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Orientadores: José Roberto de França Arruda, Philippe Herzog / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica / Made available in DSpace on 2018-08-16T06:12:24Z (GMT). No. of bitstreams: 1 Pasqual_AlexanderMattioli_D.pdf: 10340586 bytes, checksum: 74b86a8897be1f1c00e3c13b018e73bb (MD5) Previous issue date: 2010 / Resumo: O controle angular da radiação sonora pode ser obtido utilizando um arranjo compacto de alto-falantes independentemente programáveis operando na mesma faixa de frequência. Geralmente, os alto-falantes são dispostos sobre uma estrutura de formato esférico seguindo a geometria de um sólido de Platão a fim de se obter uma configuração altamente simétrica. Recentemente, protótipos de arranjos esféricos compactos de alto-falantes vêm sendo desenvolvidos e aplicados a medições em acústica de salas, performances de música eletroacústica e síntese de padrões de diretividade de fontes acústicas tais como instrumentos musicais. Contudo, muitos aspectos referentes a seu controle, projeto e comportamento eletromecânico, bem como à sua habilidade em proporcionar uma experiência sonora mais realista que sistemas de áudio convencionais, permanecem não esclarecidos. Este trabalho contempla a análise e síntese de campos sonoros através de um arranjo esférico compacto de alto-falantes e pretende contribuir para o esclarecimento de alguns aspectos supracitados. Propõe-se uma estratégia de controle baseada nos modos de radiação acústica do arranjo esférico, a qual apresenta várias vantagens sobre a estratégia usual fundada nos harmônicos esféricos. Uma análise teórica e experimental do comportamento eletromecânico de arranjos compactos de alto-falantes também é apresentada, na qual o acoplamento acústico entre os alto-falantes no interior da estrutura esférica é considerado. Além disso, os sinais ótimos dos alto-falantes correspondentes a um dado padrão de diretividade são calculados utilizando duas funções custo distintas, revelando que o realismo do padrão sintetizado pode ser significativamente ampliado desprezando-se a fase da diretividade alvo. Finalmente, os modelos teóricos propostos são validados por medições de impedância elétrica, velocidade dos diafragmas dos alto-falantes e padrões de diretividade / Abstract: Angular control of the sound radiation can be achieved by using a compact array of independently programmable loudspeakers operating at the same frequency range. The drivers are usually distributed over a sphere-like frame according to a Platonic solid geometry to obtain a highly symmetrical configuration. Prototypes of compact spherical loudspeaker arrays have been recently developed and applied in room acoustics measurements, electroacoustic music performance and synthesis of directivity patterns of acoustical sources such as musical instruments. However, many aspects concerning their control, design, electromechanical behavior and ability to provide a more realistic sound experience than conventional audio systems remain unclear. This work concerns the analysis and synthesis of sound fields by a compact spherical loudspeaker array and aims to contribute to clarifying some aspects mentioned above. A control strategy based on the acoustic radiation modes of the spherical array is proposed, which presents several advantages over the usual strategy based on the spherical harmonics. A theoretical and experimental analysis of the electromechanical behavior of compact loudspeaker arrays is also presented, in which the acoustic coupling between drivers inside the array frame is taken into account. In addition, optimumdriver signals corresponding to a given target directivity pattern are derived using two different cost functions, indicating that the realism of the synthesized pattern may be significantly increased by neglecting the phase of the target directivity pattern. Finally, the proposed theoretical models are validated through measurements of electrical impedance, loudspeaker diaphragm velocity and directivity patterns / Doutorado / Mecanica dos Sólidos e Projeto Mecanico / Doutor em Engenharia Mecânica

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<p dir="ltr">Acoustic holography is a powerful tool in the visualization of sound fields and sound sources. It provides engineers and researchers clear insights into sound fields as well as their sound sources. Some widely-used methods include Nearfield Acoustical Holography (NAH), Statistically Optimized Nearfield Acoustic Holography (SONAH) and the Equivalent Source Method (ESM). SONAH and ESM were developed specifically to tackle the intrinsic deficiency of the Fourier-based NAH which requires that the sound field fall to negligible levels at the edges of the measurement aperture, a requirement rarely met in practice. Besides the aforementioned methods, the Inverse Boundary Element Method (IBEM) can be used, given sufficient measurements and computational resources. As useful as they are in visualizing the sound field, none of these methods can provide direct guidance on potential design modifications of the observed structure in order to unequivocally reduce sound power radiation. Acoustic radiation mode analysis has previously been primarily associated with active noise control applications. Since the radiation modes radiate sound power independently, it is only necessary to modify the surface vibration patterns so that they do not couple well with the radiation modes in order to guarantee a reduction of the radiated sound power. Since the radiation modes are orthogonal and complete, they can be used as the basis functions through which the source surface vibration can be described. Therefore, an acoustic holography method based on the acoustic radiation modes will enable the sound power ranking of the modal components of the surface vibration pattern, and in turn, point out the component(s) which should be targeted in order to reduce the overall sound power. However, use of the acoustic radiation modes in the inverse procedure comes with a price: the detailed geometry of the object to be measured must be obtained, thus enabling the calculation of acoustic radiation modes and the modal pressures. But this is not an issue for original equipment manufacturers given that almost all prototypes are now designed with CAD, as is the case with the engine example to be described next.