Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration write by Torsten Möller. This book was released on 2009-06-12. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration available in PDF, EPUB and Kindle. The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration write by Torsten Möller. This book was released on 2009-08-29. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration available in PDF, EPUB and Kindle. The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.
Foundations of Data Visualization
Foundations of Data Visualization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Foundations of Data Visualization write by Min Chen. This book was released on 2020-08-11. Foundations of Data Visualization available in PDF, EPUB and Kindle. This is the first book that focuses entirely on the fundamental questions in visualization. Unlike other existing books in the field, it contains discussions that go far beyond individual visual representations and individual visualization algorithms. It offers a collection of investigative discourses that probe these questions from different perspectives, including concepts that help frame these questions and their potential answers, mathematical methods that underpin the scientific reasoning of these questions, empirical methods that facilitate the validation and falsification of potential answers, and case studies that stimulate hypotheses about potential answers while providing practical evidence for such hypotheses. Readers are not instructed to follow a specific theory, but their attention is brought to a broad range of schools of thoughts and different ways of investigating fundamental questions. As such, the book represents the by now most significant collective effort for gathering a large collection of discourses on the foundation of data visualization. Data visualization is a relatively young scientific discipline. Over the last three decades, a large collection of computer-supported visualization techniques have been developed, and the merits and benefits of using these techniques have been evidenced by numerous applications in practice. These technical advancements have given rise to the scientific curiosity about some fundamental questions such as why and how visualization works, when it is useful or effective and when it is not, what are the primary factors affecting its usefulness and effectiveness, and so on. This book signifies timely and exciting opportunities to answer such fundamental questions by building on the wealth of knowledge and experience accumulated in developing and deploying visualization technology in practice.
Mathematical Principles for Scientific Computing and Visualization
Mathematical Principles for Scientific Computing and Visualization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Principles for Scientific Computing and Visualization write by Gerald Farin. This book was released on 2008-10-21. Mathematical Principles for Scientific Computing and Visualization available in PDF, EPUB and Kindle. This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.
Scientific Visualization: The Visual Extraction of Knowledge from Data
Scientific Visualization: The Visual Extraction of Knowledge from Data - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Scientific Visualization: The Visual Extraction of Knowledge from Data write by Georges-Pierre Bonneau. This book was released on 2006-01-20. Scientific Visualization: The Visual Extraction of Knowledge from Data available in PDF, EPUB and Kindle. One of the greatest scientific challenges of the 21st century is how to master, organize and extract useful knowledge from the overwhelming flow of information made available by today’s data acquisition systems and computing resources. Visualization is the premium means of taking up this challenge. This book is based on selected lectures given by leading experts in scientific visualization during a workshop held at Schloss Dagstuhl, Germany. Topics include user issues in visualization, large data visualization, unstructured mesh processing for visualization, volumetric visualization, flow visualization, medical visualization and visualization systems. The book contains more than 350 color illustrations.
