Closed Object Boundaries from Scattered Points

Closed Object Boundaries from Scattered Points
Author: Remco Veltkamp
Publisher: Springer Science & Business Media
Total Pages: 162
Release: 1994-11-30
Genre: Mathematics
ISBN: 9783540588085

This monograph is devoted to computational morphology, particularly to the construction of a two-dimensional or a three-dimensional closed object boundary through a set of points in arbitrary position. By applying techniques from computational geometry and CAGD, new results are developed in four stages of the construction process: (a) the gamma-neighborhood graph for describing the structure of a set of points; (b) an algorithm for constructing a polygonal or polyhedral boundary (based on (a)); (c) the flintstone scheme as a hierarchy for polygonal and polyhedral approximation and localization; (d) and a Bezier-triangle based scheme for the construction of a smooth piecewise cubic boundary.

Closed Object Boundaries from Scattered Points

Closed Object Boundaries from Scattered Points
Author: Remco Veltkamp
Publisher: Springer
Total Pages: 152
Release: 2014-03-12
Genre: Mathematics
ISBN: 9783662193563

This monograph is devoted to computational morphology, particularly to the construction of a two-dimensional or a three-dimensional closed object boundary through a set of points in arbitrary position. By applying techniques from computational geometry and CAGD, new results are developed in four stages of the construction process: (a) the gamma-neighborhood graph for describing the structure of a set of points; (b) an algorithm for constructing a polygonal or polyhedral boundary (based on (a)); (c) the flintstone scheme as a hierarchy for polygonal and polyhedral approximation and localization; (d) and a Bezier-triangle based scheme for the construction of a smooth piecewise cubic boundary.

Geometric Modeling for Scientific Visualization

Geometric Modeling for Scientific Visualization
Author: Guido Brunnett
Publisher: Springer Science & Business Media
Total Pages: 473
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662074435

Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.

Handbook of Graph Drawing and Visualization

Handbook of Graph Drawing and Visualization
Author: Roberto Tamassia
Publisher: CRC Press
Total Pages: 869
Release: 2013-08-19
Genre: Mathematics
ISBN: 1584884126

Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and visualization applications in business, education, science, and engineering. Each chapter is self-contained and includes extensive references. The first several chapters of the book deal with fundamental topological and geometric concepts and techniques used in graph drawing, such as planarity testing and embedding, crossings and planarization, symmetric drawings, and proximity drawings. The following chapters present a large collection of algorithms for constructing drawings of graphs, including tree, planar straight-line, planar orthogonal and polyline, spine and radial, circular, rectangular, hierarchical, and three-dimensional drawings as well as labeling algorithms, simultaneous embeddings, and force-directed methods. The book then introduces the GraphML language for representing graphs and their drawings and describes three software systems for constructing drawings of graphs: OGDF, GDToolkit, and PIGALE. The final chapters illustrate the use of graph drawing methods in visualization applications for biological networks, computer security, data analytics, education, computer networks, and social networks. Edited by a pioneer in graph drawing and with contributions from leaders in the graph drawing research community, this handbook shows how graph drawing and visualization can be applied in the physical, life, and social sciences. Whether you are a mathematics researcher, IT practitioner, or software developer, the book will help you understand graph drawing methods and graph visualization systems, use graph drawing techniques in your research, and incorporate graph drawing solutions in your products.

Data Visualization

Data Visualization
Author: Frits H. Post
Publisher: Springer Science & Business Media
Total Pages: 445
Release: 2012-12-06
Genre: Computers
ISBN: 1461511771

Data visualization is currently a very active and vital area of research, teaching and development. The term unites the established field of scientific visualization and the more recent field of information visualization. The success of data visualization is due to the soundness of the basic idea behind it: the use of computer-generated images to gain insight and knowledge from data and its inherent patterns and relationships. A second premise is the utilization of the broad bandwidth of the human sensory system in steering and interpreting complex processes, and simulations involving data sets from diverse scientific disciplines and large collections of abstract data from many sources. These concepts are extremely important and have a profound and widespread impact on the methodology of computational science and engineering, as well as on management and administration. The interplay between various application areas and their specific problem solving visualization techniques is emphasized in this book. Reflecting the heterogeneous structure of Data Visualization, emphasis was placed on these topics: -Visualization Algorithms and Techniques; -Volume Visualization; -Information Visualization; -Multiresolution Techniques; -Interactive Data Exploration. Data Visualization: The State of the Art presents the state of the art in scientific and information visualization techniques by experts in this field. It can serve as an overview for the inquiring scientist, and as a basic foundation for developers. This edited volume contains chapters dedicated to surveys of specific topics, and a great deal of original work not previously published illustrated by examples from a wealth of applications. The book will also provide basic material for teaching the state of the art techniques in data visualization. Data Visualization: The State of the Art is designed to meet the needs of practitioners and researchers in scientific and information visualization. This book is also suitable as a secondary text for graduate level students in computer science and engineering.

LATIN'98: Theoretical Informatics

LATIN'98: Theoretical Informatics
Author: Claudio L. Lucchesi
Publisher: Springer Science & Business Media
Total Pages: 408
Release: 1998-03-25
Genre: Computers
ISBN: 9783540642756

This book constitutes the refereed proceedings of the Third Latin American Symposium on Theoretical Informatics, LATIN'98, held in Campinas, Brazil, in April 1998. The 28 revised full papers presented together with five invited surveys were carefully selected from a total of 53 submissions based on 160 referees' reports. The papers are organized in sections on algorithms and complexity; automata, transition systems and combinatorics on words; computational geometry and graph drawing; cryptography; graph theory and algorithms on graphs; packet routing; parallel algorithms; and pattern matching and browsing.

The Use of Computers in Radiation Therapy

The Use of Computers in Radiation Therapy
Author: Wolfgang Schlegel
Publisher: Springer Science & Business Media
Total Pages: 630
Release: 2012-12-06
Genre: Medical
ISBN: 3642597580

Computers have had and will continue to have a tremendous impact on professional activity in almost all areas. This applies to radiological medicine and in particular to radiation therapy. This book compiles the most recent developments and results of the application of computers and computer science as presented at the XIIIth International Conference on the Use of Computers in Radiation Therapy in Heidelberg, Germany. The text of both oral presentations and posters is included. The book is intended for computer sientists, medical physicists, engineers and physicians in the field of radiation therapy and provides a comprehensive survey of the entire field.

Discrete and Computational Geometry

Discrete and Computational Geometry
Author: Boris Aronov
Publisher: Springer Science & Business Media
Total Pages: 847
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642555667

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.