J.L.D. COMBA and J. STOLFI AOEne Arithmetic and its Applications to Computer Graphics, SIBGRAPI'93, Recife, PE (Brazil), October 20-22 - (1993).  Home/Search   Document Not in Database   Summary   Related Articles

....[8] is used and then some of the most classical inclusion function and our inclusion functions based on new aOEne forms are tested in the numerical section, see below. After the presentation of the standard aOEne arithmetic due to Andrade, Stolfy, Comba, de Figueiredo, Van Iwaarden, 2] [3], 5] 6] we shall introduce new aOEne forms which take into account the diOEculties generated by the use of these techniques. To conclude, we shall show by several examples the eOEciency of our new methods compared to the best well known methods to nd lower bounds [11] 10] and more ....

.... bounds [11] 10] and more recently, to the methods using simplices [9] and then, to the methods with standard aOEne arithmetic [6] 2 Standard AOEne Arithmetic AOEne Arithmetic is a new approach, introduced in 1994 by Andrade, Comba and Stolfy [2] it was applied on computer graphics problems [3] and surface intersections [5] The principle is simple: one redenes arithmetic operations with aOEne functions. Recently, these methods were introduced in Branch and Bound algorithm to increase the research of the unconstrained global optimum [6] Like generalised interval arithmetic introduced ....

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J.L.D. COMBA and J. STOLFI AOEne Arithmetic and its Applications to Computer Graphics, SIBGRAPI'93, Recife, PE (Brazil), October 20-22 - (1993).

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