Reconstruction of Physical Correlations Using Symbolic Regression

Modeling the particle ow mechanisms in orthogonal cutting of turning processes is a vital task in mechanical engineering. This paper presents a new approach that differs from techniques like finite element analyzes (FEA) or molecular dynamics (MD). Using symbolic regression, a genetic programming system evolves mathematical formulae that describe the trajectories of single particles of steel recorded during the turning process by a high-speed camera

A Comparison of Point Data Selection Schemes for Evolutionary Surface Reconstructions

This article presents a study of the application of Computational Intelligence (CI) methods to the problem of optimal surface reconstruction using triangulations and NURBS (Non-Uniform Rational B-Splines) surface approximations on digitized point data. In mechanical engineering surface reconstructions are used to transform physical objects into mathematical representations for computer aided design purposes. In order to record the geometrical shape of the objects, tactile or optical sensors generate point sets with a huge number of sample points. The number and distribution of these points are decisive for the quality and computational efficiency of the numerical surface representations. Triangulations and NURBS are widely used in CAD/CAM-applications, because they belong to a class of very exible discrete interpolation and approximation methods. In order to verify the suitability of surface model independent point selection schemes and to find model dependent sampling point distributions, optimal surface reconstructions are used

Dynamic Neighborhood Structures in Parallel Evolution Strategies

Parallelizing is a straightforward approach to reduce the total computation time of evolutionary algorithms. Finding an appropriate communication network within spatially structured populations for improving convergence speed and convergence probability is a difficult task. A new method that uses a dynamic communication scheme in an evolution strategy will be compared with conventional static and dynamic approaches. The communication structure is based on a socalled diffusion model approach. The links between adjacent individuals are dynamically chosen according to deterministic or probabilistic rules. Due to self-organization effects, efficient and stable communication structures are established that perform robust and fast on a multimodal test function

Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures

The role of operational quantum mechanics, quantum axiomatics and quantum structures in general is presented as a contribution to a compendium on quantum physics, its history and philosophy.Comment: 6 page

New Solutions for Surface Reconstruction from Discrete Point Data by Means of Computational Intelligence

Surface reconstruction by means of triangulation of digitized point data leads to computational complex optimization problems. Here, deterministic algorithms often result in insufficient solutions or very long computation times. In this article, alternative methods of computational intelligence are discussed. A comparative analysis of two evolutionary algorithms applied to four different smoothness criteria for the triangulation of sparse point data sets is presented. optimally triangulated surfaces are the basis for many practical applications. The results presented here cover the efficient implementation and the influence of different triangulations for an adequate touch probe radius compensation (TPRC)

Surface Reconstruction from 3D Point Data with a Genetic Programming/Evolution Strategy hybrid

Surface reconstruction is a hard key problem in the industrial domain of computer-aided design (CAD) applications. A physical object, like a workpiece, must be represented in some standard CAD object description format such that its representation can be efficiently used in a CAD process like redesign. To that end, a digitizing process represents the object surface as a weakly-structured discrete and digitized set of 3D points. Surface reconstruction attempts to transform this representation into an efficient CAD representation. Certain classic approaches produce inefficient reconstructions of surface areas that do not correspond to construction logic. Here, a new reconstruction principle in form of a computational-intelligence-based software system is presented that yields logical and efficient representations