Abstract
Subdivision surface schemes are used to produce smooth shapes, which are applied for modelling in computer‐aided geometric design. In this paper, a new and efficient numerical technique is presented to estimate the error bound and subdivision depth of the uniform Doo‐Sabin subdivision scheme. In this technique, first, a result for computing bounds between Pk (a polygon at kth level) and P∞ (limit surface) of the Doo‐Sabin scheme is obtained. After this, subdivision depth (the number of iterations) is computed by using the user‐defined error tolerance. In addition, the results of the proposed technique are verified by taking distinct valence numbers of the Doo‐Sabin surface scheme.
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