The Research Of Modeling Complex Mesh Surface Based On Simple Stroke

With the rapid development of modern industry,traditional parametric modeling software is difficult to meet the needs of users in the fields of 3D printing,games,animation and concept design of product.With the maturity of computer technology,especially the emergence of tablets and electronic pens,the sketch-based modeling method has been favored by many scholars.Scholars have developed many sketch-based modeling prototype systems for different application fields.However,these modeling techniques are mainly used to create rules and simple surface models.So modeling complex surface is one of the main problems currently in the field of sketch-based modeling.The problem is mainly manifested as sketch expression is very difficult and cumbersome and as the ability to generate models from sketches is very limited for modeling complex surface.This paper which focuses on the study of modeling complex mesh surface based on simple strokes and which aims to improve the efficiency of modeling studies above problems.The main research contents and results of this paper are as follows:(1)A complex mesh surface modeling method based on variational interpolation technique is proposed.The method first creates an initial surface by using the radial basis function interpolation technique to interpolate the sparse cross-sectional profile curve.Then the initial surface deforms until its outline coincides with the sketched contour by the thin plate spline interpolation technique.Finally,the result is represented as a triangular mesh surface generated by An Implicit Surface Polygonizer.This method not only simplifies the sketching of complex surfaces,but the modeling process is very easy to grasp by the user.(2)An improved method of calculation Euclidean distance is proposed in the radial basis function interpolation.Improving the Euclidean distance function is used to solve the problem that the influence of constraint point on interpolated surface is small on a certain coordinate axis,by introducing the distance function influence factor in this direction.(3)A complex mesh surface modeling method based on conic curve interpolation technique is proposed for creating the surface.The method which approximates the cross-sectional contour of the ripple-disappearing surface as four conic curves connected end to end,converts solving the implicit surface equation into solving conic curve equation.This method only needs to two strokes to construct a complex mesh surface such as a ripple-disappearing surface.It not only simplifies the sketching of such surfaces,but also supports parameter-driven deformation of such surfaces.(4)An improved unit circle rolling pursuit algorithm is proposed for the extraction of vanishing line.The centerline has a property that the distance from any point on the centerline to its two contours is equal,and the unit circle rolling pursuit algorithm uses this property to extract the centerline.In this paper,a weighting factor is introduced in the unit circle rolling pursuit algorithm to make it possible to extract the vanishing line.(5)Combined with the method of this paper,a sketch-based prototype system was developed.The system not only integrates the two modeling functions proposed in this paper,but also integrates some other modeling functions and surface editing.It mainly includes: rotating surface design? cross-sectional blending surface design?rotational blending surface design?inflate surface design?design of mesh surface based on variational interpolation?design of mesh surface based on conic curve interpolation?sketch-based surface cutting?sketch-based surface extension.