Direct 5-axis tool-path generation from point cloud input using 3D biarc fitting

Chui, K.L.; Chiu, W. K.; Yu, Kai Ming

doi:10.1016/j.rcim.2006.11.004

Cited by 45 publications

(21 citation statements)

References 12 publications

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“…Biarcs are smooth and invariant to rigid transformations, but they do not guarantee that the total curvature is minimized and they are not extensible [5]. Biarcs are generalized to 3D in [6,29].…”

Section: Related Workmentioning

confidence: 99%

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3D Euler spirals for 3D curve completion

Harary

Tal

2010

Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry

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Shape completion is an intriguing problem in geometry processing with applications in CAD and graphics. This paper defines a new type of 3D curves, which can be utilized for curve completion. It can be considered as the extension to three dimensions of the 2D Euler spiral. We prove several properties of these curves -properties that have been shown to be important for the appeal of curves. We illustrate their utility in two applications. The first is "fixing" curves detected by algorithms for edge detection on surfaces. The second is shape illustration in archaeology, where the user would like to draw curves that are missing due to the incompleteness of the input model.

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Section: Related Workmentioning

confidence: 99%

“…Next, we define the curve that satisfies Equation (6). This definition is in the form of a set of differential equations.…”

Section: D Euler Spiralsmentioning

confidence: 99%

3D Euler spirals for 3D curve completion

Harary

Tal

2010

Proceedings of the Twenty-Sixth Annual Symposium on Computational Geometry

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“…These patterns support the toolpath and are determined to ensure the specified machining error and scallop height constraints. Chiu et al [5] used a method to construct a triangular meshed surface from point clouds. Subsequently, the computed toolpath is based on this meshed surface using toolpath smoothing with Biarc curves.…”

Section: Introductionmentioning

confidence: 99%

Improvement of toolpath quality combining polynomial interpolation with reduction of toolpath points

Bouchenitfa

Chaves‐Jacob

Linares

et al. 2014

Int J Adv Manuf Technol

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Abstract:The aim of this study is to propose a 5-axis toolpath smoothing method in order to improve the quality of machined surfaces. Currently, toolpaths are commonly computed from CAD models presenting small geometrical discontinuities. These discontinuities may be caused by an insufficient quality of the CAD model (geometrical discontinuities) and the use of meshed surfaces (e.g. STL files). Normally, CAM systems generate linearly interpolated toolpaths. CNC options are then used on the machine to smooth the toolpath. The geometrical discontinuities of CAD models and linear toolpath interpolation may induce a unsmooth toolpath. This type of toolpath causes marks on the machined workpiece even if classical enhanced CNC options are used. Generally, these marks are unacceptable for the functionality of the workpiece. To reduce this problem, this study proposes a method to efficiently smooth toolpaths and consequently improve the obtained surface quality. The proposed method may be employed with high end controllers commonly used on 5-axis CNC machines. First, a five degree polynomial interpolation method is presented. This interpolation is computed to ensure geometrical continuity in the slope and curvature of the obtained toolpath. Next, a concatenation method is proposed to reduce the size of the CNC program and to improve the toolpath smoothness. Moreover, the purpose of this concatenation is to obtain an optimized repartition of points along the toolpath. Furthermore, in a reverse engineering process this method avoids surface reconstruction, decreasing the process time and improving the quality of the obtained surface. The efficiency of these methods is validated by the machining of biomedical prostheses. The CAD model used for the test is a meshed surface.2

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“…Pekerman et al (2008) proposed the self-intersection detection and elimination method in freeform curves and surfaces. Chui et al (2008) proposed a direct method for constructing 3D triangular mesh from the digitizing data with the mesh points considered as the tool contact locations. Fan and Ball (2008) presented the quadric method (QM) that exploits fully the two orientation angles to maximize the machining efficiency at a CC point.…”

Section: Introductionmentioning

confidence: 99%

Collisionless tool orientation smoothing above blade stream surface using NURBS envelope

Zhang

2013

J. Zhejiang Univ. Sci. A

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Abstract:In five-axis machining, tool orientation above a blade stream surface may lead to tool collision and a decrease in workpiece rigidity. Hence, collisionless tool orientation smoothing (TOS) becomes an important issue. On the basis of a constant scallop height tool path, the triangular facets in the faces, vertices format are constructed from cutter contact (CC) using the Voronoi incremental algorithm. The cutter location (CL) points candidate set is represented by an oblique elliptic cone whose vertex lies at CC using NURBS envelope. Whether the CL point is above its CC is judged by the dot product between the normal vector and the point on triangulation nearest to the CL point. The curvatures at CC are obtained by fitting a moving least square (MLS) quadratic patch to the local neighborhood of a vertex and calculating eigenvectors and eigenvalues of the Hessian matrix. Triangular surface elastic energy is employed as the weight in selection from the NURBS envelope. The collision is judged by NURBS surface intersection. TOS can then be expressed by selecting a CL point for each CC point and converted into a numerical control (NC) code automatically according to the postprocessor type of the machine center. The proposed method is verified by finishing of a cryogenic turboexpander impeller of air separation equipment.

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Direct 5-axis tool-path generation from point cloud input using 3D biarc fitting

Cited by 45 publications

References 12 publications

3D Euler spirals for 3D curve completion

3D Euler spirals for 3D curve completion

Improvement of toolpath quality combining polynomial interpolation with reduction of toolpath points

Collisionless tool orientation smoothing above blade stream surface using NURBS envelope

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