Sciweavers

40 search results - page 1 / 8
» On the perimeter of fat objects
Sort
View
COMGEO
2011
ACM
12 years 11 months ago
A note on the perimeter of fat objects
In this note, we show that the size of the perimeter of (α, β)-covered objects is a linear function of the diameter. Specifically, for an (α, β)-covered object O, per(O) ≤ c...
Prosenjit Bose, Otfried Cheong, Vida Dujmovic
CCCG
2010
13 years 6 months ago
On the perimeter of fat objects
We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a pos...
Prosenjit Bose, Otfried Cheong, Vida Dujmovic
WADS
1997
Springer
108views Algorithms» more  WADS 1997»
13 years 9 months ago
Dynamic Data Structures for Fat Objects and Their Applications
We present several efficient dynamic data structures for point-enclosure queries, involving convex fat objects in R2 or R3. Our planar structures are actually fitted for a more ...
Alon Efrat, Matthew J. Katz, Frank Nielsen, Micha ...
COMPGEOM
2010
ACM
13 years 10 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
ALGORITHMICA
2000
87views more  ALGORITHMICA 2000»
13 years 4 months ago
Linear Size Binary Space Partitions for Uncluttered Scenes
We describe a new and simple method for constructing binary space partitions in arbitrary dimensions. We also introduce the concept of uncluttered scenes, which are scenes with a ...
Mark de Berg