Sculptured Surface Machining

Choi, Byoung Kyu; Kim, Bo Hyoung; Jerard, Robert B.

doi:10.1007/978-1-4615-5283-3

Cited by 194 publications

(52 citation statements)

References 16 publications

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“…Milling simulation method based on the Z-map representation of the workpiece is most commonly used in practice because of its implementation easiness and reliability (see Fig. 1) [8]. In this method, the workpiece shape is approximated as a collection of segments being vertical to the xy-plane.…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Two Methods for Geometric Milling Simulation Accelerated by GPU

Inui

Umezu

Shinozuka

2013

Transactions of ISCIE

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For detecting potential problems of a cutter path, cutting force simulation in the NC milling process is necessary prior to actual machining. A milling operation is geometrically equivalent to a Boolean subtraction of the swept volume of a cutter moving along a path from a solid model representing the stock shape. In order to precisely estimate the cutting force, the subtraction operation must be executed for every small motion of the cutter. By using GPU, the required time for the subtraction can be drastically reduced. In this paper, the computation speed of two known GPU accelerated geometric milling simulation methods, which are the depth buffer based method and the parallel processing based method with CUDA language, are compared. Computational experiments show that the implementation with CUDA is several times faster than the depth buffer based method when the cutter motion in the simulation process is sufficiently small.

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Section: Introductionmentioning

confidence: 99%

A Comparison of Two Methods for Geometric Milling Simulation Accelerated by GPU

Inui

Umezu

Shinozuka

2013

Transactions of ISCIE

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“…In fact, they become the standard for computer representation, design and data exchange of geometric information in the automotive, aerospace and ship-building industries [1]. In addition, they are very intuitive, easy to modify and manipulate -thus allowing the designers to modify the shape interactively.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, they are very intuitive, easy to modify and manipulate -thus allowing the designers to modify the shape interactively. Moreover, the algorithms involved are quite fast and numerically stable and, therefore, well suited for real-time applications in a variety of fields, such as CAD/CAM [1,7], computer graphics and animation, geometric processing [5], artificial intelligence [2,3] and many others.…”

Section: Introductionmentioning

confidence: 99%

Symbolic Manipulation of Bspline Basis Functions with Mathematica

Iglesias

Ipanaqué

Urbina

2007

Computational Science – ICCS 2007

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Abstract. Bspline curves and surfaces are the most common and most important geometric entities in many fields, such as computer design and manufacturing (CAD/CAM) and computer graphics. However, up to our knowledge no computer algebra package includes especialized symbolic routines for dealing with Bsplines so far. In this paper, we describe a new Mathematica program to compute the Bspline basis functions symbolically. The performance of the code along with the description of the main commands are discussed by using some illustrative examples.

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“…Kim et al [15] discussed the application of a Z-map to the prediction of 3-axis ball-end milling forces, relying heavily on the simple geometry of the sphere and linear movements. Although Z-buffer algorithms have been implemented for ball, at and round-end mill cutters [16], different procedures for calculating the chip geometry are necessary for each method.…”

Section: Introductionmentioning

confidence: 99%