The parametric curve is a widely used primitive in computer graphics. This chapter discusses the problem of finding a suitable polyline representation for the curve. A common algorithm for generating a polyline close to a curve is to calculate the maximum distance from the curve to the line ...
Corner detection and curve representation using cubic B -splines In this paper, we propose to use B-Splines to represent digital curves. We have developed an efficient algorithm to locate corners and at the same time enc... G Medioni,Y Yasumoto - 《Computer Vision Graphics & Image Processing...
Theoretical or Mathematical/ computer graphicscurve fitting/ curvessurfacessynchronized editingmultiple curve representationsmanipulation toolsrepresentationpolylinesNURBsB-splines/ C6130B Graphics techniquesEditing curves and surfaces is difficult in part because their mathematical representations rarely correspond to ...
either as a fixed point representation over the unit range [0, 1] or corresponding to the machine word size. Both representations are equivalent and allow for the highest order non-zero bit to be found in constant time. Each square in the quadtree has a side length which is a power of ...
ND Cornea,D Silver,P Min - 《IEEE Transactions on Visualization & Computer Graphics》 被引量: 709发表: 2007年 Computing hierarchical curve-skeletons of 3D objects A curve-skeleton of a 3D object is a stick-like figure or centerline representation of that object. It is used for diverse applic...
It is shown that Euler arc splines have several properties desired by aesthetics of curves, in addition to computational simplicity and NURBS representation. An algorithm is proposed for curve completion using Euler arc splines. The development of the algorithm involves two optimization processes, which...
Creates the geometric data that represents this curve according to the standard Killer B’s representation. Note this method’s differences from the other create method. This method assumes that the size of the number of knots passed in the knot vector is always numControlPts + deg + 1 (or...
Active contours using a constraint-based implicit representation We present a new constraint-based implicit active contour, which shares desirable properties of both parametric and implicit active contours. Like parametr... BS Morse,W Liu,TS Yoo,... - IEEE Computer Society Conference on Computer Vi...
Conclusions are drawn in Sect. 9. Finally, Appendix A briefly introduces the different manifolds {\mathbb {X}} used in our numerical examples together with the Fourier representation of probability measures on {\mathbb {X}}. 2 Probability Measures and Curves In this section, the basic notation...
Example 1: Mathematical Representation of the Koch CurveUsing complex numbers, the Koch Curve can be visualised in an intriguing way. The formula below can be used to construct the (n-1)th iteration, or F(n-1), from the nth iteration of the curve, indicated by F(n)....