A new approach for lofted B-spline surface interpolation to serial contours
SCIE
SCOPUS
- Title
- A new approach for lofted B-spline surface interpolation to serial contours
- Authors
- Park, H; Jung, HB; Kim, K
- Date Issued
- 2004-06
- Publisher
- SPRINGER LONDON LTD
- Abstract
- This paper addresses the problem of B-spline surface interpolation to serial contours, where the number of points varies from contour to contour. A traditional approach to the problem creates a set of B-spline curves via B-spline curve interpolation to each contour, makes them compatible via degree elevation and knot insertion and performs B-spline surface lofting to get a B-spline surface that interpolates them. The approach tends to result in an astonishing number of control points in the lofted B-spline surface. This situation arises mainly from the inevitable process of progressively merging different knot vectors to make the B-spline curves compatible. This paper presents a new approach for fixing this problem. The approach includes a novel process of obtaining a set of compatible B-spline curves from the given contours. The process is based on universal parameterisation [1, 2], allowing the knots to be selected freely but leading to a more stable linear system for B-spline curve interpolation. Since the number of control points in each compatible B-spline curve is equal to the highest number of contour points, the proposed approach can realise efficient data reduction and provide a compact representation of a lofted B-spline surface while keeping the desired surface shape. Some experimental results demonstrate its usefulness and quality.
- Keywords
- B-spline surface interpolation; surface lofting; serial contours; B-spline curve compatibility; CURVE
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17878
- DOI
- 10.1007/s00170-003-1720-0
- ISSN
- 0268-3768
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, vol. 23, no. 11-12, page. 889 - 895, 2004-06
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