F. Messine and A. Mahfoudi. Use of affine arithmetic in interval optimization algorithms to solve multidimensional scaling problems. In IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, 1998. Home/Search Document Not in Database Summary Related Articles Check |
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Statistical Cue Integration in DAG Deformable Models - Goldenstein, Vogler, Metaxas (2003) (1 citation) (Correct)
....alternative to classical interval arithmetic. Affine arithmetic provides tighter bounds than interval arithmetic in cascaded operations. Unlike interval arithmetic [32] it also preserves information about mutual dependencies between results. Since then it has been used in numerical applications [31], electrical engineering [16] computer graphics [13] and computer vision [21] Gaussian probability distributions are a widely used tool in engineering [17] as they have several desirable properties: preservation of linearity, compactness of representation via the mean and covariance matrix, ....
F. Messine and A. Mahfoudi. Use of affine arithmetic in interval optimization algorithms to solve multidimensional scaling problems. In IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, 1998.
Affine Arithmetic Based Estimation of Cue.. - Goldenstein, Vogler.. (2001) (Correct)
....This approach suffers from overestimation of bounds, and the complete loss of information on how bounds in multidimensional intervals are correlated. More recently, affine arithmetic has been developed to overcome these shortcomings [1, 26] It has previously been applied to numerical optimization [5, 17, 13]. In this paper we apply affine arithmetic to embed deformable models within a statistical framework. This approach allows us to avoid making assumptions about the probability distribution functions, unlike most previous statistical approaches to computer vision, and it scales well with the ....
F. Messine and A. Mahfoudi. Use of affine arithmetic in interval optimization algorithms to solve multidimensional scaling problems. In IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, 1998.
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