B-spline surface approximation to cross-sections using distance maps
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- B-spline surface approximation to cross-sections using distance maps
- Jeong, J; Kim, K; Park, H; Cho, H; Jung, Mooyoung
- B-spline; cross-section; distance map; surface approximation; surface skinning
- Issue Date
- SPRINGER LONDON LTD
- INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, v.15, no.12, pp.876 - 885
- 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, we present method of surface approximation to cross-sections with multiple branching 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 by cubic B-spline surfaces. This method provides a smooth surface model, yet realizes efficient data reduction.
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