Approximate R3-spline surface skinning

Periodic B - Spline Surface Skinning Of

Cross-sectional design with curvature constraints

A practical example of B-spline curve control points manipulation for the geometric construction of a free form shape is presented. Elements of a cross-sectional design methodology are used in conjunction with a skinning type operator for the definition of a B-spline surface. Skinning process are well established in the CAD community but further difficulties arise in producing smooth surfaces u...

Smooth reconstruction of branching objects with B-splines

This paper addresses the problem of reconstructing objects defined by a set of 2D cross-sections. Each contour could be characterized by a set of vertices along a closed polygon. We use a skinning method: each contour is first modeled with a parametric B-spline curve, next a surface is stretched on these curves. We propose an extension to this method to obtain a closed surface that defines a vo...

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...

Semi-structured B-spline for blending two B-spline surfaces

Surface blending is a useful operation in geometric design for rounding sharp edges or corners. Meanwhile, NURBS has already become the de facto industrial standard in existing CAD/CAM systems. Therefore, it is required to study how to blend two B-spline surfaces. However, two arbitrary B-spline surfaces (called base surfaces) are hard to be blended with a B-spline surface (called blending surf...