A Family of Subdivision Scheme with Cubic Precision

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A Family of Subdivision Scheme with Cubic
Precision

• written by Kai Hormann, Malcolm Sabin
• presentationed by Lee, Yeon Ju

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Contents

• Intoduction subdivision scheme
• The Family
• Support
• Holder Regularity
• Response to Polynomial Data
• Artifact Behavior
• Summary

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Subdivision scheme

• Useful method to construct smooth curves and
  surfaces in CAGD
• The rule

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A Family
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Support
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Support
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Holder Regularity
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Response to Polynomial Data

• For all polynomials up to a certain degree, the
  limit curve
• (1) is the same polynomial,
• gt Reproduction degree
• (2) is a polynomial of the same degree and with
  the same leading term,
• gt Generation degree
• (3) passes through the original control points
• gt Interpolation degree

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Response to Polynomial Data
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Artifact Behavior
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Summary
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