Approximating Mathematical Surfaces with Spline Modelers

Stephen Luecking
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 473–480

Abstract

Computer modeling permits the creation and editing of mathematical surfaces with only an intuitive understanding of such forms. B-splines used in most commercial modeling packages permit the approximation of a wide variety of mathematical surfaces. Such programs may contain tools for aiding in the production of these surfaces as physical sculptures. We outline some techniques for non-mathematical designers and sculptors to produce these objects with conventional modeling.

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