Convex object based volume visualization: a formal proof and example

In this paper, we provide formal definitions for object space, space subdiv ision and ray tracing. We also introduce concept models such as ordered spa ce subdivisions and ordered visualization. From these works, we can evaluat e the correctness and performance of our space subdivision scheme for volum e visualization. With these definitions, we also analyze some established s pace subdivision approaches such as uniform space subdivision and octree ba sed space subdivision. In this paper, we suggest a new subdivision strategy, the convex object bas ed subdivision scheme, which can be more efficient in generating the convex objects for ordered visualization. (C) 2001 Elsevier Science Ltd. All righ ts reserved.