Journal
COMPUTER-AIDED DESIGN
Volume 40, Issue 10-11, Pages 999-1008Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2008.08.001
Keywords
Surface lofting; B-spline surface interpolation; B-spline curve compatibility; Energy minimization
Categories
Funding
- Chinese 973 Program [2004CB719400]
- Chinese 863 Program [2007AA040401]
- INRIA/Tsinghua University Program [D 4748]
- National Science Foundation of China [60625202, 60635020, 90715043]
- National Excellent Doctoral Dissertation of PR China [200342]
- Ying Tung Education Foundation [111070]
Ask authors/readers for more resources
A new algorithm for reducing control points in lofted Surface interpolation to rows of data points is presented in this paper. The key step Of Surface lofting is to obtain a set of compatible B-spline curves interpolating each row. Given a set of points and their parameterization, a necessary and sufficient condition is proposed to determine the existence of interpolating B-spline curves defined on a given knot vector. Based on this condition, we first properly construct a common knot vector that guarantees the existence of interpolating B-spline curves to each row of points. Then we calculate a set of interpolating B-spline curves defined on the common knot vector by energy minimization. Using this method, fewer control points are employed while maintaining a visually pleasing shape of the lofted surface. Several experimental results demonstrate the usability and quality of the proposed method. (c) 2008 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available