Method and system for constructing interpolation curve or curved surface based on B-spline

Abstract

The present invention belongs to the technical field of geometric modeling, and discloses a method and a system for constructing an interpolation curve or a curved surface based on a B-spline. The system comprises: a function deployment module, a telescopic translation module, a curve generation module, a central processing module, a curve smoothing module, a curve fitting module, a data storage module, and a display module. According to the technical scheme of the present invention, by using the curve smoothing module, a smoothing operation is performed on the curve in the image, the unsmoothcurve segment in the image can be effectively smoothed, and the curve after being subjected to the smoothing operation has substantially no defect with respect to the original curve, does not deviatemuch from the actual curve, and can adjust the degree of smoothness of the curve by adjusting the interval size by itself; and at the same time, by using the curve fitting module, the mapping reconstruction of the rotary part along the direction of the rotation axis can be realized, the data processing process can be simplified in a facilitated manner, and the consumption of computer resources can be reduced.

Description

technical field [0001] The invention belongs to the technical field of geometric modeling, and in particular relates to a construction method and system of a B-spline-based interpolation curve or curved surface. Background technique [0002] At present, the existing technologies commonly used in the industry are as follows: [0003] Spline curve (SplineCurves) refers to a curve obtained by giving a set of control points. The general shape of the curve is controlled by these points. Generally, it can be divided into two types: interpolation spline and approximation spline. Interpolation spline is usually used for digitization In the design of drawings or animations, approximation splines are generally used to construct the surface of objects. A spline is a smooth curve that passes through a given series of points. Initially, spline curves were all obtained by means of physical splines. The stakeout staff fixed elastic thin wood strips (or plexiglass strips) at the given po...

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Problems solved by technology

[0007] The smoothing effect of the interpolation curve of the existing spline is poor, and the deviation from the actual curve is large; at the same time, only the method of free-form surface is used to fit the characteristic surface, which consumes a lot of computer resources

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