An Introduction To Laplacian Spectral Distances And Kernels

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An Introduction to Laplacian Spectral Distances and Kernels

Author : Giuseppe Patanè
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681731401
Total Pages : 141 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis An Introduction to Laplacian Spectral Distances and Kernels by : Giuseppe Patanè

Download or read book An Introduction to Laplacian Spectral Distances and Kernels written by Giuseppe Patanè and published by Morgan & Claypool Publishers. This book was released on 2017-07-05 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.

An Introduction to Laplacian Spectral Distances and Kernels

Author : Giuseppe Patanè
Publisher : Springer Nature
ISBN 13 : 3031025938
Total Pages : 120 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Introduction to Laplacian Spectral Distances and Kernels by : Giuseppe Patanè

Download or read book An Introduction to Laplacian Spectral Distances and Kernels written by Giuseppe Patanè and published by Springer Nature. This book was released on 2022-05-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.

Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2

Author :
Publisher : Elsevier
ISBN 13 : 0444641416
Total Pages : 706 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 by :

Download or read book Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 written by and published by Elsevier. This book was released on 2019-10-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more. Covers contemporary developments relating to the analysis and learning of images, shapes and forms Presents mathematical models and quick computational techniques relating to the topic Provides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods

Processing, Analyzing and Learning of Images, Shapes, and Forms:

Author : Xue-Cheng Tai
Publisher : North Holland
ISBN 13 : 0444641408
Total Pages : 704 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Processing, Analyzing and Learning of Images, Shapes, and Forms: by : Xue-Cheng Tai

Download or read book Processing, Analyzing and Learning of Images, Shapes, and Forms: written by Xue-Cheng Tai and published by North Holland. This book was released on 2019-10 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2, Volume 20, surveys the contemporary developments relating to the analysis and learning of images, shapes and forms, covering mathematical models and quick computational techniques. Chapter cover Alternating Diffusion: A Geometric Approach for Sensor Fusion, Generating Structured TV-based Priors and Associated Primal-dual Methods, Graph-based Optimization Approaches for Machine Learning, Uncertainty Quantification and Networks, Extrinsic Shape Analysis from Boundary Representations, Efficient Numerical Methods for Gradient Flows and Phase-field Models, Recent Advances in Denoising of Manifold-Valued Images, Optimal Registration of Images, Surfaces and Shapes, and much more. Covers contemporary developments relating to the analysis and learning of images, shapes and forms Presents mathematical models and quick computational techniques relating to the topic Provides broad coverage, with sample chapters presenting content on Alternating Diffusion and Generating Structured TV-based Priors and Associated Primal-dual Methods

GPU Ray Tracing in Non-Euclidean Spaces

Author : Tiago Novello
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1636393276
Total Pages : 129 pages
Book Rating : 4.6/5 (363 download)

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Book Synopsis GPU Ray Tracing in Non-Euclidean Spaces by : Tiago Novello

Download or read book GPU Ray Tracing in Non-Euclidean Spaces written by Tiago Novello and published by Morgan & Claypool Publishers. This book was released on 2022-03-21 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the visualization of three-dimensional non-Euclidean spaces using raytracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.

Sound Synthesis, Propagation, and Rendering

Author : Liu Shiguang
Publisher : Springer Nature
ISBN 13 : 3031792149
Total Pages : 96 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Sound Synthesis, Propagation, and Rendering by : Liu Shiguang

Download or read book Sound Synthesis, Propagation, and Rendering written by Liu Shiguang and published by Springer Nature. This book was released on 2022-05-31 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a broad overview of research on sound simulation driven by a variety of applications. Vibrating objects produce sound, which then propagates through a medium such as air or water before finally being heard by a listener. As a crucial sensory channel, sound plays a vital role in many applications. There is a well-established research community in acoustics that has studied the problems related to sound simulation for six decades. Some of the earliest work was motivated by the design of concert halls, theaters, or lecture rooms with good acoustic characteristics. These problems also have been investigated in other applications, including noise control and sound design for urban planning, building construction, and automotive applications. Moreover, plausible or realistic sound effects can improve the sense of presence in a virtual environment or a game. In these applications, sound can provide important clues such as source directionality and spatial size. The book first surveys various sound synthesis methods, including harmonic synthesis, texture synthesis, spectral analysis, and physics-based synthesis. Next, it provides an overview of sound propagation techniques, including wave-based methods, geometric-based methods, and hybrid methods. The book also summarizes various techniques for sound rendering. Finally, it surveys some recent trends, including the use of machine learning methods to accelerate sound simulation and the use of sound simulation techniques for other applications such as speech recognition, source localization, and computer-aided design.

