The Research of the NURBS Curve Interpolation Algorithm

Zhang, Wen Jie

doi:10.4028/www.scientific.net/aef.2-3.614

Cited by 2 publications

(3 citation statements)

References 5 publications

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“…Galaxies 2020, 8, x FOR PEER REVIEW 4 of 24 spectrograms requires a uniform time step between samples, the already smoothed radio data were interpolated with a B-spline [8] since it practically does not give false splashes and distortions at the break points of the data series.…”

Section: Radio Observationsmentioning

confidence: 99%

“…To construct the time-frequency spectrograms, a windowed Fourier transform was used [7]. Since the calculation of spectrograms requires a uniform time step between samples, the already smoothed radio data were interpolated with a B-spline [8] since it practically does not give false splashes and distortions at the break points of the data series.…”

Section: Introductionmentioning

confidence: 99%

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Program and Results of Investigations Rapid Variability of the BL Lac Object 3C 371 in Radio and Optical Ranges

et al. 2020

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BL Lac object 3C 371 is variable in optical and radio range, according to long-term monitoring data, for example AAVSO (American Association of Variable Star Observers) and OVRO (Owens Valley Radio Observatory). In addition, some authors note intra-night variability. However, in terms of access, just a few works are devoted to this topic, and questions remain about intra-day variability in radio range. The purpose of the work is to search for fast variability in radio (5, 6.1, 6.7 GHz) and optical bands (V, R, I) using international cooperation in 2019 and 2020 observation sessions. The 16-m radio telescope VIRAC, in Latvia, as well as optical telescopes AZT-3 (Mayaki, Ukraine), VNT (Vihorlat, Slovakia), and Schmidt camera (Baldone, Latvia) were used. To analyze variability, the STFT method of spectrograms and Lomb–Scargle periodograms for non-uniform time series were used. As result of the work, there is no correlation between optical and radio observations, and no significant quasi-harmonic variability was detected in radio range, but there is irregular low amplitude variability. In the optical range, there is variability with a characteristic time of about seven days and possibly less. Cyclical variability of 3C 371 was found in the optical range, and intra-day variability in radio range is most likely absent, as there are irregular variations and noise. It is planned to continue joint radio-optical observations 3C 371 to accumulate the necessary statistics.

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Section: Radio Observationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Program and Results of Investigations Rapid Variability of the BL Lac Object 3C 371 in Radio and Optical Ranges

et al. 2020

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“…In recent years, spline interpolation [4][5][6][7] has become the research hotspot in the field of CNC interpolation. In refs.…”

Section: Introductionmentioning

confidence: 99%

High speed interpolation for micro-line trajectory and adaptive real-time look-ahead scheme in CNC machining

Zhang

Sun

Gao

et al. 2011

Sci. China Technol. Sci.

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CNC machining plays an important role in mechanical manufacturing. A key issue is to improve the machining feedrate while keeping the machining precision and satisfying the acceleration constraints of the CNC machine. For the consecutive micro-line segments interpolation, the velocities at the junction of two segments are the bottlenecks for the machining efficiency. This paper proposes a multi-period turning method to improve the feedrate at the junctions using the linear acceleration and deceleration mode, which utilizes the maximal acceleration capabilities of the NC machine while satisfying the machining precision. A new and more efficient look-ahead method and a feedrate override method are also proposed to boast the global machining speed. The proposed algorithm has been implemented on Blue Sky NC System, and experimented in real material manufacturing. Compared with several existing algorithms, the current algorithm can improve the manufacturing time ranging from 50% to 180%, depending on the machining parameters, and also results in better machining quality. In addition, the algorithm also satisfies the need of real-time interpolation.CNC, micro-line segment, multi-period turning, look-ahead scheme, real-time interpolation, feedrate override Citation:Zhang L X, Sun R Y, Gao X S, et al. High speed interpolation for micro-line trajectory and adaptive real-time look-ahead scheme in CNC machining.

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The Research of the NURBS Curve Interpolation Algorithm

Cited by 2 publications

References 5 publications

Program and Results of Investigations Rapid Variability of the BL Lac Object 3C 371 in Radio and Optical Ranges

Program and Results of Investigations Rapid Variability of the BL Lac Object 3C 371 in Radio and Optical Ranges

High speed interpolation for micro-line trajectory and adaptive real-time look-ahead scheme in CNC machining

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