Parallel architecture for conversion of NURBS curves to Beˊzier curves

Mallon, P.N.; Bóo, Montserrat; Bruguera, J.D.

doi:10.1109/eurmic.2000.874649

Cited by 2 publications

(1 citation statement)

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“…For instance, P N Mallon, M Boo and J D Bruguera once tried a converter of NURBS curves to Bézier curves [1,2] ; H T Yau and J W Guo also used FPGA respectively to implement their NURBS interpolators for real-time CNC systems [3,4] .…”

Section: Introductionmentioning

confidence: 99%

A rapid and precise interpolator for CNC smooth curve interpolation

Wang

Chen

Zeng

2009

2009 IEEE 10th International Conference on Computer-Aided Industrial Design &Amp; Conceptual Design

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Rapid and precise interpolation of curves has been a key issue in development of computer numerical control(CNC) systems. With the development of firmware, it is a new attempt to perform the interpolation by means of firmware. This paper presents a method to develop a rapid and precise interpolator that can produce a smooth interpolating curve. An algorithm is first shown to construct a smooth interpolating curve and a way is put forward to calculate the constructed curve with firmware; then details are introduced to design and implement the firmware units that perform rapid and precise calculations. Factors related with the computational process control and precision control are also investigated and made clear in the paper.

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Section: Introductionmentioning

confidence: 99%

A rapid and precise interpolator for CNC smooth curve interpolation

Wang

Chen

Zeng

2009

2009 IEEE 10th International Conference on Computer-Aided Industrial Design &Amp; Conceptual Design

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Parts Localization Oriented Practical Method for Point Projection on Model Surfaces Based on Subdivision

Hou

2014

Computer-Aided Design and Applications

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Given a set of axis-aligned rectangles in the plane, this paper presents an algorithm for the removal of rectangle containment as well as rectangle enclosures. That is, given a query rectangle R q , this algorithm removes all rectangles R k , . . . , R l from the rectangle set that are contained in R q . It also removes R q if there is a rectangle R j that encloses R q . The algorithm, initially implemented for rectangle spline generation using rectangles as building blocks, is fast, easy to implement and maintain, it can be run on parallel machines such as GPUs at no extra cost, but it requires extra memory to store the rectangle indexes for quick access and space partitioning.

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Parallel architecture for conversion of NURBS curves to Beˊzier curves

Cited by 2 publications

References 9 publications

A rapid and precise interpolator for CNC smooth curve interpolation

A rapid and precise interpolator for CNC smooth curve interpolation

Parts Localization Oriented Practical Method for Point Projection on Model Surfaces Based on Subdivision

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