Cloth Simulation for Computer Graphics

Author : Tuur Stuyck
Publisher : Springer Nature
ISBN 13 : 3031025970
Total Pages : 110 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cloth Simulation for Computer Graphics by : Tuur Stuyck

Download or read book Cloth Simulation for Computer Graphics written by Tuur Stuyck and published by Springer Nature. This book was released on 2022-06-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics-based animation is commonplace in animated feature films and even special effects for live-action movies. Think about a recent movie and there will be some sort of special effects such as explosions or virtual worlds. Cloth simulation is no different and is ubiquitous because most virtual characters (hopefully!) wear some sort of clothing. The focus of this book is physics-based cloth simulation. We start by providing background information and discuss a range of applications. This book provides explanations of multiple cloth simulation techniques. More specifically, we start with the most simple explicitly integrated mass-spring model and gradually work our way up to more complex and commonly used implicitly integrated continuum techniques in state-of-the-art implementations. We give an intuitive explanation of the techniques and give additional information on how to efficiently implement them on a computer. This book discusses explicit and implicit integration schemes for cloth simulation modeled with mass-spring systems. In addition to this simple model, we explain the more advanced continuum-inspired cloth model introduced in the seminal work of Baraff and Witkin [1998]. This method is commonly used in industry. We also explain recent work by Liu et al. [2013] that provides a technique to obtain fast simulations. In addition to these simulation approaches, we discuss how cloth simulations can be art directed for stylized animations based on the work of Wojan et al. [2016]. Controllability is an essential component of a feature animation film production pipeline. We conclude by pointing the reader to more advanced techniques.

Stochastic Partial Differential Equations for Computer Vision with Uncertain Data

Author : Tobias Preusser
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681731444
Total Pages : 162 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Stochastic Partial Differential Equations for Computer Vision with Uncertain Data by : Tobias Preusser

Download or read book Stochastic Partial Differential Equations for Computer Vision with Uncertain Data written by Tobias Preusser and published by Morgan & Claypool Publishers. This book was released on 2017-07-13 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data. It is good scientific practice that proper measurements must be equipped with error and uncertainty estimates. For many applications, not only the measured values but also their errors and uncertainties, should be—and more and more frequently are—taken into account for further processing. This error and uncertainty propagation must be done for every processing step such that the final result comes with a reliable precision estimate. The goal of this book is to introduce the reader to the recent advances from the field of uncertainty quantification and error propagation for computer vision, image processing, and image analysis that are based on partial differential equations (PDEs). It presents a concept with which error propagation and sensitivity analysis can be formulated with a set of basic operations. The approach discussed in this book has the potential for application in all areas of quantitative computer vision, image processing, and image analysis. In particular, it might help medical imaging finally become a scientific discipline that is characterized by the classical paradigms of observation, measurement, and error awareness. This book is comprised of eight chapters. After an introduction to the goals of the book (Chapter 1), we present a brief review of PDEs and their numerical treatment (Chapter 2), PDE-based image processing (Chapter 3), and the numerics of stochastic PDEs (Chapter 4). We then proceed to define the concept of stochastic images (Chapter 5), describe how to accomplish image processing and computer vision with stochastic images (Chapter 6), and demonstrate the use of these principles for accomplishing sensitivity analysis (Chapter 7). Chapter 8 concludes the book and highlights new research topics for the future.

Virtual Material Acquisition and Representation for Computer Graphics

Author : Dar'ya Guarnera
Publisher : Springer Nature
ISBN 13 : 3031025954
Total Pages : 93 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Virtual Material Acquisition and Representation for Computer Graphics by : Dar'ya Guarnera

Download or read book Virtual Material Acquisition and Representation for Computer Graphics written by Dar'ya Guarnera and published by Springer Nature. This book was released on 2022-05-31 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides beginners in computer graphics and related fields a guide to the concepts, models, and technologies for realistic rendering of material appearance. It provides a complete and thorough overview of reflectance models and acquisition setups, along with providing a selection of the available tools to explore, visualize, and render the reflectance data. Reflectance models are under continuous development, since there is still no straightforward solution for general material representations. Every reflectance model is specific to a class of materials. Hence, each has strengths and weaknesses, which the book highlights in order to help the reader choose the most suitable model for any purpose. The overview of the acquisition setups will provide guidance to a reader who needs to acquire virtual materials and will help them to understand which measurement setup can be useful for a particular purpose, while taking into account the performance and the expected cost derived from the required components. The book also describes several recent open source software solutions, useful for visualizing and manipulating a wide variety of reflectance models and data.

Design, Representations, and Processing for Additive Manufacturing

Author : Marco Attene
Publisher : Springer Nature
ISBN 13 : 3031025962
Total Pages : 136 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Design, Representations, and Processing for Additive Manufacturing by : Marco Attene

Download or read book Design, Representations, and Processing for Additive Manufacturing written by Marco Attene and published by Springer Nature. This book was released on 2022-06-01 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wide diffusion of 3D printing technologies continuously calls for effective solutions for designing and fabricating objects of increasing complexity. The so called "computational fabrication" pipeline comprises all the steps necessary to turn a design idea into a physical object, and this book describes the most recent advancements in the two fundamental phases along this pipeline: design and process planning. We examine recent systems in the computer graphics community that allow us to take a design idea from conception to a digital model, and classify algorithms that are necessary to turn such a digital model into an appropriate sequence of machining instructions.