</p><p dir="ltr">In modern engine design, downsizing and reducing weight while still providing an increased amount of power has been a general trend in recent decades. Traditionally, an engine design with superior NVH performance usually comes with a heavier, thus sturdier structure. Therefore, modern engine design requires that NVH be considered in the very early design stage to avoid modifications of engine structures at the last minute, when very few changes can be made. NVH design optimization of engine components has become more practical due to the development of computer software and hardware. However, there is still a need for smarter algorithms to draw a direct relationship between the design and the radiated sound power. At the moment, techniques based on modal acoustic transfer vectors (MATVs) have gained popularity in design optimization for their good performance in sound pressure prediction. Since MATVs are derived based on structural modes, they are not independent with respect to radiated sound power. In contrast, as noted, acoustic radiation modes are an orthogonal set of velocity distributions on the structure’s surface that contribute to the radiated sound power independently. As a result, it is beneficial to describe structural vibration in terms of acoustic radiation modes in order to identify the velocity distributions that contribute the majority of the radiated sound power. Measures can then be taken to modify the identified vibration patterns to reduce their magnitudes, which will in turn result in an unequivocal reduction of the radiated sound power. A workflow of the structural optimization procedure is proposed in this dissertation.</p><p dir="ltr">While acoustic radiation modes have great efficiencies in describing radiated acoustic power, the computation of acoustic radiation modes can be time consuming. In the last chapter of this thesis, a novel way of calculating acoustic radiation modes is proposed, which differs from the traditional singular value decomposition of the power radiation resistance matrix, and which is more efficient than previously proposed procedures. </p><p><br></p>

This thesis addresses a number of problems in computer vision, image processing, and geometry processing, and presents novel solutions to these problems. The overarching theme of the techniques presented here is a multi-scale approach, leveraging mathematical tools to represent images and surfaces at different scales, and methods that can be adapted from one type of domain (eg., the plane) to another (eg., the sphere). The main problem addressed in this thesis is known as stereo reconstruction: reconstructing the geometry of a scene or object from two or more images of that scene. We develop novel algorithms to do this, which work for both planar and spherical images. By developing a novel way to formulate the notion of disparity for spherical images, we are able effectively adapt our algorithms from planar to spherical images. Our stereo reconstruction algorithm is based on a novel application of distance transforms to multi-scale matching. We use matching information aggregated over multiple scales, and enforce consistency between these scales using distance transforms. We then show how multiple spherical disparity maps can be efficiently and robustly fused using visibility and other geometric constraints. We then show how the reconstructed point clouds can be used to synthesize a realistic sequence of novel views, images from points of view not captured in the input images, in real-time. Along the way to this result, we address some related problems. For example, multi-scale features can be detected in spherical images by convolving those images with a filterbank, generating an overcomplete spherical wavelet representation of the image from which the multiscale features can be extracted. Convolution of spherical images is much more efficient in the spherical harmonic domain than in the spatial domain. Thus, we develop a GPU implementation for fast spherical harmonic transforms and frequency domain convolutions of spherical images. This tool can also be used to detect multi-scale features on geometric surfaces. When we have a point cloud of a surface of a particular class of object, whether generated by stereo reconstruction or by some other modality, we can use statistics and machine learning to more robustly estimate the surface. If we have at our disposal a database of surfaces of a particular type of object, such as the human face, we can compute statistics over this database to constrain the possible shape a new surface of this type can take. We show how a statistical spherical wavelet shape prior can be used to efficiently and robustly reconstruct a face shape from noisy point cloud data, including stereo data.