Zhang Li-yan

Accurate 3D Target Positioning in Close Range Photogrammetry with Implicit Image Correction

Abstract Accurate three-dimensional (3D) target positioning is of great importance in many industrial applications. Although various methods for reconstructing 3D information from a set of images have been available in the literature, few of them pay enough attention to the indispensable procedures, such as target extraction from images and image correction having strong influences upon the 3D positioning accuracy. This article puts forward a high-precision ellipse center (target point) extraction method and a new image correction approach which has been integrated into the 3D reconstruction pipeline with a concise implicit model to accurately compensates for the image distortion. The methods are applied to a copyright-reserved close range photogrammetric system. Real measuring experiments and industrial applications have evidenced the proposed methods, which can significantly improve the 3D positioning accuracy.

Surface Measurement Based on Instantaneous Random Illumination

Abstract This article introduces a surface measurement system which is able to take a measurement in an extremely short period of less than 2 milliseconds. It is composed of two cameras together with a specifically designed projector that projects an instantaneous random image pattern onto the objective surface. With the aid of the projected pattern, a match of image with corresponding sub-pixel is steadily established and a cluster of dense 3D points is obtained at the same time. A detailed discussion about the design and implementation of hardware is presented. A system calibration algorithm taking into account the possible geometric error of the planar calibration board is also put forward. Experiments are carried out to evaluate the system accuracy and its capability of capturing details of complex surfaces.

Uniform Coverage of Fibres over Open-contoured Freeform Structure Based on Arc-length Parameter

Abstract This article uses arc-length parameters for path planning to carry out robotic fibre placement (RFP) over open-contoured structures. This allows representing the initial path and offset points using an identical mathematical equation and computation by more simple arithmetic. With the help of classical differential geometry, the calculation of fiber-placing paths may be reduced to solution of initial-value problems of first-order ordinary differential equations in the parametric domain (parametrically defined mould surface) or in 3D space (an implicitly defined mould surface), thereby significantly improving on the existing methods. Compared with the conventional methods, the proposed method, besides its computational simplicity, has a better error control mechanism in computing the initial path and offset points. Numerical experiments are also carried out to demonstrate the feasibility of the new method in composite forming processes and also its potential application in computer numerical control (CNC) machining, surface trim, and other industrial practices.

Constructing G2 Continuous Curve on Freeform Surface with Normal Projection

Abstract This article presents a new method for G 2 continuous interpolation of an arbitrary sequence of points on an implicit or parametric surface with prescribed tangent direction and curvature vector, respectively, at every point. First, a G 2 continuous curve is constructed in three-dimensional space. Then the curve is projected normally onto the given surface. The desired interpolation curve is just the projection curve, which can be obtained by numerically solving the initial- value problems for a system of first-order ordinary differential equations in the parametric domain for parametric case or in three-dimensional space for implicit case. Several shape parameters are introduced into the resulting curve, which can be used in subsequent interactive modification so that the shape of the resulting curve meets our demand. The presented method is independent of the geometry and parameterization of the base surface. Numerical experiments demonstrate that it is effective and potentially useful in numerical control (NC) machining, path planning for robotic fibre placement, patterns design on surface and other industrial and research fields.