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DTIC ADP013750: The Correlation Between the Convergence of Subdivis... |
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by Defense Technical Information Center |
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We consider the univariate two-scale refinement equation |
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phi(chi). This paper analyses the correlation between the |
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existence of smooth compactly supported solutions of this |
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equation and the convergence of the corresponding cascade |
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algorithm/subdivision scheme. In the work 11 we have |
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introduced a criterion that expresses this correlation in |
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terms of the mask of the equation. It is shown that the |
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convergence of subdivision scheme depends on values that |
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the mask takes at the points of its generalized cycles. |
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In this paper we show that the criterion is sharp in the |
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sense that an arbitrary generalized cycle causes the |
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divergence of a suitable subdivision scheme. To do this |
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we construct a general method to produce divergent |
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subdivision schemes having smooth refinable functions. |
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The criterion therefore establishes a complete |
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classification of divergent subdivision schemes. |
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Date Published: 2015-11-01 06:41:15 |
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Identifier: DTIC_ADP013750 |
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Item Size: 8054693 |
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Language: english |
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Media Type: texts |
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# Topics |
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DTIC Archive; Protasov, Vladimir; MOS... |
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# Uploaded by |
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@chris85 |
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