Spherical Sampling

Spherical Sampling PDF Author: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319714589
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book presents, in a consistent and unified overview, results and developments in the field of today ́s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Spherical Sampling

Spherical Sampling PDF Author: Willi Freeden
Publisher: Birkhäuser
ISBN: 3319714589
Category : Mathematics
Languages : en
Pages : 591

Get Book Here

Book Description
This book presents, in a consistent and unified overview, results and developments in the field of today ́s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Fundamentals of Spherical Array Processing

Fundamentals of Spherical Array Processing PDF Author: Boaz Rafaely
Publisher: Springer
ISBN: 3319995618
Category : Technology & Engineering
Languages : en
Pages : 201

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Book Description
This book provides a comprehensive introduction to the theory and practice of spherical microphone arrays, and was written for graduate students, researchers and engineers who work with spherical microphone arrays in a wide range of applications. The new edition includes additions and modifications, and references supplementary Matlab code to provide the reader with a straightforward start for own implementations. The book is also accompanied by a Matlab manual, which explains how to implement the examples and simulations presented in the book. The first two chapters provide the reader with the necessary mathematical and physical background, including an introduction to the spherical Fourier transform and the formulation of plane-wave sound fields in the spherical harmonic domain. In turn, the third chapter covers the theory of spatial sampling, employed when selecting the positions of microphones to sample sound pressure functions in space. Subsequent chapters highlight various spherical array configurations, including the popular rigid-sphere-based configuration. Beamforming (spatial filtering) in the spherical harmonics domain, including axis-symmetric beamforming, and the performance measures of directivity index and white noise gain are introduced, and a range of optimal beamformers for spherical arrays, including those that achieve maximum directivity and maximum robustness are developed, along with the Dolph–Chebyshev beamformer. The final chapter discusses more advanced beamformers, such as MVDR (minimum variance distortionless response) and LCMV (linearly constrained minimum variance) types, which are tailored to the measured sound field. Mathworks kindly distributes the Matlab sources for this book on https://www.mathworks.com/matlabcentral/fileexchange/68655-fundamentals-of-spherical-array-processing.

Spherical Techniques and Their Applications in a Scene Graph System: Collision Detection and Occlusion Culling

Spherical Techniques and Their Applications in a Scene Graph System: Collision Detection and Occlusion Culling PDF Author: Christoph Fünfzig
Publisher: Cuvillier Verlag
ISBN: 3867271119
Category :
Languages : en
Pages : 168

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Book Description


Physically Based Rendering, fourth edition

Physically Based Rendering, fourth edition PDF Author: Matt Pharr
Publisher: MIT Press
ISBN: 0262048027
Category : Computers
Languages : en
Pages : 1274

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Book Description
A comprehensive update of the leading-edge computer graphics textbook that sets the standard for physically-based rendering in the industry and the field, with new material on GPU ray tracing. Photorealistic computer graphics are ubiquitous in today’s world, widely used in movies and video games as well as product design and architecture. Physically-based approaches to rendering, where an accurate modeling of the physics of light scattering is at the heart of image synthesis, offer both visual realism and predictability. Now in a comprehensively updated new edition, this best-selling computer graphics textbook sets the standard for physically-based rendering in the industry and the field. Physically Based Rendering describes both the mathematical theory behind a modern photorealistic rendering system as well as its practical implementation. A method known as literate programming combines human-readable documentation and source code into a single reference that is specifically designed to aid comprehension. The book’s leading-edge algorithms, software, and ideas—including new material on GPU ray tracing—equip the reader to design and employ a full-featured rendering system capable of creating stunning imagery. This essential text represents the future of real-time graphics. Detailed and rigorous but accessible approach guides readers all the way from theory to practical software implementation Fourth edition features new chapter on GPU ray tracing essential for game developers The premier reference for professionals learning about and working in the field Won its authors a 2014 Academy Award for Scientific and Technical Achievement Includes a companion site complete with source code

Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition

Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition PDF Author: Heinz Teutsch
Publisher: Springer Science & Business Media
ISBN: 3540408932
Category : Technology & Engineering
Languages : en
Pages : 267

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Book Description
This book deals with the problem of detecting and localizing multiple simultaneously active wideband acoustic sources by applying the notion of wavefield decomposition using circular and spherical microphone arrays. A rigorous derivation of modal array signal processing algorithms for unambiguous source detection and localization, as well as performance evaluations by means of measurements using an actual real-time capable implementation, are discussed.

