References in raw/Page_8.html

• 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
  

• 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...
  

• 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 ...
  

• 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 ...