Design and implementation of an improved wavelet model for processing sound production images in vocal music
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Design and implementation of an improved wavelet model for processing sound production images in vocal music Jie He 1 Received: 26 April 2020 / Revised: 29 July 2020 / Accepted: 10 November 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
This paper aims to acquire the crack information from the sound production images in vocal music in an accurate and comprehensive manner. Firstly, the image processing technology based on partial differential equations was introduced, and the principle of wavelet model was expounded. Considering the defects of the wavelet model, an improved wavelet model was constructed based on image enhancement function. The improved model was applied to process the sound production images in vocal music, which contain single crack or multiple cracks, respectively, producing high-quality binary images on the cracks of sound production in vocal music. The binary images were quantified to obtain the characteristic parameters of the sound source in vocal music, laying the basis for further research into sound production in vocal music. To verify its effectiveness, the improved wavelet model was compared with the traditional wavelet model through simulation experiment. The results show that the improved wavelet model achieved better image segmentation effect and quantified the microstructure of the sound source more accurately than the traditional wavelet model. Finally, the authors proved that the proposed model can be used to compute the coefficients of sound production with cracks and the damage variables of microstructure. Keywords Improved wavelet model . Sound production images . Vocal music . Image segmentation
1 Introduction In vocal music, stress response occurs inside the sound source during sound production, causing stress concentration or pressure relief in local areas. The ensuing strain
* Jie He [email protected]
1
Music Department, Taiyuan Normal University, Jinzhong 030619, China
Multimedia Tools and Applications
localization makes the sound production instable. The instability of the sound source varies with the stress states and stress levels. The stress-strain state of the sound source under external force depends on its material composition and the original physicalmechanical structure, which in turn controls the macroscopic mechanical response and failure mechanism. In return, the cracks induced by sound instability acts on the internal stress-strain state, resulting in the deflection of local principal stress. In this way, the local load on the sound source is alleviated or increased. On the microscale failure of sound production, the relevant studies have focused on the initiation, expansion, and penetration of cracks, as well as their direction, size and nature. These factors provide important guidance and basis for preventing and controlling the instability of sound production. Digital image processing offers an effective means to measure and quantify the spatial structure of sound source in vocal music on the microscale, and open
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