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...
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...
: 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...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...
Interval arithmetic provides an e cient method for monitoring and controlling errors in numerical calculations. However, existing software packages for interval arithmetic are oft...
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...
Affonso de Cusatis Junior, Luiz Henrique de Figuei...
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¬...
Wilhelm Heupke, Christoph Grimm, Klaus Waldschmidt
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 ...