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...

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...

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...

We present an approach for representing digital image by using B-spline curve fittings to the segmented digital image. The image is first segmented to form isolated contours and regions. Each region’s boundary (contour) is thereafter approximated by a B-spline curve. A cubic B-spline curve is used instead of a far higher degree Bezier curve to approximate the boundary because it has a local con...

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...

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...

We propose a new kind of models, which are called Nonlinear Deformable Superquadric (NDS) models, for representing and reconstructing 3D objects. Instead of linear tapering deformation, a piecewise cubic Bezier spline is used to deform superquadrics. By changing the control points of the spline, the shape of the model is deformed as if it was made of a flexible material. In this manner, we can ...

-In this paper, we will present a simple and quick sampling method to digitize the cubic Bezier curves via controlled the chordal error. Key-Words: sampling method, chordal error, cubic Bezier curve