Complex implicit CSG models can be represented hierarchically as a
tree of nodes (the BlobTree). However, current methods cannot be used to
visualize changes made to these models at interactive rates due to the large
number of potential field evaluations required. A hierarchical spatial
caching technique is presented which accelerates evaluations of the potential
function. This method introduces the concept of a caching node inserted into
the implicit model tree. Caching nodes store exact potential field values
at the nodes of a voxel grid and rely on tri-linear and tri-quadratic
reconstruction filters to locally approximate the potential field of a
sub-tree. A lazy evaluation scheme is used to avoid expensive
pre-computation. Polygonization timings with and without caching are compared
for a complex model undergoing manipulation in an interactive modeling tool.
An order-of-magnitude improvement in visualization time is achieved for
complex implicit models containing thousands of primitives.
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