Download or read book Curve and Surface Reconstruction written by Tamal K. Dey and published by Cambridge University Press. This book was released on 2006-10-16 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Download or read book Curve and Surface Reconstruction written by Tamal Krishna Dey and published by . This book was released on 2007 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Download or read book Curve and Surface Reconstruction from Images and Sparse Finite Element Level sets written by Martin Weber and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curve and Surface Reconstruction from Noisy Samples written by Sheung-Hung Poon and published by . This book was released on 2004 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curve and Surface Reconstruction Surface reconstruction written by Tamal Krishna Dey and published by . This book was released on 2007 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Download or read book Physically based Methods for Parametric Curve and Surface Reconstruction written by Lian Fang and published by . This book was released on 1994 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curve and Surface Reconstruction Noise and reconstruction written by Tamal Krishna Dey and published by . This book was released on 2007 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.
Download or read book Toward Controllable and Robust Surface Reconstruction from Spatial Curves written by Zhiyang Huang (Computer scientist) and published by . This book was released on 2019 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstructing surface from a set of spatial curves is a fundamental problem in computer graphics and computational geometry. It often arises in many applications across various disciplines, such as industrial prototyping, artistic design and biomedical imaging. While the problem has been widely studied for years, challenges remain for handling different type of curve inputs while satisfying various constraints. We study studied three related computational tasks in this thesis. First, we propose an algorithm for reconstructing multi-labeled material interfaces from cross-sectional curves that allows for explicit topology control. Second, we addressed the consistency restoration, a critical but overlooked problem in applying algorithms of surface reconstruction to real-world cross-sections data. Lastly, we propose the Variational Implicit Point Set Surface which allows us to robustly handle noisy, sparse and non-uniform inputs, such as samples from spatial curves.
Download or read book Effective Computational Geometry for Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer Science & Business Media. This book was released on 2006-10-24 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.
Download or read book An algorithm for curve reconstruction from sparse points written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A reconstrução de curvas e superfícies a partir de pontos esparsos é um problema que tem recebido bastante atenção ultimamente. A não-estruturação dos pontos (ou seja, desconhecimento das relações de vizinhança e proximidade) e a presença de ruído são dois fatores que tornam este problema complexo. Para resolver este problema, várias técnicas podem ser utilizadas, como triangulação de Delaunay, reconstrução de iso-superfícies através de Marching Cubes e algoritmos baseados em avanço de fronteira. O algoritmo proposto consiste de quatro etapas principais: a primeira etapa é a clusterização dos pontos de amostragem de acordo com sua localização espacial. A clusterização fornece uma estrutura espacial para os pontos, e consiste em dividir o espaço em células retangulares de mesma dimensão, classificando as células em cheias (caso possuam pontos de amostragem em seu interior) ou vazias (caso não possuam pontos de amostragem em seu interior). A estrutura de dados gerada nesta etapa permite também obter o conjunto dos pontos de amostragem de cada uma das células. A segunda etapa é o processamento dos pontos através de projeções MLS. A etapa de pré-processameno visa reduzir ruído dos pontos de amostragem, bem como adequar a densidade de pontos ao nível de detalhe esperado, adicionando ou removendo pontos do conjunto inicial. A terceira etapa parte do conjunto das células que possuem pontos de amostragem em seu interior (células cheias) e faz a esqueletonização deste conjunto de células, obtendo, assim, uma aproximação digital para a curva a ser reconstruída. Este esqueleto é encontrado através do afinamento topológico das células que possuem pontos. A implementação do algoritmo de afinamento é feita de modo que o número de pontos em cada célula seja levado em consideração, removendo primeiro sempre as células com menor número de pontos. Na quarta etapa, a reconstrução da curva é finalmente realizada. Para tal, parte-se do esqueleto obtido na terceira etapa e constrói-se uma curva linear por partes, onde cada vértice é obtido a partir da projeção MLS do ponto médio de cada célula do esqueleto.
Download or read book Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer. This book was released on 2012-01-06 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.
Download or read book Visual Motion of Curves and Surfaces written by Roberto Cipolla and published by Cambridge University Press. This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.
Download or read book Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space written by Sung Joon Ahn and published by Springer. This book was released on 2004-10-29 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the continuing progress of sensor technology, the availability of 3-D cameras is already foreseeable. These cameras are capable of generating a large set of measurement points within a very short time. There are a variety of 3-D camera applications in the fields of robotics, rapid product development and digital factories. In order to not only visualize the point cloud but also to recognize 3-D object models from the point cloud and then further process them in CAD systems, efficient and stable algorithms for 3-D information processing are required. For the automatic segmentation and recognition of such geometric primitives as plane, sphere, cylinder, cone and torus in a 3-D point cloud, efficient software has recently been developed at the Fraunhofer IPA by Sung Joon Ahn. This book describes in detail the complete set of ‘best-fit’ algorithms for general curves and surfaces in space which are employed in the Fraunhofer software.
Download or read book Curves and Surfaces written by Pierre-Jean Laurent and published by CRC Press. This book was released on 1994-07-15 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents the results and presentations, related to aspects of geometric design, of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application. From the table of contents: - Object Oriented Spline Software - An Int
Download or read book Effective Computational Geometry for Curves and Surfaces written by Jean-Daniel Boissonnat and published by Springer. This book was released on 2006-10-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.
Download or read book Implicit Curves and Surfaces Mathematics Data Structures and Algorithms written by Abel Gomes and published by Springer Science & Business Media. This book was released on 2009-05-12 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications. Divided into two parts, the first introduces the mathematics of implicit curves and surfaces, as well as the data structures suited to store their sampled or discrete approximations, and the second deals with different computational methods for sampling implicit curves and surfaces, with particular reference to how these are applied to functions in 2D and 3D spaces.
Download or read book Mathematical Methods for Curves and Surfaces written by Morten Dæhlen and published by Springer Science & Business Media. This book was released on 2010-03-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.
