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The performance of napkins is nowadays improved substantially by embedding granules of a superabsorbent into the cellulose matrix. In this paper a continuous model for the liquid transport in such an Ultra Napkin is proposed. Its mean feature is a nonlinear diffusion equation strongly coupled with an ODE describing a reversible absorbtion process. An efficient numerical method based on a symmetrical time splitting and a finite difference scheme of ADI-predictor-corrector type has been developed to solve these equations in a three dimensional setting. Numerical results are presented that can be used to optimize the granule distribution.
For the online collision detection with a multi-arm robot a fast method for computing the so-called collision vector is presented. Manipulators and obstacles are modelled by sets of convex polytopes. Known distance algorithms serve as a foundation. To speed up the collision detection dynamic obstacles are approximated by geometric primitives and organized in hierarchies. On-line, the here introduced Dynamic Hierarchies are adjusted to the current arm configuration. A comparison with previous methods shows an increased acceleration of the computations.
In this paper we present an interpreter which allows to support the validation of conceptual models in early stages of the development. We compare hypermedia and expert system approaches to knowledge processing and show how an integrated approach eases the creation of expert systems. Our knowledge engineering tool CoMo-Kit allows a "smooth" transition from initial protocols via a semi-formal specification based on a typed hypertext up to an running expert system. The interpreter uses the intermediate hypertext representation for the interactive solution of problems. Thereby, tasks are distributed to agents via an local area network. This means that the specification of an expert system can directly be used to solve real world problems. If there exist formal (operational) specifications for subtasks then these are delegated to computers. Therefore, our approach allows to specify and validate distributed, cooperative systems where some subtasks are solved by humans and other subtasks are solved automatically by computers.
In diesem Papier vergleichen wir Hypermedia- und Expertensystemansaetze zur Wissensverarbeitung. Wir zeigen, wie ein integrierter Ansatz die Erstellung von Expertensystemen erleichtert. Das von uns entwickelte und implementierte System ermoeglicht einen "sanften" Entwicklungsprozess ausgehend von initialen Protokollen zu einer semi-formale Strukturierung in Form eines getypten Hypertextes. Dem Hypertext ist eine aufgabenorientierte Struktur aufgepraegt, so dass eine anschliessende Operationalisierung in Form eines Expertensystems vereinfacht wird. Die in diesem Prozess erzeugte Zwischenrepraesentation (der Hypertext) wird von einem Interpreter direkt zur interaktiven Loesung von Problemen benutzt, wobei die einzelnen Aufgaben auf die verschiedenen Sachbearbeiter verteilt werden. Abschliessend erlaeutern wir, dass Hypertext und Expertensysteme nur die Raender eines Kontinuums einer allgemeinen Wissensverarbeitung sind.
In diesem Papier stellen wir einen Interpreter vor, der die Validierung von konzeptuellen Modellen bereits in fruehen Entwicklungsphasen unterstuetzt. Wir vergleichen Hypermedia- und Expertensystemansaetze zur Wissensverarbeitung und erlaeutern, wie ein integrierter Ansatz die Erstellung von Expertensystemen vereinfacht. Das von uns entwickelte Knowledge Engineering Werkzeug ermoeglicht einen "sanften" Uebergang von initialen Protokollen ueber eine semi-formale Spezifikation in Form eines getypten Hypertextes hin zu einem operationalen Expertensystem. Ein Interpreter nutzt die in diesem Prozess erzeugte Zwischenrepraesentation direkt zur interaktiven Loesung von Problemen, wobei einzelne Aufgaben ueber ein lokales Rechnernetz auf die Bearbeiter verteilt werden. Das heisst, die Spezifikation des Expertensystems wird direkt fuer die Loesung realer Probleme eingesetzt. Existieren zu einzelnen Teilaufgaben Operationalisierungen (d.h. Programme), dann werden diese vom Computer bearbeitet.
Die Lösung einer Konfigurationsaufgabe in technischen Domänen besteht aus einer Menge von Bauteilen, die miteinander verträglich sind und in ihrem Zusammenspiel die gegebenen Anforderung erfüllen. Eine gängige Vorgehensweise bei der Suche nach einer Lösung ist die schrittweise Spezialisierung einer abstrakten Aufgabenstellung oder ihre Zerlegung in Teilaufgaben. Ein Konfigurationssystem, das diese Vorgehensweise unterstützt, muss Wissen enthalten, wie eine Aufgabe spezialisiert oder in Teilaufgaben zerlegt werden kann, welche konkreten Bauteile zur Erfüllung einer ausreichend detaillierten Teilaufgabe verwendet werden können und ob alle Teile einer Lösung miteinander verträglich sind. Aufgrund dieses Wissens kann eine konsistente Lösung durch Tiefensuche hergeleitet werden.
