Filament winding is a well-established process to manufacture composite parts. With the
advancement of automation and process control technologies, the winding of dry fibers to …

In this paper, a quadrilateral grid generation algorithm based on surface fitting is proposed
for complex free-form surfaces. The ray-surface intersection and plane-surfce intersection …

This paper proposes a geometric algorithm for computation of geodesic on surfaces. The
geodesics on surfaces are traced in a simple way which is independent of the complex …

This paper discusses the problem of modeling on triangulated surfaces with geodesic
curves. In the first part of the paper we define a new class of curves, called geodesic Bézier …

Sweep is a natural, intuitive, and convenient 3D modeling method in computer-aided
design. Sweep surface can be obtained by extruding a 2D cross-sectional profile along a …

Finding the geodesic on a surface is an important task in many fields. As the traditional
discrete algorithms or numerical approach can only find a list of discrete points, this study …

Composite manufacturing processes such as automated tape placement (ATP) and filament
winding process (FW) put forward specific requirements for the geodesic curvature along the …

曲面上的测地线在图像处理, 机器人学, 数控加工等领域有着广泛的应用. 针对参数曲面,
提出了采用二阶, 三阶均匀B 样条配点法求解测地线边界值问题. 首先建立了测地线边界值问题 …

A lot of methods have been proposed for 2D path planning of mobile robot, which could be a
mobile platform or a wheelchair, in planar maps. This paper addresses a concept of the …

We define a new class of curves, called geodesic Bezier curves, that are suitable for
modeling on manifold triangulations. As a natural generalization of Bezier curves, the new …