Physically Based Rendering

Physically Based Rendering PDF Author: Matt Pharr
Publisher: Morgan Kaufmann
ISBN: 0123750792
Category : Computers
Languages : en
Pages : 1201

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Book Description
This updated edition describes both the mathematical theory behind a modern photorealistic rendering system as well as its practical implementation. Through the ideas and software in this book, designers will learn to design and employ a full-featured rendering system for creating stunning imagery. Includes a companion site complete with source code for the rendering system described in the book, with support for Windows, OS X, and Linux.

Computer Vision - ACCV 2012 Workshops

Computer Vision - ACCV 2012 Workshops PDF Author: Jong-Il Park
Publisher: Springer
ISBN: 3642374107
Category : Computers
Languages : en
Pages : 366

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Book Description
The two volume set, consisting of LNCS 7728 and 7729, contains the carefully reviewed and selected papers presented at the nine workshops that were held in conjunction with the 11th Asian Conference on Computer Vision, ACCV 2012, in Daejeon, South Korea, in November 2012. From a total of 310 papers submitted, 78 were selected for presentation. LNCS 7728 contains the papers selected for the International Workshop on Computer Vision with Local Binary Pattern Variants, the Workshop on Computational Photography and Low-Level Vision, the Workshop on Developer-Centered Computer Vision, and the Workshop on Background Models Challenge. LNCS 7729 contains the papers selected for the Workshop on e-Heritage, the Workshop on Color Depth Fusion in Computer Vision, the Workshop on Face Analysis, the Workshop on Detection and Tracking in Challenging Environments, and the International Workshop on Intelligent Mobile Vision.

Computational Diffusion MRI

Computational Diffusion MRI PDF Author: Andrea Fuster
Publisher: Springer
ISBN: 3319285882
Category : Mathematics
Languages : en
Pages : 236

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Book Description
These Proceedings of the 2015 MICCAI Workshop “Computational Diffusion MRI” offer a snapshot of the current state of the art on a broad range of topics within the highly active and growing field of diffusion MRI. The topics vary from fundamental theoretical work on mathematical modeling, to the development and evaluation of robust algorithms, new computational methods applied to diffusion magnetic resonance imaging data, and applications in neuroscientific studies and clinical practice. Over the last decade interest in diffusion MRI has exploded. The technique provides unique insights into the microstructure of living tissue and enables in-vivo connectivity mapping of the brain. Computational techniques are key to the continued success and development of diffusion MRI and to its widespread transfer into clinical practice. New processing methods are essential for addressing issues at each stage of the diffusion MRI pipeline: acquisition, reconstruction, modeling and model fitting, image processing, fiber tracking, connectivity mapping, visualization, group studies and inference. This volume, which includes both careful mathematical derivations and a wealth of rich, full-color visualizations and biologically or clinically relevant results, offers a valuable starting point for anyone interested in learning about computational diffusion MRI and mathematical methods for mapping brain connectivity, as well as new perspectives and insights on current research challenges for those currently working in the field. It will be of interest to researchers and practitioners in the fields of computer science, MR physics, and applied mathematics.​

Spherical Functions of Mathematical Geosciences

Spherical Functions of Mathematical Geosciences PDF Author: Willi Freeden
Publisher: Springer Nature
ISBN: 3662656922
Category : Earth sciences
Languages : en
Pages : 729

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Book Description
This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.

Directivity Patterns for Room Acoustical Measurements and Simulations

Directivity Patterns for Room Acoustical Measurements and Simulations PDF Author: Martin Pollow
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832540903
Category : Technology & Engineering
Languages : en
Pages : 192

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Book Description
The acoustics of rooms can be objectively described by the room impulse responses obtained for given transfer paths using measurement or simulation. In practice, the directionally dependent behavior of sources and receivers is often disregarded and thus assumed to be of omnidirectional type. In reality, however, these sources and receivers have specific directivity patterns, which are reported to induce audible differences. In this work a methodology to capture, analyze and process directivity patterns of sources and receivers is described. With the help of surrounding spherical microphone and loudspeaker arrays these directivity patterns are measured to be used in room acoustic applications. Room impulse responses with respect to specific directivity patterns can be realized using compact loudspeaker arrays with known directivity. Applying the results of directivity superposition to the set of measured room impulse responses, the acoustics for specific directivity patterns are found. Using a simulation of the room instead, source and receiver directivity patterns can be included in both wave based and particle based methods. The results of this work facilitate more authentic descriptions of room acoustics for specific source and receiver directivity patterns.