Abstract In recent years, trochoidal milling has become greatly widespread since it provides high productivity and long tool life, especially when cutting difficult-to-machine materials. Numerous studies have dealt with the analytical description experimental investigation of evolution force, temperature, wear, chatter stability, etc. However, most these analyses are focusing on conventional ci...

The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple paramet...

This paper discusses how to construct a B-spline surface from its boundary information and inner points. First, an algorithm is presented which can construct a B-spline surface that interpolates four given boundary curves and simultaneously approximates given inner points. Then, the approach is extended to interpolate the cross-boundary derivatives as well. The main idea of this method is that ...

In this paper we present a method which tries to automatically represent the designer’s intention while sketching threedimensional curves in a Virtual Reality environment. We translate conceptual sketch strokes into a suitable B-spline representation with a three step method. Firstly a data filter is used to eliminate redundancy and noise in ‘pen’ position recorded by the 3D tracking system. Se...

To nd a global and smooth curve tting, cubic B-Spline method and gathering-line methods are investigated. When segmenting and recognizing a contour curve of character shape, some global method is required. If we want to connect contour curves around a singular point like crossing points, merging separated contours together which lies apart crossing the singular point is necessary. For this purp...

Functional principal component analysis (FPCA) is a dimension reduction technique that explains the dependence structure of a functional data set in terms of uncorrelated variables. In many applications the data are a set of smooth functions observed with error. In these cases the principal components are difficult to interpret because the estimated weight functions have a lot of variability an...

This paper presents a geometric pruning method for computing the Hausdorff distance between two B-spline curves. It presents a heuristic method for obtaining the one-sided Hausdorff distance in some interval as a lower bound of the Hausdorff distance, which is also possibly the exact Hausdorff distance. Then, an estimation of the upper bound of the Hausdorff distance in an sub-interval is given...

A new automatic local fairing technique for planar B-spline curves is presented in this paper. According to the design intent, a target curvature plot, which is provided by the designer, is used to identify ‘bad’ points and ‘bad’ curve segments. Then, the corresponding control points are modified in a process of local constrained optimization where the importance of fairness in the sense of ene...