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Techniques for analyzing classes of subdivision algorithms at extraordinary points
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In this thesis I show that midpoint subdivision of any degree = 2 generates subdivision surfaces which are C1-continuous at their extraordinary points. This extends the result by Zorin and Schröder for midpoint subdivision of degree up to 9 [ZS01]. To the best of my knowledge this is the first analysis for an entire class of (infinitely many) subdivision algorithms. Moreover, in this thesis I extend the result to an even wider class of subdivision algorithms that can be factored into midpoint operators and simplest subdivision [PR97].
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Techniques for analyzing classes of subdivision algorithms at extraordinary points, Qi Chen
- Sprache
- Erscheinungsdatum
- 2010
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- Titel
- Techniques for analyzing classes of subdivision algorithms at extraordinary points
- Sprache
- Englisch
- Autor*innen
- Qi Chen
- Verlag
- Shaker
- Erscheinungsdatum
- 2010
- ISBN10
- 3832293639
- ISBN13
- 9783832293635
- Kategorie
- Skripten & Universitätslehrbücher
- Beschreibung
- In this thesis I show that midpoint subdivision of any degree = 2 generates subdivision surfaces which are C1-continuous at their extraordinary points. This extends the result by Zorin and Schröder for midpoint subdivision of degree up to 9 [ZS01]. To the best of my knowledge this is the first analysis for an entire class of (infinitely many) subdivision algorithms. Moreover, in this thesis I extend the result to an even wider class of subdivision algorithms that can be factored into midpoint operators and simplest subdivision [PR97].