Designing Modern Linkages to Trace Bezier Curves
نویسنده
چکیده
A design of a class of linkages is presented which are less complex than those suggested by Kapovich and Millson in the con guration of conventional planar linkages. Conventional linkage constraints are relaxed allowing sliding joints and telescoping links. The precise number of xed links, telescoping links, and sliding contacts is determined for this modern linkage to trace a Bézier curve of any degree in 2D or 3D space. A suggested realization of the linkage tracing a quadratic Bézier curve is provided.
منابع مشابه
3D Reconstruction Using Cubic Bezier Spline Curves and Active Contours (Case Study)
Introduction 3D reconstruction of an object from its 2D cross-sections (slices) has many applications in different fields of sciences such as medical physics and biomedical engineering. In order to perform 3D reconstruction, at first, desired boundaries at each slice are detected and then using a correspondence between points of successive slices surface of desired object is reconstructed. Mate...
متن کاملMidcourse Trajectory Shaping for Air and Ballistic Defence Guidance Using Bezier Curves
A near-optimal midcourse trajectory shaping guidance algorithm is proposed for both air and ballistic target engagement mission attributes for generic long range interceptor missile. This guidance methodology is based on the maximum final velocity as the objective function and maximum permissible flight altitude as the in-flight state constraint as well as the head-on orientation as the termina...
متن کاملDegree Elevation of Interval Bezier Curves Using Legendre-Bernstein Basis Transformations
This paper presents a simple matrix form for degree elevation of interval Bezier curve using LegendreBernstein basis transformations. The four fixed Kharitonov's polynomials (four fixed Bezier curves) associated with the original interval Bezier curve are obtained. These four fixed Bezier curves are expressed in terms of the Legendre polynomials. The process of degree elevations r times are app...
متن کاملPiecewise Bezier Curves Path Planning with Continuous Curvature Constraint for Autonomous Driving
We present two practical path planning algorithms based on Bezier curves for autonomous vehicles operating under waypoints and corridor constraints. Bezier curves have useful properties for the trajectory generation problem. This paper describes how the algorithms apply these properties to generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms generate t...
متن کاملMultiple Degree Reduction of Interval DP Curves
O. Ismail, Senior Member, IEEE Abstract— Fixed DP curve is a recent representation of the polynomial curves, proposed by Delgado and Pena in 2003. They introduced a new curve representation with linear computational complexity. An algorithmic approach to degree reduction of interval DP curve is presented in this paper. The four fixed Kharitonov's polynomials (four fixed DP curves) associated wi...
متن کامل