Segmentation Algorithm for Surface Reconstruction According to Data Provided by Laser-Based Scan Point

Development of an Intelligent Robotic System for Plasma Processing of Industrial Products with Complex Shape

“…In order to overcome these difficulties, a data processing algorithm that uses regression analysis methods has been developed in order to build a local parameterizable surface model. The surface segmentation procedure has been described in previous papers [22,23], during which local models of overlapping surface segments are combined into regions with a homogeneous geometric structure described by a general analytical parameterizable model, which allows without a priori knowledge of the geometric structure surface construct an analytical 3D model of a surface with a complex structure. From authors' knowledge this is the first research team to propose the use of numerical values of the Gaussian and mean curvature of the surface as a criterion for the homogeneous geometric structure of two local regions of the surface [22,23].…”

“…The surface segmentation procedure has been described in previous papers [22,23], during which local models of overlapping surface segments are combined into regions with a homogeneous geometric structure described by a general analytical parameterizable model, which allows without a priori knowledge of the geometric structure surface construct an analytical 3D model of a surface with a complex structure. From authors' knowledge this is the first research team to propose the use of numerical values of the Gaussian and mean curvature of the surface as a criterion for the homogeneous geometric structure of two local regions of the surface [22,23]. The segmentation procedure is necessary for the further formation of the trajectory of the manipulator for two reasons: i), the methods used to form the path of the manipulator uses an analytical model of the surface as input data and ii) the use of segmentation methods allows to partially solve the problems arising in the reconstruction of surfaces, the shape of which cannot be described by a smooth function of two variables (surfaces with "fractures").…”