Information Processing in Medical Imaging

Author : Marc Niethammer
Publisher : Springer
ISBN 13 : 3319590502
Total Pages : 691 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Information Processing in Medical Imaging by : Marc Niethammer

Download or read book Information Processing in Medical Imaging written by Marc Niethammer and published by Springer. This book was released on 2017-06-06 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 25th International Conference on Information Processing in Medical Imaging, IPMI 2017, held at the Appalachian State University, Boon, NC, USA, in June 2017. The 53 full papers presented in this volume were carefully reviewed and selected from 147 submissions. They were organized in topical sections named: analysis on manifolds; shape analysis; disease diagnosis/progression; brain networks an connectivity; diffusion imaging; quantitative imaging; imaging genomics; image registration; segmentation; general image analysis.

Advances in Neural Information Processing Systems 17

Author : Lawrence K. Saul
Publisher : MIT Press
ISBN 13 : 9780262195348
Total Pages : 1710 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Advances in Neural Information Processing Systems 17 by : Lawrence K. Saul

Download or read book Advances in Neural Information Processing Systems 17 written by Lawrence K. Saul and published by MIT Press. This book was released on 2005 with total page 1710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at NIPS, the flagship meeting on neural computation, held in December 2004 in Vancouver.The annual Neural Information Processing Systems (NIPS) conference is the flagship meeting on neural computation. It draws a diverse group of attendees--physicists, neuroscientists, mathematicians, statisticians, and computer scientists. The presentations are interdisciplinary, with contributions in algorithms, learning theory, cognitive science, neuroscience, brain imaging, vision, speech and signal processing, reinforcement learning and control, emerging technologies, and applications. Only twenty-five percent of the papers submitted are accepted for presentation at NIPS, so the quality is exceptionally high. This volume contains the papers presented at the December, 2004 conference, held in Vancouver.

The Laplacian on a Riemannian Manifold

Author : Steven Rosenberg
Publisher : Cambridge University Press
ISBN 13 : 9780521468312
Total Pages : 190 pages
Book Rating : 4.4/5 (683 download)

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Book Synopsis The Laplacian on a Riemannian Manifold by : Steven Rosenberg

Download or read book The Laplacian on a Riemannian Manifold written by Steven Rosenberg and published by Cambridge University Press. This book was released on 1997-01-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

Neural Nets WIRN10

Author : Bruno Apolloni
Publisher : IOS Press
ISBN 13 : 1607506912
Total Pages : 348 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Neural Nets WIRN10 by : Bruno Apolloni

Download or read book Neural Nets WIRN10 written by Bruno Apolloni and published by IOS Press. This book was released on 2011 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph-Based Representations in Pattern Recognition

Author : Luc Brun
Publisher : Springer Science & Business Media
ISBN 13 : 3540252703
Total Pages : 395 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Graph-Based Representations in Pattern Recognition by : Luc Brun

Download or read book Graph-Based Representations in Pattern Recognition written by Luc Brun and published by Springer Science & Business Media. This book was released on 2005-03-23 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th IAPR International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2005, held in Poitiers, France in April 2005. The 18 revised full papers and 17 revised poster papers presented were carefully reviewed and selected from 50 submissions. The papers are organized in topical sections on graph representations, graphs and linear representations, combinatorial maps, matching, hierarchical graph abstraction and matching, inexact

Image Analysis and Recognition

Author : Aurelio Campilho
Publisher : Springer
ISBN 13 : 3540698124
Total Pages : 1126 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Image Analysis and Recognition by : Aurelio Campilho

Download or read book Image Analysis and Recognition written by Aurelio Campilho and published by Springer. This book was released on 2008-06-25 with total page 1126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Image Analysis and Recognition, ICIAR 2008, held in Póvoa do Varzim, Portugal, in June 2008. The 110 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 226 submissions. The papers are organized in topical sections on image restoration and enhancement, image and video segmentation, non-linear image processing, image and video coding and encryption, indexing and retrieval, computer vision, feature extraction and classification, shape representation and matching, object recognition, character recognition, texture and motion analysis, tracking, biomedical image analysis, biometrics, face recognition, and a special session on recent advances in multimodal biometric systems and applications.

Structural, Syntactic, and Statistical Pattern Recognition

Author : Dit-Yan Yeung
Publisher : Springer
ISBN 13 : 3540372415
Total Pages : 939 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Structural, Syntactic, and Statistical Pattern Recognition by : Dit-Yan Yeung

Download or read book Structural, Syntactic, and Statistical Pattern Recognition written by Dit-Yan Yeung and published by Springer. This book was released on 2006-08-09 with total page 939 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the 11th International Workshop on Structural and Syntactic Pattern Recognition, SSPR 2006 and the 6th International Workshop on Statistical Techniques in Pattern Recognition, SPR 2006, held in Hong Kong, August 2006 alongside the Conference on Pattern Recognition, ICPR 2006. 38 revised full papers and 61 revised poster papers are included, together with 4 invited papers covering image analysis, character recognition, bayesian networks, graph-based methods and more.