The metamorphosis between two user-specified objects offers an intuitive metaphor for designing animations of deforming shapes. We present a new technique for interactively editing such deformations and for animating them in realtime. Besides the starting and ending shapes, our approach offers easy to use additional control over the deformations. The new Bezier Interpolating Polyhedron (BIP) pr...

The Bezier formulation for parametric curves has many quali ties, among them the intuitive relationship between the shape of the control polygon and the shape of the curve , and the case of computation and subdivision. Other formulations , however, have become more popular because they offer local control, or because they are interpolating, or even more recently because they provide the added f...

This paper discusses an inverse solution consisting of the boundary condition estimation and the phase change front identification in continuous casting process. The solution procedure utilizes sensitivity coefficients and temperature measurements inside the solid phase. The algorithms proposed make use of the Boundary Element Method (BEM) in both 2D and 3D case. With the purpose of limiting a ...

In this paper problem for converting a circular arc into cubic Bezier arc and approximation of cubic Bezier curve by a set of circular arcs are discussed. These questions occur in CAD/CAM systems during data exchange from data formats which support Bezier curves or during data exchange into data formats, which do not support Bezier curves. Some simple and practical solutions are proposed. An al...

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...

Interval Bezier curve are new representation forms of parametric curves. Using this new representation, the problem of lack of robustness in all state-of-the art CAD systems can be largely overcome. In this paper this concept has been discussed to form a new curve over rectangular domain such that its parameter varies in an arbitrary range , instead of standard parameter , -. Where and are real...

Rational Bezier and B-spline representations of circles have been heavily publicized. However, all the literature assumes the rational Bezier segments in the homogeneous space are both planar and (equivalent to) quadratic. This creates the illusion that circles can only be achieved by planar and quadratic curves. In this paper we show circles that are formed by higher order rational Bezier curv...

In this paper an improved version of an earlier proposed algorithm for approximating cubic Bezier curve by a set of circular arcs is presented. It is investigated how the improved algorithm fits for approximation of quadratic Bezier curves. These issues occur in CAD/CAM systems during data exchange into data formats which do not support Bezier curves. Experimental results on examples, widely us...

Abstract Bezier is one of the influent polynomial and important tool for interpolation because it is easy to compute and is also very stable. In this paper, we develop very simpler constraints for Quadratic and Cubic Bezier curve which they ensure to constrained by a line. The end control points of the Quadratic and Cubic Bezier curve will be left on user desire and only middle control points o...

The distance between two objects is an important problem in CAGD, CAD and CG etc. It will be presented in this paper that a simple and quick method to estimate the distance between a point and a Bezier curve on a Bezier surface. Keywords—Geodesic-like curve, distance, projection, Bezier.