Boundary representation models reconstructed from 3D range data suffer from various inaccuracies caused by noise in the data and the model building software. Such models can be improved in a beautification step, which finds geometric regularities approximately present in the model and imposes a consistent subset of them on the model. Methods to select regularities consistently such that they ar...

Boundary representation models reconstructed from 3D range data suffer from various inaccuracies caused by noise in the data and the model building software. The quality of such models can be improved in a beautification step, which finds geometric regularities approximately present in the model and tries to impose a consistent subset of these regularities on the model. A framework for beautifi...

K e y w o r d s A p p r o x i m a t e regularities, Approximate period, Approximate cover, Approximate seed, Hamming distance, Edit distance, Weighted edit distance, Smallest distance approximation, Restricted smallest distance approximation. 1. I N T R O D U C T I O N Find ing regularities in s t r ings is useful in a wide a rea of app l i ca t ions which involve s t r ing man ipu la t ions , ...

Language learners encounter numerous opportunities to learn regularities, but need to decide which of these regularities to learn, because some are not productive in their native language. Here, we present an account of rule learning based on perceptual and memory primitives (Endress, Dehaene-Lambertz, & Mehler, Cognition, 105(3), 577-614, 2007; Endress, Nespor, & Mehler, Trends in Cognitive Sc...

whereas there is an exact linear relation between the wiener indices of kenograms and plerograms of isomeric alkanes, the respective terminal wiener indices exhibit a completely different behavior: correlation between terminal wiener indices of kenograms and plerograms is absent, but other regularities can be envisaged. in this article, we analyze the basic properties of terminal wiener indices...

An empirical regularity is typically limited to a particular range of independent variables. If many such regularities hold in a multi-dimensional space of independent variables, a diagrammatic representation of the set of regularities and their boundaries can help us to understand their distribution, and the completeness of the set of regularities. Furthermore, a diagrammatic representation ca...

Current reverse engineering systems are able to generate simple valid boundary representation (B-rep) models from 3D range data. Such models suffer from various inaccuracies caused by noise in the input data and algorithms. Reverse engineered geometric models may be beautified by finding approximate geometric regularities in such a model, and imposing a suitable subset of them on the model by u...

Regularities, or the conformity to unifying principles, are essential to the comprehensibility, manageability and reliability of large software systems. Yet, as is argued in this paper, the inherent globality of regularities makes them very hard to establish in traditional methods, unless they are built into the very fabric of a programming language. This paper explores an approach to regularit...

By applying the minimality principle for model selection, one should seek the model that describes the data by a code of minimal length. Learning is viewed as data compression that exploits the regularities or qualitative properties found in the data, in order to build a model containing the meaningful information. The theory of causal modeling can be interpreted by this approach. The regularit...