Realidade aumentada no ensino de computação gráfica: uma proposta didática para o aprendizado de transformações geométricas

Abstract

The teaching of three-dimensional geometric transformations in Computer Graphics poses significant didactic challenges due to the difficulty of correlating the abstraction of matrix algebra with its spatial effects. This work aimed to develop and technically validate a mobile Augmented Reality application capable of integrating the manipulation of translation, rotation, and scale operations with the real-time visualization of their 4 × 4 matrix structures. The methodology, of an applied and exploratory nature, was based on Software Engineering practices focused on artifact verification. The prototype was built on the Unity platform using the AR Foundation library, and the validation strategy combined white-box testing, for inspecting the algorithmic logic of composition, with black-box testing, for evaluating visual correspondence in the physical environment. The results evidenced the stability of spatial tracking and the mathematical precision of the implemented operations, confirming the isomorphic relationship between numerical calculation and graphical rendering. The analysis of composite transformation scenarios successfully demonstrated the effects of non-commutativity of matrix multiplication, allowing for the exploration of both global and local interpretations. It is concluded that the tool has reached the technical maturity necessary to act as a pedagogical resource, offering a reliable and interactive means for understanding fundamental concepts of linear algebra applied to the construction of virtual environments.