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Recent progress in exact geometric computation
Computational geometry has produced an impressive wealth of efficient algorithms. The
robust implementation of these algorithms remains a major issue. Among the many …
robust implementation of these algorithms remains a major issue. Among the many …
Visibility-based pursuit-evasion with limited field of view
We study the visibility-based pursuit-evasion problem, in which one or more searchers must
move through a given environment so as to guarantee detection of any and all evaders …
move through a given environment so as to guarantee detection of any and all evaders …
VRONI: An engineering approach to the reliable and efficient computation of Voronoi diagrams of points and line segments
M Held - Computational Geometry, 2001 - Elsevier
We discuss the design and implementation of a topology-oriented algorithm for the
computation of Voronoi diagrams of points and line segments in the two-dimensional …
computation of Voronoi diagrams of points and line segments in the two-dimensional …
[PDF][PDF] Interval arithmetic yields efficient dynamic filters for computational geometry
We discuss interval techniques for speeding up the exact evaluation of geometric predicates
and describe an eflicient implementation of interval arithmetic that is strongly influenced by …
and describe an eflicient implementation of interval arithmetic that is strongly influenced by …
[كتاب][B] Geometric data structures for computer graphics
E Langetepe, G Zachmann - 2006 - taylorfrancis.com
Data structures and tools from computational geometry help to solve problems in computer
graphics; these methods have been widely adopted by the computer graphics community …
graphics; these methods have been widely adopted by the computer graphics community …
A core library for robust numeric and geometric computation
Nonrobustness is a well-known problem in many areas of computational science. Until now,
robustness techniques and the construction of robust algorithms have been the province of …
robustness techniques and the construction of robust algorithms have been the province of …
VLSI design of a large-number multiplier for fully homomorphic encryption
This paper presents the design of a power-and area-efficient high-speed 768000-bit
multiplier, based on fast Fourier transform multiplication for fully homomorphic encryption …
multiplier, based on fast Fourier transform multiplication for fully homomorphic encryption …
A generic library for floating-point numbers and its application to exact computing
In this paper we present a general library to reason about floating-point numbers within the
Coq system. Most of the results of the library are proved for an arbitrary floating-point format …
Coq system. Most of the results of the library are proved for an arbitrary floating-point format …
Robust geometric computing in motion
Transforming a geometric algorithm into an effective computer program is a difficult task.
This transformation is particularly made hard by the basic assumptions of most theoretical …
This transformation is particularly made hard by the basic assumptions of most theoretical …
[كتاب][B] Algorithm Engineering
M Müller-Hannemann, S Schirra - 2001 - Springer
The systematic development of efficient algorithms has become a key technology for all
kinds of ambitious and innovative computer applications. With major parts of algorithmic …
kinds of ambitious and innovative computer applications. With major parts of algorithmic …