Robust Convex Hull-based Algoritm for Straightness and Flatness Determination in Coordinate Measuring

Convex Hull Approach for Minimum Zone Evaluation of Straightness and Flatness

Algorithms to determine the minimum zone straightness and flatness have been successfully established by a number of researchers. This paper after presenting algorithms based on techniques borrowed from computational geometry focuses on the robustness and simplicity of the mathematical techniques. As the most resource consuming part of these algorithms is the determination of the convex hull, b...

Simple Procedure for Minimum Zone Evaluation of Straightness and Flatness

Algorithms to determine the minimum zone straightness and flatness have been successfully established by a number of researchers. This paper after presenting algorithms based on techniques borrowed from computational geometry focuses on the robustness and simplicity of the mathematical techniques. As the most resource consuming part of these algorithms is the determination of the convex hull, b...

Determination of flatness from straightness measurements and characterization of the surface by four parameters

Since for medium and larger objects there is no usable flatness reference in the sub-micron range, flatness deviations must be found from straightness measurements. The extensive task o f coupling the straight reference lines into a reference f lat is done using a computer. This simplifies the measuring procedure and offers much statistical information. The method described can be seen as a gen...

Measuring Interval Efficiency in Convex Hull of Data Using DEA

Single Tree Stem Profile Detection Using Terrestrial Laser Scanner Data, Flatness Saliency Features and Curvature Properties

A method for automatic stem detection and stem profile estimation based on terrestrial laser scanning (TLS) was validated. The root-mean-square error was approximately 1 cm for stem diameter estimations. The method contains a new way of extracting the flatness saliency feature using the centroid of a subset of a point cloud within a voxel cell that approximates the point by point calculations. ...