Four different initialization methods for parallel Branch-and-bound algorithms are described and compared with reference to several criteria. A formal analysis of their idle times and efficiency follows. It indicates that the efficiency of three methods depends on the branching factor of the search tree. Furthermore, the fourth method offers the best efficiency of the overall algorithm when a centralized OPEN set is used. Experimental results by a PRAM simulation support these statements.
A method for efficiently handling associativity and commutativity (AC) in implementations of (equational) theorem provers without incorporating AC as an underlying theory will be presented. The key of substantial efficiency gains resides in a more suitable representation of permutation-equations (such as f(x,f(y,z))=f(y,f(z,x)) for instance). By representing these permutation-equations through permutations in the mathematical sense (i.e. bijective func- tions :{1,..,n} {1,..,n}), and by applying adapted and specialized inference rules, we can cope more appropriately with the fact that permutation-equations are playing a particular role. Moreover, a number of restrictions concerning application and generation of permuta- tion-equations can be found that would not be possible in this extent when treating permu- tation-equations just like any other equation. Thus, further improvements in efficiency can be achieved.
In this paper we describe a framework for defining and operationalizing conceptual models of distributed knowledge-based systems which extends published approaches by the notion of ,agents" and multiple task decompositions. The main part deals with techniques underlying our distributed interpreter. We show how a client-server-architecture can be implemented which allows prototyping distributed knowledge-based systems. Further we describe our mechanism which manages task interactions and supports dependency-directed backtracking efficiently.
This paper presents fill algorithms for boundary-defined regions in raster graphics. The algorithms require only a constant size working memory. The methods presented are based on the so-called "seed fill" algorithms using the internal connectivity of the region with a given inner point. Basic methods as well as additional heuristics for speeding up the algorithm are described and verified. For different classes of regions, the time complexity of the algorithms is compared using empirical results.
The introduction of sorts to first-order automated deduc-tion has brought greater conciseness of representation and a considerablegain in efficiency by reducing search spaces. This suggests that sort in-formation can be employed in higher-order theorem proving with similarresults. This paper develops a sorted (lambda)-calculus suitable for automatictheorem proving applications. It extends the simply typed (lambda)-calculus by ahigher-order sort concept that includes term declarations and functionalbase sorts. The term declaration mechanism studied here is powerfulenough to subsume subsorting as a derived notion and therefore gives ajustification for the special form of subsort inference. We present a set oftransformations for sorted (pre-) unification and prove the nondetermin-istic completeness of the algorithm induced by these transformations.
Hyperbolic planes
(1995)
A survey on continuous, semidiscrete and discrete well-posedness and scale-space results for a class of nonlinear diffusion filters is presented. This class does not require any monotony assumption (comparison principle) and, thus, allows image restoration as well. The theoretical results include existence, uniqueness, continuous dependence on the initial image, maximum-minimum principles, average grey level invariance, smoothing Lyapunov functionals, and convergence to a constant steady state.
Cloudy inhomogenities in artificial fabrics are graded by a fast method which is based on a Laplacian pyramid decomposition of the fabric image. This band-pass representation takes into account the scale character of the cloudiness. A quality measure of the entire cloudiness is obtained as a weighted mean over the variances of all scales.
With this article we first like to give a brief review on wavelet thresholding methods in non-Gaussian and non-i.i.d. situations, respectively. Many of these applications are based on Gaussian approximations of the empirical coefficients. For regression and density estimation with independent observations, we establish joint asymptotic normality of the empirical coefficients by means of strong approximations. Then we describe how one can prove asymptotic normality under mixing conditions on the observations by cumulant techniques.; In the second part, we apply these non-linear adaptive shrinking schemes to spectral estimation problems for both a stationary and a non-stationary time series setup. For the latter one, in a model of Dahlhaus on the evolutionary spectrum of a locally stationary time series, we present two different approaches. Moreover, we show that in classes of anisotropic function spaces an appropriately chosen wavelet basis automatically adapts to possibly different degrees of regularity for the different directions. The resulting fully-adaptive spectral estimator attains the rate that is optimal in the idealized Gaussian white noise model up to a logarithmic factor.
This paper is devoted to the mathematica l description of the solution of the so-called rainflow reconstruction problem, i.e. the problem of constructing a time series with an a priori given rainflow m atrix. The algorithm we present is mathematically exact in the sense that no app roximations or heuristics are involved. Furthermore it generates a uniform distr ibution of all possible reconstructions and thus an optimal randomization of the reconstructed series. The algorithm is a genuine on-line scheme. It is easy adj ustable to all variants of rainflow such as sysmmetric and asymmetric versions a nd different residue techniques.
In the automotive industry both the loca l strain approach and rainflow counting are well known and approved tools in the numerical estimation of the lifetime of a new developed part especially in the automotive industry. This paper is devoted to the combination of both tools and a new algorithm is given that takes advantage of the inner structure of the most used damage parameters.