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Study of Fast Surfaces Generating and Surfaces Preserving Methods

Author: LiHong
Tutor: GuYaoLin
School: Jiangnan University
Course: Applied Computer Technology
Keywords: Point-by-point generation Derivative vector sector Surface Shape Preserving alpha - B -spline
CLC: TP391.7
Type: Master's thesis
Year: 2005
Downloads: 29
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Abstract


With computer aided geometric design ( CAGD ) and the development of graphics , geometric modeling technology in many areas has been extensive research and application , the efficiency of the generation of curves and surfaces and generate effects has been a very important content . These two aspects of the curves and surfaces fast point-by-point generation algorithm and surfaces conformal technique , and put forward two new methods . Curves and surfaces point-by-point generated a key factor is the number of iterations selected step size selected . Step length is too short , it will cause the access point too close , resulting in repeated drawn , thus reducing the efficiency of the drawing ; take too long , resulting in discontinuous surface , it will reduce the effect of surface generation . The method By introducing the concept of derivative vector sector , the use of curved guide vector circles , to be more precise estimate of the number of iterations n value is selected , improved surfaces Quick -by- point generating the n value , i.e. the step length , so that effective solution to the problem of surface rendering appearing repeatedly drawn to improve the efficiency of surface generation , on this basis , but also to ensure the effect of surface generation . The example shows further improve the efficiency and effectiveness of surface rendering . Also studied surface conformal techniques , a class that can protect the monotonous uniformity of alpha - B - spline interpolation curve is constructed by changing the parameters alpha value to adjust the shape of the surface . And then use the curve in the xy direction interpolation is performed to ensure that the shape of the surface . The use of this type of curve interpolation can get a better conformal , easy access to a wide range of applications in engineering practice .

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