L.H. de Figueiredo and J. Stol . Adaptive enumeration of implicit surfaces with ane arithmetic. Computer Graphics Forum, 15(5):287{ 296, 1996.

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Taylor Models and Affine Arithmetics - Towards a More.. - Bühler (2001)   (Correct)

....a signi cant reduction of subdivision steps by just replacing intervals by ane forms. Enumeration of implicit surfaces: Range analysis of an implicit surface over a certain cell performed with ane arithmetic builds the basis of a hierarchical decomposition method to detect its spatial location [9, 35]. Raycasting of implicit surfaces: De Figueiredo [8] proposes a raycasting algorithm for implicit surfaces that uses ane arithmetic to de ne an inclusion function that estimates the range of the surface over a certain domain. This inclusion function is used in a bisection algorithm to ....

L.H. de Figueiredo and J. Stol . Adaptive enumeration of implicit surfaces with ane arithmetic. Computer Graphics Forum, 15(5):287{ 296, 1996.

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