Characteristic Measures for the Representation Ofmanufactured Surface

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Characteristic Measures for the Representation of Manufactured Surface Quality

In this paper, we investigate four methods that yield mathematical measures to analyze the precision of surfaces of manufactured parts. These four methods, namely the au-tocorrelation function, the Fourier spectrum, the Karhunen-Lo eve expansion, and a fractal-wavelet representation, are applied to surfaces produced from grinding processes. The rst two methods are standard methods used in the s...

Representation of a digitized surface by triangular faces

This paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. The method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. Assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. The method allows the measurement of the local quality ...

Representation of a digitized surface by triangular faces

This paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. The method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. Assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. The method allows the measurement of the local quality ...

Construction of a surface pencil with a common special surface curve

In this study, we introduce a new type of surface curves called $D$-type curve. This curve is defined by the property that the unit Darboux vector $vec{W}_{0} $ of a surface curve $vec{r}(s)$ and unit surface normal $vec{n} $ along the curve $vec{r}(s)$ satisfy the condition $leftlangle vec{n} ,vec{W}_{0} rightrangle =text{constant}$. We point out that a $D$-type curve is a geodesic curve or an...