Ray casting implicit fractal surfaces with reduced affine arithmetic

MN Gamito, SC Maddock - The Visual Computer, 2007 - Springer
… We present it here again in the framework of reduced affine arithmetic. When implementing
the RayIntersect algorithm with affine arithmetic, it is possible to reduce the size of the …

Backward/forward sweep based power flow analysis of distribution systems under uncertainty using new affine arithmetic division

BS Adusumilii, BK Kumar - 2020 IEEE Power & Energy Society …, 2020 - ieeexplore.ieee.org
… based power flow analysis using a new affine arithmetic division is proposed. The proposed
… based power flow analysis when compared to existing affine arithmetic based method. …

An automated, efficient and static bit-width optimization methodology towards maximum bit-width-to-error tradeoff with affine arithmetic model

Y Pu, Y Ha - Proceedings of the 2006 Asia and South Pacific Design …, 2006 - dl.acm.org
… We have developed an automated and efficient bit-width optimization methodology that is
Affine Arithmetic (AA) based. Experiments have proven that, compared to the previous static …

A new dividing method in affine arithmetic

S Miyajima, T Miyata, M Kashiwagi - IEICE TRANSACTIONS on …, 2003 - search.ieice.org
Affine arithmetic is a kind of interval arithmetic defined by Stolfi et al. [1]. In affine arithmetic,
it is difficult to realize the efficient nonlinear binomial operations. The purpose of this letter is …

A mixed interval arithmetic/affine arithmetic approach for robust design optimization with interval uncertainty

S Wang, X Qing - Journal of Mechanical Design, 2016 - asmedigitalcollection.asme.org
… A mixed interval arithmetic (IA)/affine arithmetic (AA) model is subsequently utilized in
order to obtain affine approximations for the objective and feasibility robustness constraint …

Approximating parametric curves with strip trees using affine arithmetic

L Henrique de Figueiredo, J Stolfi… - Computer Graphics …, 2003 - Wiley Online Library
… We show how to use affine arithmetic to represent a parametric curve with a strip tree. The …
by exploiting the linear correlation information given by affine arithmetic. As an application, we …

Robust optimization of energy hubs operation based on extended affine arithmetic

A Pepiciello, A Vaccaro, M Mañana - Energies, 2019 - mdpi.com
… This paper proposes a novel methodology, based on extended Affine Arithmetic, which …
To address this issue, in this paper a novel approach based on Affine Arithmetic is proposed…

[HTML][HTML] Modified affine arithmetic in tensor form for trivariate polynomial evaluation and algebraic surface plotting

H Shou, H Lin, RR Martin, G Wang - Journal of computational and applied …, 2006 - Elsevier
… This paper extends the modified affine arithmetic in matrix form method for … affine arithmetic
in tensor form is not only more accurate but also much faster than standard affine arithmetic

Improved affine arithmetic-based precision analysis for polynomial function evaluation

R Bellal, E Lamini, H Belbachir… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
… It is based on affine arithmetic and introduces an error propagating formula for a degree-n …
circuits are interval arithmetic (IA) and affine arithmetic (AA). IA determines the worst-case …

[HTML][HTML] Existence test for solution of nonlinear systems applying affine arithmetic

S Miyajima, M Kashiwagi - Journal of computational and applied …, 2007 - Elsevier
… In this test, an interval inclusion of Newton mapping is estimated applying affine arithmetic.
Numerical examples are presented to show the efficiency of this test. … Existence test …