Modelos matemáticos de computación gráfica para simular texturas de superficies reales de madera, rocas y agua

Abstract

This research work addresses the development of mathematical models to simulate real textures of wood, rocks, and water, using computer graphics as the primary tool; it seeks to solve the lack of precision found in the simulation of these textures, since the details present in reality are infinite, in contrast to the finite nature of computer representations. This discrepancy leads to errors and imprecise results when these simulations are used in studies. The objective is to propose mathematical models, supported by computer graphics, to create functions and equations that accurately simulate the textures of the proposed surfaces, thus enhancing the visual quality of textures in various industrial applications. The research employs a mixed-methods approach and is both experimental and descriptive in nature. The study seeks to understand the characteristics of the textures and to experiment with various equations designed for each surface. The results are obtained within the Visual Studio platform, using various tools such as RGB color models and specific mathematical functions for each type of texture. The outcomes include algorithms that generate detailed and realistic textures, preserving the characteristics present in each surface texture. Finally, the proposal to generate models for the textures of wood, rocks, and water contributed to advancements in graphical representation, maintaining the characteristics present in each surface texture.