Hidden surface removal for axis-parallel polyhedra
M de Berg, MH Overmars - Proceedings [1990] 31st Annual …, 1990 - ieeexplore.ieee.org
M de Berg, MH Overmars
Proceedings [1990] 31st Annual Symposium on Foundations of …, 1990•ieeexplore.ieee.orgAn efficient, output-sensitive method for computing the visibility map of a set of axis-parallel
polyhedra (ie polyhedra with their faces and edges parallel to the coordinate axes) as seen
from a given viewpoint is introduced. For nonintersecting polyhedra with n edges in total, the
algorithm runs in time O ((n+ k) log n), where k is the complexity of the visibility map. The
method can handle cyclic overlap of the polyhedra and perspective views without any
problem. For c-oriented polyhedra (with faces and edges in c orientations, for some constant …
polyhedra (ie polyhedra with their faces and edges parallel to the coordinate axes) as seen
from a given viewpoint is introduced. For nonintersecting polyhedra with n edges in total, the
algorithm runs in time O ((n+ k) log n), where k is the complexity of the visibility map. The
method can handle cyclic overlap of the polyhedra and perspective views without any
problem. For c-oriented polyhedra (with faces and edges in c orientations, for some constant …
An efficient, output-sensitive method for computing the visibility map of a set of axis-parallel polyhedra (i.e. polyhedra with their faces and edges parallel to the coordinate axes) as seen from a given viewpoint is introduced. For nonintersecting polyhedra with n edges in total, the algorithm runs in time O((n+k)log n), where k is the complexity of the visibility map. The method can handle cyclic overlap of the polyhedra and perspective views without any problem. For c-oriented polyhedra (with faces and edges in c orientations, for some constant c) the method can be extended to run in the same time bound. The method can be extended even further to deal with intersecting polyhedra with only a slight increase in the time bound.< >
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