Texture look-up method for complex multivariate function based on GPU

Besides accelerating graphics rendering, GPU is also applied to high performance computing in non-graphics application field. For complex multivariate function on GPU, texture look-up method is proposed to enhance computational efficiency. Reconstruct the complex multivariate function to several two-variable functions and then map them to different 2D textures. When real-time running, one texture sampling result may act as texture coordinate for another texture and the final result of multivariate function is obtained by last texture sampling. Error analysis and texture setting are addressed in detail to make the proposed method easy to be implemented. Eliminating the high computing overhead of complex multivariate function, the real-time computation of texture look-up method is only concerned with sampling frequency. Consequently, the proposed method can be applied to computation-intensive scenarios.