Wolfram Luther – författare

Dieses Buch gibt Studierenden der Mathematik und Informatik, aber auch interessierten Ingenieurstudenten eine moderne und geschlossene Sichtweise der Computergrafik mit wichtigen Aspekten aus der Bildverarbeitung. Die mathematischen und informatischen Hilfsmittel aus den Teildisziplinen Diskrete Geometrie, Effiziente Algorithmen, Grafikprogrammierung, Analysis und Differentialgeometrie, aber auch die Hardwareaspekte der Plattformen PC und Grafikworkstation werden in nachvollziehbarer Weise integriert, so dass Nichtmathematiker nicht von vornherein ausgegrenzt werden. Das Buch ist praxisorientiert und als Begleittext zu Vorlesungen aus dem Studienabschnitt viertes bis achtes Semester auch fur das Selbststudium geeignet. Es enthalt eine Vielzahl von gelosten Ubungsaufgaben und Abbildungen einschliesslich einiger Farbtafeln. Zur Vermittlung der Computergrafik bedarf es einer integrierten Darstellung, die nicht nur die theoretischen Grundlagen vermittelt, sondern anhand von Programmen einen direkten Einblick in die Auswirkungen und Leistungsfahigkeit der Algorithmen ermoglicht.Auf einer CD-ROM sind dem Buch Programme fur die Rechnerplattform IBM-kompatible DOS- und Windows-Rechner, Apple-Macintosh und Grafik-Workstations in den Programmiersprachen Assembler, PASCAL und C sowohl im Quelltext wie auch in ausfuhrbarer Form beigefugt, die die wichtigsten Algorithmen direkt, in ihrer Wirkungsweise oft verlangsamt oder mit Zoom vorstellen.

Reliable computing techniques are essential if the validity of the output of a - merical algorithm is to be guaranteed to be correct. Our society relies more and more on computer systems. Usually, our systems appear to work successfully, but there are sometimes serious, and often minor, errors. Validated computing is one essential technology to achieve increased software reliability. Formal - gor in the de?nition of data types, the computer arithmetic, in algorithm design, and in program execution allows us to guarantee that the stated problem has (or does not have) a solution in an enclosing interval we compute. If the enclosure is narrow, we are certain that the result can be used. Otherwise, we have a clear warning that the uncertainty of input values might be large and the algorithm and the model have to be improved. The use of interval data types and al- rithms with controlled rounding and result veri?cation capture uncertainty in modeling and problem formulation, in model parameter estimation, in algorithm truncation, in operation round-o?, and in model interpretation. The techniques of validated computing have proven their merits in many scienti?c and engineering applications. They are based on solid and interesting theoretical studies in mathematics and computer science. Contributions from ?elds including real, complex and functional analysis, semigroups, probability, statistics,fuzzyintervalanalysis,fuzzylogic,automaticdi?erentiation,computer hardware, operating systems, compiler construction, programming languages, object-oriented modeling, parallel processing, and software engineering are all essential.

Reliable computing techniques are essential if the validity of the output of a - merical algorithm is to be guaranteed to be correct. Our society relies more and more on computer systems. Usually, our systems appear to work successfully, but there are sometimes serious, and often minor, errors. Validated computing is one essential technology to achieve increased software reliability. Formal - gor in the de?nition of data types, the computer arithmetic, in algorithm design, and in program execution allows us to guarantee that the stated problem has (or does not have) a solution in an enclosing interval we compute. If the enclosure is narrow, we are certain that the result can be used. Otherwise, we have a clear warning that the uncertainty of input values might be large and the algorithm and the model have to be improved. The use of interval data types and al- rithms with controlled rounding and result veri?cation capture uncertainty in modeling and problem formulation, in model parameter estimation, in algorithm truncation, in operation round-o?, and in model interpretation. The techniques of validated computing have proven their merits in many scienti?c and engineering applications. They are based on solid and interesting theoretical studies in mathematics and computer science. Contributions from ?elds including real, complex and functional analysis, semigroups, probability, statistics,fuzzyintervalanalysis,fuzzylogic,automaticdi?erentiation,computer hardware, operating systems, compiler construction, programming languages, object-oriented modeling, parallel processing, and software engineering are all essential.

Ausgehend vom Thema "Schulen auf dem Weg in die Informationsgesellschaft" bietet der vorliegende Band einen Überblick über Stand, Einführung und Konzeption computer- und netzgestützter Technologien für Schulen.

A large amount of the capacity of today’s computers is used for computations that can be described as computations involving real numbers. In this book, the focus is on a problem arising particularly in real number computations: the problem of veri?edor reliablecomputations. Since real numbersare objects c- taining an in?nite amount of information, they cannot be represented precisely on a computer. This leads to the well-known problems caused by unveri?ed - plementations of real number algorithms using ?nite precision. While this is t- ditionally seen to be a problem in numerical mathematics, there are also several scienti?c communities in computer science that are dealing with this problem. This book is a follow-up of the Dagstuhl Seminar 06021 on “Reliable Imp- mentation of Real Number Algorithms: Theory and Practice,” which took place January 8–13, 2006. It was intended to stimulate an exchange of ideas between the di?erent communities that deal with the problem of reliable implementation of real number algorithms either from a theoretical or from a practical point of view. Forty-eight researchers from many di?erent countries and many di?erent disciplines gathered in the castle of Dagstuhl to exchange views and ideas, in a relaxed atmosphere. The program consisted of 35 talks of 30 minutes each, and of three evening sessions with additional presentations and discussions. There were also lively discussions about di?erent theoretical models and practical - proaches for reliable real number computations.

A large amount of the capacity of today’s computers is used for computations that can be described as computations involving real numbers. In this book, the focus is on a problem arising particularly in real number computations: the problem of veri?edor reliablecomputations. Since real numbersare objects c- taining an in?nite amount of information, they cannot be represented precisely on a computer. This leads to the well-known problems caused by unveri?ed - plementations of real number algorithms using ?nite precision. While this is t- ditionally seen to be a problem in numerical mathematics, there are also several scienti?c communities in computer science that are dealing with this problem. This book is a follow-up of the Dagstuhl Seminar 06021 on “Reliable Imp- mentation of Real Number Algorithms: Theory and Practice,” which took place January 8–13, 2006. It was intended to stimulate an exchange of ideas between the di?erent communities that deal with the problem of reliable implementation of real number algorithms either from a theoretical or from a practical point of view. Forty-eight researchers from many di?erent countries and many di?erent disciplines gathered in the castle of Dagstuhl to exchange views and ideas, in a relaxed atmosphere. The program consisted of 35 talks of 30 minutes each, and of three evening sessions with additional presentations and discussions. There were also lively discussions about di?erent theoretical models and practical - proaches for reliable real number computations.

This book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 08021 on Numerical Validation in Current Hardware Architectures held at Dagstuhl Castle, Germany, in January 2008. The 16 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification.

This book constitutes the thoroughly refereed post-proceedings of the Dagstuhl Seminar 08021 on Numerical Validation in Current Hardware Architectures held at Dagstuhl Castle, Germany, in January 2008. The 16 revised full papers presented were selected during two rounds of reviewing and improvements. The papers are organized in topical sections on languages, software systems and tools, new verification techniques based on interval arithmetic, applications in science and engineering, and novel approaches to verification.

Ausgehend vom Thema "Schulen auf dem Weg in die Informationsgesellschaft" bietet der vorliegende Band einen Überblick über Stand, Einführung und Konzeption computer- und netzgestützter Technologien für Schulen.