Computational geometry: an introduction
Computational geometry: an introduction
Real-time rendering of trimmed surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
An adaptive subdivision algorithm for crack prevention in the display of parametric surfaces
Proceedings on Graphics interface '90
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
The NURBS book
Large mesh generation from boundary models with parametric face representation
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Accelerated walkthrough of large spline models
Proceedings of the 1997 symposium on Interactive 3D graphics
Consistent solid and boundary representations from arbitrary polygonal data
Proceedings of the 1997 symposium on Interactive 3D graphics
VIS '97 Proceedings of the 8th conference on Visualization '97
Scan line methods for displaying parametrically defined surfaces
Communications of the ACM
Rendering trimmed NURBS with adaptive forward differencing
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
The Essentials of CAGD
Cutting and Stitching: Converting Sets of Polygons to Manifold Surfaces
IEEE Transactions on Visualization and Computer Graphics
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
A scan line algorithm for computer display of curved surfaces
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
A fast scan-line algorithm for rendering parametric surfaces
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
A subdivision algorithm for computer display of curved surfaces.
A subdivision algorithm for computer display of curved surfaces.
Incremental rendering of deformable trimmed NURBS surfaces
Proceedings of the ACM symposium on Virtual reality software and technology
Direct evaluation of NURBS curves and surfaces on the GPU
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Optimized GPU evaluation of arbitrary degree NURBS curves and surfaces
Computer-Aided Design
Interactive high quality trimmed NURBS visualization using appearance preserving tessellation
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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Most of the industrial parts are designed as trimmed NURBS. For their efficient rendering multiresolution models are needed. To create such models without artifacts at the trimming curves, one needs to sew parts together along the common boundaries. Due to the problem of determining the geometric places in 3D space along the trimming curves where sewing should be done, current approaches need to have a priori neighbourhood information of the patches and this way they do not provide an automatic solution to create large connected models just from a set of surfaces. In this paper we describe a method, which automatically determines common boundaries of trimmed NURBS surfaces and sews along them. Such a method provides us a non-manifold or manifold structure, which can be handled using standard multi-resolution techniques. Several examples of industrial data demonstrate the efficiency and applicability of our new method. The introduced techniques will also be included into the OpenSG scenegraph API [8] as the basic tool for NURBS rendering.