This paper presented the G1 cubic trigonometric spline function with three shape parameters that generate a constrained curve interpolates 2D data. The purpose of this research is to ensure generated passes through all data point yet satisfied cases line constraints given. are: must lie above Li below and lastly, between two lines Li,1 Li,2. A simpler theorem implemented involving roles paramet...

Abstract. The paper considers the problem of identifying game events in a video beach volleyball. As method for solving problem, combined approach is proposed based on recognizing trajectory ball and constructing skeletal representations players. Temporal localization carried out by searching changes using construction composite Bezier curve. Spatial performed positioning players frame at momen...

Based on the matrix perturbation technique. a fast-fitting algorithm using uniform cubic B-spline curves is presented. Our algorithm entails much less floating-point operations when compared with Gaussian elimination method. In addition, our result can be applied to solve the closed cubic B-spline curve-fitting problem. Experimental results are included for a practical version. These experiment...

The Pythagorean hodograph (PH) curves are polynomial parametric curves whose hodograph (derivative) components satisfy the Pythagorean condition. Lots of research works had been done with PH curves relevant topics due that PH curves own many remarkable properties, e.g., its offset curves have exact rational representations. In this paper, ball curves with rational polynomial offset are studied....

Abstract Bezier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties provide the user with intuitive tools editing shape of a parametric polynomial curve. Even more control flexibility can be achieved by associating parameter each point considering rational curves, which comes additional advantage being able to represent all conic sect...