Tool path generation by offsetting curves on polyhedral surfaces based on mesh flattening

Polyhedral surfaces are used as representation model for CAM and process planning purposes because of its simplicity for data exchange and geometric computation. However, there are few tool path planning strategies for such surfaces but isoplanar method. This paper presents a contour offset approach to tool path generation for three-axis ball-end milling of polyhedral surfaces, based on a novel method for offsetting curves on polyhedral surfaces. One of its salient features is to reduce the task of removing complex interfering of offsets from 3D physical surfaces to 2D plane by flattening mesh surfaces and avoid costly 3D Boolean set operations and relatively expensive distance calculation. Moreover, in practical implement, the procedures of calculating offset points and removing interfering loops are merged and carried out simultaneously results in an efficient tool path generation method. Empirical examples illustrate the feasibility of the proposed method.

[1]  Dong-Soo Kim,et al.  A new curve-based approach to polyhedral machining , 2002, Comput. Aided Des..

[2]  Sang C. Park.  Sculptured surface machining using triangular mesh slicing , 2004, Comput. Aided Des..

[3]  Hon-Yuen Tam,et al.  A geometric approach to the offsetting of profiles on three-dimensional surfaces , 2004, Comput. Aided Des..

[4]  W Li,et al.  Tool-Path Generation Based on Angle-Based Flattening , 2010 .

[5]  Gandjar Kiswanto,et al.  Gouging elimination through tool lifting in tool path generation for five-axis milling based on faceted models , 2007 .

[6]  Anshuman Razdan,et al.  Curvature estimation scheme for triangle meshes using biquadratic Bézier patches , 2005, Comput. Aided Des..

[7]  Paul J. Gray,et al.  Arc-intersect method for 5-axis tool positioning , 2005, Comput. Aided Des..

[8]  Y. Chen,et al.  A three-dimensional configuration-space method for 5-axis tessellated surface machining , 2008, Int. J. Comput. Integr. Manuf..

[9]  Zhen-Yuan Jia,et al.  Spiral cutting operation strategy for machining of sculptured surfaces by conformal map approach , 2006 .

[10]  Min-Yang Yang,et al.  Incomplete mesh-based tool path generation for optimum zigzag milling , 2008 .

[11]  Min-Yang Yang,et al.  Incomplete mesh offset for NC machining , 2007 .

[12]  H. T. Loh,et al.  Tool-path generation for five-axis machining of free-form surfaces based on accessibility analysis , 2002 .

[13]  Ehud Rivlin,et al.  A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data , 2007, Comput. Vis. Image Underst..

[14]  Min-Yang Yang,et al.  A CL surface deformation approach for constant scallop height tool path generation from triangular mesh , 2005 .

[15]  Les A. Piegl,et al.  Tessellating trimmed surfaces , 1995, Comput. Aided Des..

[16]  Gandjar Kiswanto,et al.  Development of a Five-axis Milling Tool Path Generation Algorithm based on Faceted Models , 2003 .

[17]  Min-Yang Yang,et al.  Triangular mesh offset for generalized cutter , 2005, Comput. Aided Des..

[18]  Jian Liu,et al.  Computation of medial axis and offset curves of curved boundaries in planar domain , 2008, Comput. Aided Des..

[19]  Min-Yang Yang,et al.  Mesh-based tool path generation for constant scallop-height machining , 2008 .

[20]  Jan Madsen,et al.  Resource Considerations during Parallel Scheduling of Large Control Flow Dominated Applications , 1995 .

[21]  Sang C. Park,et al.  A pair-wise offset algorithm for 2D point-sequence curve , 1999, Comput. Aided Des..

[22]  Hsi-Yung Feng,et al.  Machining Triangular Mesh Surfaces via Mesh Offset Based Tool Paths , 2008 .

[23]  Jiewu Lu,et al.  Tessellated Surface Machining , 2007 .

[24]  Tao Chen,et al.  A tool path generation strategy for three-axis ball-end milling of free-form surfaces , 2008 .

[25]  Tamal K. Dey,et al.  Tight cocone: a water-tight surface reconstructor , 2003, SM '03.

[26]  Sang C. Park,et al.  Tool path generation for a surface model with defects , 2010, Comput. Ind..

[27]  Les A. Piegl,et al.  Computing offsets of NURBS curves and surfaces , 1999, Comput. Aided Des..