MASTER’S DEGREE IN COMPUTATIONAL GRAPHICS AND SIMULATION

9 ECTS

This module looks in depth at the mathematical and physical basis for the technology used in the Master’s course. It also looks in more detail at the particular branches of geometry and numerical methods that will be used to develop solutions using computational graphics, virtual reality and simulation.

12 ECTS

Advanced programming techniques in C/C++, with an emphasis on the efficiency of algorithms, parallel programming and GPU and MultiGPU programming with CUDA for simulation algorithms.

12 ECTS

This module will cover advanced rendering techniques, three-dimensional representation with OPENGL, advanced global illumination techniques and visualisation of information and multi-dimensional scientific data.

9 ECTS

The objective of this module is to build the capacity to use software and devices such as Oculus, Virtual Touch Devices, Samsung Gear, etc. to create virtual reality environments, with multimodal capacity. In this module, students will also learn about and use physical simulation techniques for particles for realistic simulations and special effects.

6 ECTS

Students will collaborate on projects related to the field of computational graphics, simulation and virtual reality at companies such as Next Limit, Ilion Animation Studio, ACCIONA, INDRA, Simumak, CItec-b and Seabery, among others.

Applied mathematics module: specific skills

• CE1 – Solve mathematical problems (optimisation, interpolation, etc.) through the implementation of software with numerical methods.
• CE2 – Implement efficient numerical methods by using different execution environments and architectures, such as the use of multiprocessing hardware and hardware for graphics acceleration.
• CE3 – Improve the capacity for abstraction in order to be able to mathematically formulate the problems posed.
• CE4 – Appropriate and applied knowledge of the mathematical methods required for studying and solving the problems associated with advanced programming.

Advanced programming modules: specific skills

• CE5 – Develop software in C/C++ with advanced techniques and libraries, both at an algorithmic level as well as using computational modelling, with the objective of improving the performance of the code.
• CE6 – Analyse algorithms from the point of view of their computational performance, as well as identifying and solving technical problems that arise throughout development by employing advanced tools.
• CE7 – Identify concurrency solutions for computational problems, design concurrent algorithms to solve them and programme those algorithms using advanced concurrency programming technology on heterogeneous hardware.
• CE8 – Apply advanced dynamic memory management techniques in an efficient way to lineal and parallel algorithms, detect memory fragmentation and possible memory leaks in programmes through the use of profiling tools and smart pointers, and advanced pointer arithmetic.
• CE9 – Analyse the execution of algorithms using advanced profiling techniques with remote filter servers and profiling and applying non-functional optimisation techniques to multithreading programmes following results of the analysis.

Graphics programming module: specific competencies

• CE10 – Have a good command of the mathematical and programming tools for manipulating images and generating 3D graphics on a computer.
• CE11 – Perform computational geometry operations: generating, modifying and visualising geometries for different purposes.
• CE12 – Understand the different methods of representing geometries and multi-dimensional data structures in a computational system, as well as the advantages and disadvantages for each of the different situations that may arise.
• CE13 – Understand the principles of representing light and colour in computer-generated images.
• CE14 – Understand the different computational techniques of projection and visualisation of three-dimensional information on a plane.

Virtual reality and simulation module: specific skills

• CE15 – Employ the digital industry standards for 2D and 3D visualisation for the interactive presentation for graphic simulation.
• CE16 – Understand the methods employed for the simulation of dynamic phenomena such as interaction between bodies, fluids, particles, etc. and their computational implementation.
• CE17 – Understand the models and methods employed in diverse areas of application of graphical simulation, such as physics, biology, aeronautics, medicine, leisure industry, etc.

Final degree project: specific competencies

• CR18 – Once all of the credits from the study plan have been obtained, students must individually create, present and defend an original project before a university panel. The project will be a full Computational Graphics and Simulation project of a professional standard in which the skills acquired during teaching are deployed.

External internship: specific competencies

• CE19 – Complementary to the academic training, with the knowledge, skills and attitudes acquired in the professional environment. Practical use and development of the theoretical/technical knowledge acquired during their studies, facing problems and making decisions in the real world.
• CE20 – Acquisition of the necessary professional skills and competencies for a real working environment.
• CE21 – Team work, communication with business agents, developing their maturity for later periods of work. Ability to join the labour force.

Following completion of the Master’s Degree in Computational Graphics and Simulation at U-tad, students will have the ability to work under various professional profiles:

• C/C++ Developer in branches such as: CUDA or similar (GPGPU, OpenCL, etc).
• Special effects simulation engineer for video games and films.
• Physical simulation engineer in areas such as aeronautic simulation, automotive simulation, simulation in medicine or defence.
• Developer of virtual reality solutions via the exploitation of various sensory channels.
• Experts in rendering and multi-dimensional data visualisation.
• Researcher in the field of Computational Graphics, Simulation and Virtual Reality with the capacity to study for a doctorate.