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JC
2006
97views more  JC 2006»
13 years 7 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings II
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Stephan Dahlke, Erich Novak, Winfried Sickel
COMGEO
2006
ACM
13 years 7 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
COMPGEOM
2008
ACM
13 years 9 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
WALCOM
2007
IEEE
82views Algorithms» more  WALCOM 2007»
13 years 8 months ago
Methods for Searching Mutual Visible-Intervals on Moving Object
Abstract. Computing visible information, such as a visible surface determination, is a significant problem and has been mainly studied in the fields of computational geometry and...
Yoshiyuki Kusakari, Yuta Sugimoto, Junichi Notoya,...
IVC
2007
102views more  IVC 2007»
13 years 7 months ago
Analysis of the rubberband algorithm
We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded s...
Fajie Li, Reinhard Klette