The role of linear algebra in real-time graphics rendering: A comparison and analysis of mathematical library performance
Hongyi Zhang · Applied and Computational Engineering · 2024
With the rise of concepts like the metaverse, virtual reality, and augmented reality, real-time graphics rendering technology has garnered significant attention. Among its key performance indicators, frame rate and graphical quality stand out. Particularly in real-time rendering, linear algebra, especially matrix and vector operations, play a crucial role in determining the position and transformation of models in multidimensional space. This study aims to explore methods for enhancing matrix operation performance in graphics rendering. We compare the performance of two popular mathematical libraries in practical rendering scenarios and discuss the potential of leveraging their strengths to achieve more efficient performance. The research results demonstrate that optimized matrix operations can significantly improve frame rates, providing users with smoother visual experiences. This holds great importance for real-time graphics rendering applications such as games, 3D simulations, and the metaverse. The paper also reviews relevant literature, presents specific comparative data, analyzes the reasons behind performance differences, and discusses the limitations and future directions of the research.