Chaos and Graphics: Robust visualization of strange attractors using affine arithmetic

Authors:
Afonso Paiva;Luiz Henrique de Figueiredo;Jorge Stolfi
Affiliations:
Departamento de Matemática, PUC-Rio, Rio de Janeiro, Brazil;IMPA-Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil;Instituto de Computação, UNICAMP, Campinas, Brazil
Venue:
Computers and Graphics
Year:
2006

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Abstract

We propose the use of affine arithmetic in cell-mapping methods for the robust visualization of strange attractors and show that the resulting cellular approximations converge faster than those produced by cell-mapping methods based on classical interval arithmetic.