• Fill Hans-Georg

• Muñoz Cadiz Jesus
• Vasic Iva

Spatial computing, 3D geometry basics, Augmented Reality (AR), and Virtual Reality (VR). This course aims to familiarize students with the fundamentals of spatial computing in order to acquire the knowledge needed to develop simple yet interactive web-based applications in desktop, AR, and VR environments.

The course is structured as follows:

1. Theoretical part that introduces the fundamentals of 3D geometry and the computational frameworks underlying spatial computing, including WebGL and Three.js, and related web-based technologies and equipment for interactive 3D visualization.
2. Practical part where the students will learn how to apply spatial computing principles to design and develop interactive 3D applications, focusing on geometric transformations, scene composition, and real-time rendering in web-based desktop, AR, and VR environments.
3. Project part that allows students to apply their creativity by developing an interactive web-based application, such as a game, serious game, visualization tool, or immersive AR/VR experience, demonstrating the integration of geometry, interaction, and spatial computing concepts.

The theoretical part will introduce the core computer graphics principles underlying the representation, transformation, and visualization of 3D geometry. It will cover the graphics pipeline, including geometric primitives, coordinate systems, and transformation matrices, and conclude with an overview of rendering and interaction concepts in desktop, AR, and VR environments.

The practical part and project development will be based on the open-source Three.js (https://threejs.org/), a JavaScript 3D library, which is widely used for web-based 3D graphics. Students will learn the core components of Three.js, including how to create and manage scenes, cameras, lights, materials, meshes, and renderers.

As for the project development, students will be required to choose a topic, marking the beginning of their specialization phase, during which they will focus on applying the acquired knowledge to a specific area of spatial computing. It will be organized in pairs of two, allowing students to choose their project partners and topics of interest freely.

At least basic knowledge of JavaScript is necessary for this course.

A laptop is needed for the practical exercises and the project part.

• Gain knowledge about spatial computing methods and their implementation
• Develop the skills to create interactive and 3D content in web-based virtual environments, including desktop, AR, and VR
• Become familiar with the Three.js library principles and core concepts
• Understand the principles underlying the geometry and its virtual representation in 3D environments

Goldman, R. (2009). An Integrated Introduction to Computer Graphics and Geometric Modeling, CRC Press, Taylor and Francis.

Lengyel, E. (2011). Mathematics for 3D game programming and computer graphics (Third edition), Course Technology Press.

Pangilinan, E., Lukas, S., Mohan, V. (2019). Creating Augmented and Virtual Realities: Theory and Practice for Next-Generation Spatial Computing, O'Reilly Media, Inc.

Baruah, R. (2020). AR and VR Using the WebXR API: Learn to Create Immersive Content with WebGL, Three.js, and A-Frame, Apress.

The project presentation and the final project implementation will be evaluated for each group.

In addition, an initial exam (pass/fail) focused on Three.js knowledge is foreseen three weeks after the start of the course, serving as a prerequisite for proceeding to the group project development phase. For this exam, a series of Three.js tasks will be assigned, which students are required to implement individually.

Course with continuous evaluation: after the registration period, you can no longer cancel your registration (see session calendar on the Faculty's website).

Exam duration 90 minutes

Only as a retake exam