This paper presents a realistic ray casting model on a curved surface. Guided by the model, we derive an analytical solution for spherical surfaces and propose a mathematical model by solving one problem in two spaces. By using the solution, we introduce a novel framework for spherical height field rendering. We have successfully implemented a spherical height field rendering framework on the graphics processing unit and obtained real-time rendering rates with screen error below 1pixel. Copyright © 2013 John Wiley & Sons, Ltd.
['Jianxin Luo', 'Guyu Hu', 'Guiqiang Ni']
Dual-space ray casting for height field rendering