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The Structive And Application Of The Binary Quadratic Spline Function Method In The Beizier Triangles Mesh

Posted on:2015-06-17Degree:MasterType:Thesis
Country:ChinaCandidate:X J ZhuangFull Text:PDF
GTID:2180330431495486Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, I will talk about using Polyhedron spline method to construct Bezier spline function.According to the location of the Knots,we can divide the Calculation of spline function into four types.The first type is the Calculation of four Knots on one line;The second type of Calculation is based on four Knots on one line,and then draw the Calculation when putting the middle two Knots move;the third type of Calculation is the Calculation about the middle two Knots rotating900by clock wise;The last type of Calculation bases on the rotating of the middle two Knots.when Calculation every simplex multiplies Power factor,and merge other Calculation.At last, analysis the functions which are from above and the surface getting from spline function by comparing them, And this quadraticC1rational polynomial surface which was getting from this Spline function lowered, the times of Bezier surface pieces.So it makes the split jointing among surface pieces come true automatically.
Keywords/Search Tags:Polyhedral spline, Binary quadratic spline function, Powerfactor, C~1surface
PDF Full Text Request
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