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In this work we explore possibilities for coding when information worlds have different (semantic) values. We introduce a loss function that expresses the overall performance of a coding scheme for discrete channels and exchange the usual goal of minimizin ...
"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...
The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...
The presented reciprocal frame structure is a modular composition of timber folded panels. The overall geometry is driven from a folded plate base module which is then spartially multiplied in using Euclidean isometries. The intersection of consecutive mod ...
The content of this thesis is two-fold. The first part takes the form of an essay while the second part presents a theoretical project for an architectural installation. Using these two modes as different ways to address similar issues, the present work pr ...
McGill University, Post-Graduate Masters (M.Arch) Theory of Architecture1999
According to a well known theorem of Haussler and Welzl (1987), any range space of bounded VC-dimension admits an epsilon-net of size O (1/epsilon log 1/epsilon). Using probabilistic techniques, Pach and Woeginger (1990) showed that there exist range space ...
Acm Order Department, P O Box 64145, Baltimore, Md 21264 Usa2011
Visualization tools can facilitate access to complex spatial phenomenon. This access is what the application to be presented aims at. As a case study to such a complex phenomenon, the addressed question is that of the commuters' space of the Swiss federal ...
We propose a method for the registration of MRI brain images with the physical space. Points on the patients scalp are acquired using a magnetic-field digitizer. The registration transform is the rigid transform that minimizes the mean square distance bet ...
It is shown that the Euclidean group of translations, when treated as a Lie group, generates translations not only in Euclidean space but on any space, curved or not. Translations are then not necessarily vectors (straight lines); they can be any curve com ...
We propose here some basic approaches to direct processing of the 360o-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...
