TY - GEN

T1 - Merging visibility maps

AU - Overmars, Mark H.

AU - Sharir, Micha

PY - 1990

Y1 - 1990

N2 - Let V be a set of objects in space for which we want to determine the portions visible from a particular point of view v. Assume V is subdivided in subsets V1, ... , Vz and the visibility maps M1, ... Mz of these subsets from point v are known. We show that the visibility map M for V can be computed by merging M1, ... , Mz in time O((n + k)z log2 n) where n is the total size (number of edges, vertices and faces) of the visibility maps M1, ... , Mz and k is the size of M. This result has important applications e.g. in animation where objects move with respect to a fixed environment. It also leads to efficient algorithms for special cases of the hidden-surface removal problem. For example, we obtain a method for hidden surface removal in a set of unit spheres, viewed from infinity, that runs in time O((n + k) log2 n).

AB - Let V be a set of objects in space for which we want to determine the portions visible from a particular point of view v. Assume V is subdivided in subsets V1, ... , Vz and the visibility maps M1, ... Mz of these subsets from point v are known. We show that the visibility map M for V can be computed by merging M1, ... , Mz in time O((n + k)z log2 n) where n is the total size (number of edges, vertices and faces) of the visibility maps M1, ... , Mz and k is the size of M. This result has important applications e.g. in animation where objects move with respect to a fixed environment. It also leads to efficient algorithms for special cases of the hidden-surface removal problem. For example, we obtain a method for hidden surface removal in a set of unit spheres, viewed from infinity, that runs in time O((n + k) log2 n).

UR - http://www.scopus.com/inward/record.url?scp=0025111855&partnerID=8YFLogxK

U2 - 10.1145/98524.98561

DO - 10.1145/98524.98561

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AN - SCOPUS:0025111855

SN - 0897913620

SN - 9780897913621

T3 - Proc Sixth Annu Symp Comput Geom

SP - 168

EP - 176

BT - Proc Sixth Annu Symp Comput Geom

PB - Association for Computing Machinery (ACM)

Y2 - 6 June 1990 through 8 June 1990

ER -