APPLICATION OF B-SPLINE METHOD IN SURFACE FITTING PROBLEM

A direct method to solve optimal knots of B-spline curves: An application for non-uniform B-spline curves fitting

B-spline functions are widely used in many industrial applications such as computer graphic representations, computer aided design, computer aided manufacturing, computer numerical control, etc. Recently, there exist some demands, e.g. in reverse engineering (RE) area, to employ B-spline curves for non-trivial cases that include curves with discontinuous points, cusps or turning points from the...

Parallel B-Spline Surface Fitting on Mesh-Connected Computers

sented, where cost is defined to be the product of time and the number of processors used [19]. Using a newly proposed computational model called the mesh-of-unshuffle network, Chung and Lin [7] presented an O(log m log n)-time parallel algorithm using O(mn/(log m log n)) processors. On a hypercube network, a similar result was presented by Lin and Chung [20]. Using the pipelining strategy [11]...

B-spline Curve Fitting: Application to Cartographic Generalization of Maritime Lines

Generalization is the process of abstraction applied when the scale of a map is changed. It involves modifications of data in such a way that the data can be represented in a smaller space, while best preserving geometric as well as descriptive characteristics. A map is an abstracted model representing the geometric reality. The smaller the scale, the more schematic the representation. Line car...

Least-Squares Fitting of Data with B-Spline Curves

Least-Squares Fitting of Data with B-Spline Surfaces