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developer:onperiodiccurvesurface [2015/09/14]
127.0.0.1 external edit
developer:onperiodiccurvesurface [2015/10/28] (current)
sandy
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 A periodic knot vector can be either uniform or non-uniform. A periodic knot vector can be either uniform or non-uniform.
  
-A periodic degree d [[rhino:​nurbs|NURBs]] curve has (d-1) continuous derivatives at the start/end point.+A periodic degree d NURBs curve has (d-1) continuous derivatives at the start/end point.
  
-The differences between successive knot values are equal near the start and end of the spline; that is, the differences repeat themselves and hence the term "periodic".+The differences between successive knot values are equal near the start and end of the spline; that is, the differences repeat themselves and hence the term //periodic//.
  
 Specifically,​ when -degree < i < degree, a periodic knot vector satisfies Specifically,​ when -degree < i < degree, a periodic knot vector satisfies
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 with a < b < c < d < e and e < p+a. with a < b < c < d < e and e < p+a.
  
-Chapter 12 of The [[rhino:​nurbs|NURBs]] Book has a few pages discusssing ​periodic ​[[rhino:​nurbs|NURBs]] (look in the index), but the discussion is limited. ​ Chapter 14 of DeBoor's Practical Guide to Splines provides a few more details.+Chapter 12 of The [[rhino:​nurbs|NURBs]] Book has a few pages discussing ​periodic NURBs (look in the index), but the discussion is limited. ​ Chapter 14 of [[http://​www.amazon.com/​Practical-Splines-Applied-Mathematical-Sciences/​dp/​0387953663|Carl de Boor's Practical Guide to Splines]] provides a few more details.
  
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 {{tag>​Developer openNURBS}} {{tag>​Developer openNURBS}}
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developer/onperiodiccurvesurface.txt ยท Last modified: 2015/10/28 by sandy