Second Binormal Motions of Inextensible Curves in 4-dimensional Galilean Space

Korkmaz, Fatma Bulut; Bektaandş, Mehmet

doi:10.2478/amns.2020.1.00022

Cited by 3 publications

(1 citation statement)

References 15 publications

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“…, because the accuracy of recognizing the basic frequency differential model in an enhanced algorithm is higher than in the original algorithm. In addition, the AET of the improved algorithm is reduced by approximately 0.12 seconds compared to the original algorithm, which ensures that the process calculation and complexity of the frequency function function of the improved algorithm is lower than that of the original algorithm melody of music [15].…”

Section: Music Theme Extraction Experimentsmentioning

confidence: 99%

Automatic extraction and discrimination of vocal main melody based on quadratic wave equation

Yue

2022

Applied Mathematics and Nonlinear Sciences

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An algorithm is proposed to derive the quadratic wave equation and to generate a musical theme based on the basic frequency differentiation of singing. The algorithm can effectively reduce the false alarm speed of the melody localization and improve the overall accuracy. The Metric Distance (DIS) algorithm uses the dispersion method to segment musical notes and to detect vocal parts; The amplitude compression frequency filter (PEFAC) uses multi-frequency frequency separation technology. vocal range by calculating the melody. Basic frequency of multiple candidates. Finally, the Viterbi algorithm is used to control the predominant basic frequency trajectory of the vocal segment and is used to distinguish the basic melody of the basic frequency differentiation model. Tests on the MIR-1K data set show that all performance parameters of the improved algorithm are higher than the original algorithm, tone localization call speed (VRR), initial sound frequency accuracy (RPA), and initial color accuracy level (RCA). ) and the Total Accuracy Level (OA) improved by different signal and interference conditions, while the pseudo-localization (VFAR) decreased by about 2%, indicating that the improved algorithm could more accurately identify the accompaniment and vocals. This is because the accuracy of recognizing the basic frequency discrimination model in an improved algorithm is higher than in the original algorithm. In addition, the AET of the improved algorithm is reduced by approximately 0.12 seconds compared to the original algorithm, which ensures that the process calculation and complexity of the frequency function function of the improved algorithm is lower than that of the original algorithm. The octave error detection, the false localization signal is much lower than other algorithms, and the overall accuracy level is higher than other algorithms, which can effectively produce the basic melody of the song.

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Section: Music Theme Extraction Experimentsmentioning

confidence: 99%

Automatic extraction and discrimination of vocal main melody based on quadratic wave equation

Yue

2022

Applied Mathematics and Nonlinear Sciences

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Stereo Vision Information System Using Median Theorem and Attitude Compensation With Nonlinear Differential Equations

Zhang

Yin

et al. 2022

Fractals

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Using computer vision technology to obtain and analyze biomechanical information is an important research direction in recent years. However, the linear model in the computer vision system cannot accurately describe the geometric relationship of the camera imaging, so it is difficult to realize human posture recognition in high-precision mechanics information. Therefore, how to improve the recognition accuracy is very important. In this paper, we apply nonlinear differential equations to stereo computer vision (SCV) information systems. And based on the median theorem, a nonlinear posture recognition and error compensation algorithm based on BP neural network is proposed to reduce the recognition error. The test set uses the Leeds Motion Pose (LSP) dataset to verify the performance of the algorithm. Experimental results show that the compensated median filter of BP neural network can eliminate glitches in attitude data. Superimposing the output attitude error compensation value with the attitude estimation value can greatly reduce the root-mean-square error of the attitude angle. The result of gesture recognition is closer to reality. Compared with traditional algorithms, the cyclomatic complexity of the proposed BP neural network algorithm has a much lower growth rate in high-order calculations, which indicates that the proposed BP neural network algorithm is more concise and scalable.

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Restoration method of ancient mural image defect information based on neighborhood filtering

Li¹

2021

JCM

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The local data of ancient murals is seriously damaged, and image noise exists in the process of restoration, which affects the quality of restoration of ancient murals. Therefore, this paper studies the restoration method of ancient mural image defect information based on neighborhood filtering. On the premise of obtaining the causes of ancient mural defects, this method enhances image data based on spatial domain enhancement method, extracts pixel similar information based on neighborhood filtering, searches in the whole image, and removes image noise used to repair local areas; By extracting the line drawing features of mural, the defect part of ancient mural image can be repaired. The experimental results show that the peak signal-to-noise ratio of the repaired image is the highest and the quality of the image is better under the application of the repair method.

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Second Binormal Motions of Inextensible Curves in 4-dimensional Galilean Space

Abstract: In our study, we give the associated evolution equations for curvature and torsion as a system of partial differential equations. In addition, we study second binormal motions of inextensible curves in 4-dimensional Galilean space.

Cited by 3 publications

References 15 publications

Automatic extraction and discrimination of vocal main melody based on quadratic wave equation

Automatic extraction and discrimination of vocal main melody based on quadratic wave equation

Stereo Vision Information System Using Median Theorem and Attitude Compensation With Nonlinear Differential Equations

Restoration method of ancient mural image defect information based on neighborhood filtering

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