| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 439936 | Computer-Aided Design | 2006 | 9 Pages |
Abstract
Ensuring that geometric models have the required draft angle is very important for many manufacturing applications. In this paper an algorithm is presented that ensures that 2D B-splines fitted to point data will have a specified draft angle. First, sufficient conditions are derived that will be used as constraints in the least squares fitting of B-splines to the point data. A Least SQuares fitting algorithm with Draft Angle Constraints (LSQ-DAC) is developed. The algorithm is compared to two non-linear programming methods, the Augmented Lagrange Multiplier method and the Sequential Quadratic Programming method. The paper concludes with a case study showing the application in 3D.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Kristiaan Schreve,