By Jörg Peters

Since their first visual appeal in 1974, subdivision algorithms for producing surfaces of arbitrary topology have won common recognition in special effects and are being evaluated in engineering functions. This improvement was once complemented by way of ongoing efforts to improve applicable mathematical instruments for an intensive research, and at the present time, a number of the interesting houses of subdivision are good understood.

This publication summarizes the present wisdom at the topic. It includes either in the meantime classical effects in addition to brand-new, unpublished fabric, equivalent to a brand new framework for developing C^2-algorithms.

The concentration of the booklet is at the improvement of a complete mathematical idea, and no more on algorithmic facets. it's meant to serve researchers and engineers - either new to the wonderful thing about the topic - in addition to specialists, educational academics and graduate scholars or, briefly, anyone who's attracted to the rules of this flourishing department of utilized geometry.

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