DAGSTUHL
2008
13 years 6 months ago
2008
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficient...
DAGSTUHL
2010
13 years 6 months ago
2010
We apply Knoll et al.'s algorithm [9] to interactively ray-cast constructive solid geometry (CSG) objects of arbitrary primitives represented as implicit functions. Whereas m...
DFG
2007
Springer
13 years 8 months ago
2007
Springer
: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
GLVLSI
1998
IEEE
13 years 9 months ago
1998
IEEE
Interval arithmetic provides an e cient method for monitoring and controlling errors in numerical calculations. However, existing software packages for interval arithmetic are oft...
SIBGRAPI
1999
IEEE
13 years 9 months ago
1999
IEEE
We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of inte...
FDL
2003
IEEE
13 years 10 months ago
2003
IEEE
Tolerances are a very important property of a design. This paper presents a method for simulating tolerances in signal processing and control systems on the system level using aï¬...
ARITH
2005
IEEE
13 years 10 months ago
2005
IEEE
This paper presents a set of tools for mechanical reasoning of numerical bounds using interval arithmetic. The tools implement two techniques for reducing decorrelation: interval ...