medical Imaging, Tim Komperda, Enrico Au-Yeung Aug 2021

Triangulation And Finite Element Method For A Variational Problem Inspired By Medical Imaging, Tim Komperda, Enrico Au-Yeung

DePaul Discoveries

We implement the finite element method to solve a variational problem that is inspired by medical imaging. In our application, the domain of the image does not need to be a rectangle and can contain a cavity in the middle. The standard approach to solve a variational problem involves formulating the problem as a partial differential equation. Instead, we solve the variational problem directly, using only techniques available to anyone familiar with vector calculus. As part of the computation, we also explore how triangulation is a useful tool in the process.


Geological Lineament Assessment From Passive And Active Remote Sensing Imageries, Ainyyafiatty Arifin, Nor A. Adnan Jul 2021

Geological Lineament Assessment From Passive And Active Remote Sensing Imageries, Ainyyafiatty Arifin, Nor A. Adnan

International Journal of Geospatial and Environmental Research

Lineament is any extensive linear feature on the Earth’s surface that can be identified when there is a change in the topographical data. The advancement of technologies in remote sensing and Geographical Information Sciences (GIS) lead to the various studies and methods in mapping lineaments due to the availability of data from small to large scale areas. Lineament can be extracted from remote sensing data either with manual, semi-automatic or automatic image processing techniques that incorporate in numerous remote sensing and GIS software. Manually digitizing or tracing the aerial photograph is a subjective method as the lineament will be interpreted …