## Cylindrical Surface Pasting (1999)

Venue: | University of Waterloo |

Citations: | 6 - 2 self |

### BibTeX

@TECHREPORT{Mann99cylindricalsurface,

author = {Stephen Mann and Teresa Yeung},

title = {Cylindrical Surface Pasting},

institution = {University of Waterloo},

year = {1999}

}

### OpenURL

### Abstract

In the paper, we present cylindrical surface pasting, an extension of standard surface pasting that uses the surface pasting technique to attach two surfaces. The major issues discussed here are the domain mappings and the mapping of the feature control points. There are two types of domain mappings, depending on whether we paste a cylinder onto a NUBS sheet or another NUBS cylinder. The mapping of the feature control points has to address both continuity and shape issues. 1 Introduction Hierarchical modeling is an important research topic. Many surfaces have varying levels of detail, and modeling techniques that explicitly represent these levels of detail are useful both in terms of reduced storage and in interactive modeling paradigms where users will want to interact with their models at different levels of detail. There are several methods for hierarchical modeling, including Hierarchical B-splines [6] and various wavelet techniques. Surface pasting is another hierarchical modeli...

### Citations

956 |
Curves and Surfaces for Computer Aided Geometric Design, Fifth ed
- Farin
- 2002
(Show Context)
Citation Context ...rves that connect assigned pairs of trimline points and contribute to the blending surface. 3 Surface Pasting Process Tensor product B-spline surfaces play an important role in current surface design =-=[5]-=-, especially in surface pasting. Since standard surface pasting is the starting point for the technique described in this paper, we give a quick review of how it works. For details, see any of the ear... |

191 |
Hierarchical B-spline refinement
- Forsey, Bartels
- 1988
(Show Context)
Citation Context ...interactive modeling paradigms where users will want to interact with their models at different levels of detail. There are several methods for hierarchical modeling, including Hierarchical B-splines =-=[6]-=- and various wavelet techniques. Surface pasting is another hierarchical modeling method that has a couple of advantages over most other techniques. In particular, with surface pasting, the user can c... |

26 |
A survey of blending methods that use parametric surfaces. Computer-Aided Des
- Vida, RR, et al.
- 1994
(Show Context)
Citation Context ...ida, and Varady have published a survey of different blending methods using parametric surfaces that clarifies the nature of blending and the relationships between various parametric blending methods =-=[9]-=-. Using the Martin-Vida-Varady terminology, the cylindrical surface pasting method described in this paper can be though of as a local parametric-blending method. In particular, we use a trimline-base... |

24 | Pasting spline surfaces
- Barghiel, Bartels, et al.
- 1994
(Show Context)
Citation Context ...sting. Since standard surface pasting is the starting point for the technique described in this paper, we give a quick review of how it works. For details, see any of the earlier works on the subject =-=[2, 1, 3]-=-. The pasting process is illustrated in Figure 2. In surface pasting, we have both a base surface and a feature surface, each of which is in tensor-product B-spline form. The basic idea is to adjust t... |

8 | Spline overlay surfaces
- Bartels, Forsey
- 1991
(Show Context)
Citation Context ...sting. Since standard surface pasting is the starting point for the technique described in this paper, we give a quick review of how it works. For details, see any of the earlier works on the subject =-=[2, 1, 3]-=-. The pasting process is illustrated in Figure 2. In surface pasting, we have both a base surface and a feature surface, each of which is in tensor-product B-spline form. The basic idea is to adjust t... |

3 |
New approaches to freeform surface fillets
- Kim, Elber
- 1997
(Show Context)
Citation Context ...Note that if we use just the L0 and L1 layers and no intermediate control points, then we will have a set of cubic Hermite splines in the U direction, giving a result similar to that of Kim and Elber =-=[7]-=-. However, as we plan to use our method for modeling more complex joins, our extrusion method fits more layers of control points in the U direction. For exact details on our method, see the technical ... |

2 |
Good approximation of circles by curvature continuous Bézier curves
- Dokken, Dæhlen, et al.
- 1990
(Show Context)
Citation Context ...The cross section of a cylinder is a circular curve. Although circles cannot be represented exactly using a NUBS curve, a NUBS curve can represent a closed curve that is a good approximation a circle =-=[4]-=-. To represent a closed curve with a cubic NUBS, we set the last three control points to be the first three control points, with an appropriate setting of the knot vector. Mathematically, if we have a... |

1 |
space user interface for surface pasting
- World
- 1996
(Show Context)
Citation Context ...sting. Since standard surface pasting is the starting point for the technique described in this paper, we give a quick review of how it works. For details, see any of the earlier works on the subject =-=[2, 1, 3]-=-. The pasting process is illustrated in Figure 2. In surface pasting, we have both a base surface and a feature surface, each of which is in tensor-product B-spline form. The basic idea is to adjust t... |