B-spline surface approximation to cross-sections using distance maps
SCIE
SCOPUS
- Title
- B-spline surface approximation to cross-sections using distance maps
- Authors
- Jeong, J; Kim, K; Park, H; Cho, H; Jung, M
- Date Issued
- 1999-01
- Publisher
- SPRINGER-VERLAG LONDON LTD
- Abstract
- The shape reconstruction of a 3D object from its 2D cross-sections is important for reproducing it by NC machining or rapid prototyping. In this paper,ve present a method of surface approximation to cross-sections with multiple brunching problems. In this method, we first decompose each multiple branching problem into a set of single branching problems by providing a set of intermediate contours using distance maps. For each single branching region, a procedure then performs the skinning of contour curves represented by cubic B-spline curves on a common knot vector, each of which is fitted to its contour points within a given accuracy. In order to acquire a more compact representation for the surface, the method includes an algorithm for reducing the number of knots in the common knot vector. The approximation surface to the cross-sections is represented by a set of bicubic B-spline surfaces. This method provides a smooth surface model, yet realises efficient data reduction.
- Keywords
- B-spline; cross-section; distance map; surface approximation; surface skinning; PLANAR CONTOURS; CONSTRUCTION; ALGORITHM; MODELS; POINTS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/20156
- DOI
- 10.1007/s001700050145
- ISSN
- 0268-3768
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, vol. 15, no. 12, page. 876 - 885, 1999-01
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