TY - JOUR

T1 - CNC tool path in terms of B-spline curves

AU - Lartigue, C.

AU - Thiebaut, F.

AU - Maekawa, T.

N1 - Funding Information:
This work was initiated while the first two authors were visiting MIT Department of Ocean Engineering Design Laboratory. This work was funded in part in the USA by the US Navy NAVSEA (NA16RG0093-01) and in France by La Conférence des Grandes Ecoles.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2001/4/2

Y1 - 2001/4/2

N2 - We present an accurate and efficient method to generate a CNC tool path for a smooth free-form surface in terms of planar cubic B-spline curves which will be fed into a free-form curve interpolator. We assume the use of a three-axis CNC machine tool with a ball end-mill cutter. We first interpolate break points, which are generated by computing the offset surface-driving plane intersection curve reflecting the curvature, by a planar cubic B-spline curve. We then evaluate the maximum scallop height along a scallop curve by computing the stationary points of the distance function between the scallop curve and the design surface. Furthermore, we compute the maximum pick feed such that the maximum scallop height along a scallop curve coincides with the prescribed tolerance. Illustrative examples show the substantial improvements this method achieves over conventional methods where the tool path consists of linear or circular paths.

AB - We present an accurate and efficient method to generate a CNC tool path for a smooth free-form surface in terms of planar cubic B-spline curves which will be fed into a free-form curve interpolator. We assume the use of a three-axis CNC machine tool with a ball end-mill cutter. We first interpolate break points, which are generated by computing the offset surface-driving plane intersection curve reflecting the curvature, by a planar cubic B-spline curve. We then evaluate the maximum scallop height along a scallop curve by computing the stationary points of the distance function between the scallop curve and the design surface. Furthermore, we compute the maximum pick feed such that the maximum scallop height along a scallop curve coincides with the prescribed tolerance. Illustrative examples show the substantial improvements this method achieves over conventional methods where the tool path consists of linear or circular paths.

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U2 - 10.1016/S0010-4485(00)00090-7

DO - 10.1016/S0010-4485(00)00090-7

M3 - Article

AN - SCOPUS:0035313675

VL - 33

SP - 307

EP - 319

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

SN - 0010-4485

IS - 4

ER -