Geometry-based triangulation of trimmed NURBS surfaces

Piegl, Les A.; Tiller, Wayne

doi:10.1016/s0010-4485(97)00047-x

Cited by 72 publications

(28 citation statements)

References 18 publications

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“…. , M lying within the parameter space of the surface (see also [16]). Thus, a trimmed surface is a partially visible surface, defined by the trimmed domain which is described by the trimming curves.…”

Section: Trimmed Nurbs Surfacesmentioning

confidence: 99%

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

Teschemacher

Bauer

Oberbichler

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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An entire design-through-analysis workflow solution for isogeometric B-Rep analysis (IBRA), including both the interface to existing CADs and the analysis procedure, is presented. Possible approaches are elaborated for the full scope of structural analysis solvers ranging from low to high isogeometric simulation fidelity. This is based on a systematic investigation of solver designs suitable for IBRA. A theoretically ideal IBRA solver has all CAD capabilities and information accessible at any point, however, realistic scenarios typically do not allow this level of information. Even a classical FE solver can be included in the CAD-integrated workflow, which is achieved by a newly proposed meshless approach. This simple solution eases the implementation of the solver backend. The interface to the CAD is modularized by defining a database, which provides IO capabilities on the base of a standardized data exchange format. Such database is designed to store not only geometrical quantities but also all the numerical information needed to realize the computations. This feature allows its use also in codes which do not provide full isogeometric geometrical handling capabilities. The rough geometry information for computation is enhanced with the boundary topology information which implies trimming and coupling of NURBS-based entities. This direct use of multi-patch trimmed CAD geometries follows the principle of embedding objects into a background parametrization. Consequently, redefinition and meshing of geometry is avoided. Several examples from illustrative cases to industrial problems are provided to demonstrate the application of the proposed approach and to explain in detail the proposed exchange formats.

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Section: Trimmed Nurbs Surfacesmentioning

confidence: 99%

Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis

Teschemacher

Bauer

Oberbichler

et al. 2018

Adv. Model. and Simul. in Eng. Sci.

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“…There are many available algorithms [17,18,19,20,21,22,23,24] for triangulation of the surface in the parametric space. The objective of the triangulation is to obtain triangles the edge lengths of which do not exceed the allowed length W determined by Eq.…”

Section: Constructing Nurbs or B-spline Surfacesmentioning

confidence: 99%

“…The advantages of adaptive methods for automatic triangulation of 3D parametric surfaces are described in a number of papers [19,20,21,22,23,24,25]. The key advantage is that the accuracy of approximation can be guaranteed by adjusting the tolerance e. To utilise the advantages of these adaptive methods for automatic triangulation of 3D parametric surfaces and to generate STL files directly from point clouds, a new algorithm is developed in this paper.…”

Section: Introductionmentioning

confidence: 99%

STL file generation from digitised data points based on triangulation of 3D parametric surfaces

Zhongwei

Shou-wei

2004

Int J Adv Manuf Technol

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For the current generation of rapid-prototyping models, laser scanners are currently being used more frequently due to rapid first measuring speed and high precision. Direct generation of an STL file from the digitised points has a great of advantage in that it can reduce time and error during the modelling process. A reduction in the number of point data is important while generating the STL file directly from the measured point data and maintaining precision. A new approach is developed in this paper to generate an STL file directly from point clouds by indicating a tolerance e to maintain precision. The STL file can be generated directly from scattered points using a new algorithm that reduces and triangulates digitised point data based on triangulation of 3D parametric surfaces. Two experimental examples are presented to demonstrate the effectiveness and efficiency of the proposed algorithm.

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“…For visualization, trimmed surfaces are rendered in two stages [67,77]: the surface is divided into a number of planar tesselants (triangles or other polygons), which are rendered using standard methods for planar polygons. Other algorithms for tessellation of trimmed NURBS surfaces can be found in [63] (and references 6-19 therein). …”

Section: Trimmed Surfacesmentioning

confidence: 99%