Master Thesis Student

Are you in your final year of your Master studies at a Swedish university? Is your subject computer science, applied mathematics, engineering physics, or similar? We are looking for driven and open-minded students with a strong interest in mathematics, physics, numerical analysis, or algorithm development and with experience in C++ or Java programming.

Project: Smoothness Properties of Discrete Surfaces

The output of many 3D scanning procedures, such as a computed tomography (CT) scan, is a discrete surface, described by a triangulation. Depending on what software is used to produce the surface, it may contain noise and geometrical defects. Efficient finite element computations on geometries defined by such surfaces require automated geometrical analysis and processing.

This project aims at investigating and evaluating various smoothness or roughness measures for such triangulated surfaces. This involves literature studies and practical experiments by implementing and testing the measures.

Once a measure of smoothness is implemented, a next step is to try to use it to make surfaces smoother. This kind of optimization has to balance smoothness with the requirement of preserving the shape and significant details.

There are also other related aspects. Given a discrete surface, there are ways of approximating curvature and derivatives (though there is certainly not a unique way to do this). The project could also include an investigation of how improved smoothness of the triangulation relates to such calculations.

Start Your Career at COMSOL

You will be working from our office in central Stockholm, where we develop the core functionality of our multiphysics product family, used worldwide in research and development (R&D) and computer-aided engineering (CAE). Our software enables users to solve complex science and engineering problems, thanks in part to our intuitive and flexible graphical user interface.


COMSOL is the leading innovator of multiphysics software for research and development (R&D). Our products are continuously pushing the boundaries of computer-aided engineering (CAE), so that our customers can solve challenging science and engineering problems and develop better products, faster. The COMSOL product family enables our end users to solve even the most sophisticated science and engineering problems, thanks to our intuitive and flexible graphical user interface. We create the tools that drive new breakthroughs in physics and engineering — and we love what we do. Our corporate culture is innovative, vibrant, and cutting-edge. We are committed to encouraging creativity through an exciting and challenging environment in which individuals excel and grow. Our talented employees and an active learning environment are the keys to our success. Founded in 1986, the COMSOL organization boasts 19 offices and a distributor network throughout the world with more than 450 employees.

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Reference REF-4801
Job title Master Thesis Student
Location Stockholm, Sweden

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