DAGSTUHL
2008
14 years 8 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
14 years 8 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
14 years 10 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
14 years 10 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
14 years 10 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
14 years 11 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 a�...
ARITH
2005
IEEE
15 years 4 days 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 ...