Robust approximation of offsets, bisectors, and medial axes of plane curves
JB Oliveira, LH De Figueiredo - Reliable computing, 2003 - Springer
… Affine arithmetic [3] is one of these tools, and its use in interval methods has resulted in
faster … A natural next step is to use affine arithmetic instead of interval arithmetic in the global …
faster … A natural next step is to use affine arithmetic instead of interval arithmetic in the global …
Real-time ray tracing of implicit surfaces on the GPU
JM Singh, PJ Narayanan - IEEE transactions on visualization …, 2009 - ieeexplore.ieee.org
… algebraic surfaces up to order 4 using analytical roots on the GPU [5] and selected algebraic
surfaces and some nonalgebraic surfaces using interval analysis and affine arithmetic on …
surfaces and some nonalgebraic surfaces using interval analysis and affine arithmetic on …
[PDF][PDF] A Knowledge-based Approach for Configuring Automobile Design and Development
F Wawrzik, C Grimm - researchgate.net
… We intend to build a constraint solver with Affine Arithmetic, which is able to handle
multiplications and divisions and other functions of symbolic variables with boundaries, and thus …
multiplications and divisions and other functions of symbolic variables with boundaries, and thus …
[HTML][HTML] A probability box representation method for power flow analysis considering both interval and probabilistic uncertainties
Q Li, N Zhao - International Journal of Electrical Power & Energy …, 2022 - Elsevier
… In the affine arithmetic method, the interval variables are represented as affine combinations
… considering correlated interval variables in the affine arithmetic method. Besides, Levin et al…
… considering correlated interval variables in the affine arithmetic method. Besides, Levin et al…
[BOOK][B] Uncertainty in Geometric Computations
J Winkler, M Niranjan - 2002 - books.google.com
Computer simulations and modelling are used frequently in science and engineering, in
applications ranging from the understanding of natural and artificial phenomena to the design, …
applications ranging from the understanding of natural and artificial phenomena to the design, …
DH quaternion transformation method for kinematics analysis of serial mechanisms
Z Zhong-hai, LI Duan-ling - Journal of Beijing university of Posts …, 2015 - journal.bupt.edu.cn
… Finite鄄precision error modeling using affine arithmetic[C]椅Acoustics, Speech and Signal
… by a modified affine arithmetic [ J]. Computers and Chemical Engineering, 2013(48): 48鄄57. …
… by a modified affine arithmetic [ J]. Computers and Chemical Engineering, 2013(48): 48鄄57. …
[PDF][PDF] 3.9 Integration of Interval Contractors in Hierarchical Space Decomposition Structures
S Kiel - Uncertainty modeling and analysis with intervals … - dagstuhl.sunsite.rwth-aachen.de
… arithmetics like affine arithmetic or Taylor models to reduce the overestimation. Another way
to tighten enclosures is to use contractors which identify parts of the decomposition disjoint …
to tighten enclosures is to use contractors which identify parts of the decomposition disjoint …
[HTML][HTML] DC power flow analysis incorporating interval input data and network parameters through the optimizing-scenarios method
C Zhang, H Chen, M Guo, X Wang, Y Liu… - International Journal of …, 2018 - Elsevier
… the Krawczyk-Moore method in conjunction with affine arithmetic [18] to obtain the ranges of
bus … To overcome the limitations of affine arithmetic (AA) -based methods, the OSM has been …
bus … To overcome the limitations of affine arithmetic (AA) -based methods, the OSM has been …
An efficient solution to systems of multivariate polynomial using expression trees
G Elber, T Grandine - IEEE Transactions on Visualization and …, 2009 - ieeexplore.ieee.org
… techniques such as affine arithmetic have been developed in recent years. Affine arithmetic
[8] … Affine arithmetic excels in the common case when different terms in the expression are …
[8] … Affine arithmetic excels in the common case when different terms in the expression are …
A Novel Belief Function Based Framework for UOPF With Multiprobability-Characterized and Knowledge Deficient Power Sources
B Liu, Q Huang, J Zhao, W Hu - IEEE Transactions on Industrial …, 2020 - ieeexplore.ieee.org
… According to Vaccaro and Cañizares [28], we can perform the affine arithmetic based UOPF
for … Note that the affine arithmetic based UOPF transfers the affine form based OPF into two …
for … Note that the affine arithmetic based UOPF transfers the affine form based OPF into two …