A triangulation algorithm from arbitrary shaped multiple planar contours
ACM Transactions on Graphics (TOG)
The homotopy model: a generalized model for smooth surface generation from cross sectional data
The Visual Computer: International Journal of Computer Graphics - Special issue on computer graphics international '89(CGI'89)
ACM Transactions on Graphics (TOG)
Reconstruction of C1 closed surfaces with branching
Geometric modelling
Piecewise-linear interpolation between polygonal slices
Computer Vision and Image Understanding
Arbitrary topology shape reconstruction from planar cross sections
Graphical Models and Image Processing
Conversion of complex contour line definitions into polygonal element mosaics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
ACM SIGGRAPH 2003 Papers
Skinning Catmull-Clark Subdivision Surfaces with Incompatible Cross-Sectional Curves
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Efficient wavelet construction with Catmull–Clark subdivision
The Visual Computer: International Journal of Computer Graphics
G1-smooth branching surface construction from cross sections
Computer-Aided Design
| Hi-index | 0.00 |
In the current research a new algorithm has been developed to get surface from the contours having branches and a final smooth surface is obtained by reversible Catmull-Clark Subdivision. In branching, a particular layer has more than one contour, corresponds with the contour at the adjacent layer. The layer having more than one contour is converted into a 3D composite curve by inserting points between the layers. The points are inserted in such a way that the center of contours should merged to the center of the contours at the adjacent layer. This process is repeated for all layers having branching problems. In the next step, 3D composite curves are converted into different polyhedrons by the help of the contours at adjacent layers. Number of control points at different layer for contours and 3D curves may not be the same, in this case a special polyhedron construction technique has been developed. The polyhedrons are subdivided using reversible Catmull-Clark subdivision to give a smooth surface.