Titlebook: Reliable Implementation of Real Number Algorithms: Theory and Practice; International Semina Peter Hertling,Christoph M. Hoffmann,Nathalie

SPECT

富饶

水汽

Robustness and Randomness,er science and mathematics communities. Robustness problems are caused by the lack of precision in computations involving floating-point instead of real numbers. This paper reviews methods dealing with robustness and inaccuracy problems. It discusses approaches based on exact arithmetic, interval ar

Herbivorous

Topological Neighborhoods for Spline Curves: Practice & Theory,zations. Some emerging solutions based upon topological considerations for curves will be presented. A novel geometric seeding algorithm for Newton’s method was used in experiments to determine feasible support for these visualization applications.

VOC

Myelin

Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling,umerical Analysis, was described in a recent paper by Hoffmann and Stewart. An important subproblem within this overall approach is the well-definition of the sets specified by inconsistent data. These inconsistencies may come from the use of finite-precision real-number arithmetic, from the use of

寡头政治

Theory of Real Computation According to EGC,on-robustness in geometric algorithms. Its technology has been encoded in libraries such as LEDA, CGAL and Core Library. The key feature of EGC is the necessity to decide zero in its computation. This paper addresses the problem of providing a foundation for the EGC mode of computation. This require

哑巴

Theory of Real Computation According to EGC,s a theory of real computation that properly addresses the Zero Problem. The two current approaches to real computation are represented by the analytic school and algebraic school. We propose a variant of the analytic approach based on ..

不怕任性

Convex Polyhedral Enclosures of Interval-Based Hierarchical Object Representations,olyhedral enclosure of an octree, we seek feasible ways to limit the number of considered points. For this purpose, we use the concept of extreme vertices of the tree nodes. Accurate algorithms for constructing the convex hull of these vertices yield a convex polyhedron as an adaptive and reliable object enclosure at each level of the tree.

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