Iso-planar interpolation for the machining of implicit surfaces

The paper presents an approach for on-line path generation and interpolation for the machining of implicit surfaces. For a given implicit surface, once the cutting plane direction and cut-in points have been selected, iso-planar tool paths and interpolated points can be calculated on-line according to the feedrate and scallop height requirements. The approach enables the tool position and orientation to be correctly calculated at each interpolated point. Validation examples are provided for the interpolation of cyclide surfaces with planar and curved boundaries.

[1]  Hon-Yuen Tam.  Toward the uniform coverage of surfaces by scanning curves , 1999, Comput. Aided Des..

[2]  Fu-Chung Wang,et al.  Open Architecture Controllers for Machine Tools, Part 2: A Real Time Quintic Spline Interpolator , 1998 .

[3]  Thomas W. Sederberg,et al.  Techniques for cubic algebraic surfaces , 1990, IEEE Computer Graphics and Applications.

[4]  Shigeru Muraki,et al.  Volumetric shape description of range data using “Blobby Model” , 1991, SIGGRAPH.

[5]  James H. Oliver,et al.  Non-constant parameter NC tool path generation on sculptured surfaces , 1994 .

[6]  Yoram Koren,et al.  Control of Machine Tools , 1997 .

[7]  Brian Wyvill,et al.  Introduction to Implicit Surfaces , 1997 .

[8]  R. Bryan Greenway,et al.  Development and implementation of a NURBS curve motion interpolator , 1998 .

[9]  Chih-Ching Lo,et al.  Real-time generation and control of cutter path for 5-axis CNC machining , 1999 .

[10]  Joe D. Warren,et al.  Blending algebraic surfaces , 1989, TOGS.

[11]  Moshe Shpitalni,et al.  Realtime curve interpolators , 1994, Comput. Aided Des..

[12]  Yoram Koren,et al.  Five-axis surface interpolators , 1995 .

[13]  Y. Srinivas,et al.  Cyclides in Geometric Modeling: Computational Tools for an Algorithmic Infrastructure , 1995 .

[14]  Insung Ihm,et al.  Algebraic surface design with Hermite interpolation , 1992, TOGS.

[15]  Rida T. Farouki,et al.  Contour machining of free-form surfaces with real-time PH curve CNC interpolators , 1999, Comput. Aided Geom. Des..

[16]  Thomas W. Sederberg.  Surfaces-techniques for cubic algebraic surfaces , 1990, IEEE Computer Graphics and Applications.