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- research-articleMay 2023
Fast Density-Based Clustering: Geometric Approach
Proceedings of the ACM on Management of Data (PACMMOD), Volume 1, Issue 1Article No.: 58, Pages 1–24https://doi.org/10.1145/3588912DBSCAN is a fundamental density-based clustering algorithm with extensive applications. However, a bottleneck of DBSCAN is its O(n2) worst-case time complexity. In this paper, we propose an algorithm called GAP-DBC, which exploits the geometric ...
- articleMarch 2018
A geometric approach to structural model matching by output feedback in linear impulsive systems
International Journal of Applied Mathematics and Computer Science (IJAMCS), Volume 28, Issue 1Pages 25–38https://doi.org/10.2478/amcs-2018-0002Abstract This paper provides a complete characterization of solvability of the problem of structural model matching by output feedback in linear impulsive systems with nonuniformly spaced state jumps. Namely, given a linear impulsive plant and a linear ...
- ArticleMarch 2011
Mobile Augmented Reality at the Hollywood Walk of Fame
VR '11: Proceedings of the 2011 IEEE Virtual Reality ConferencePages 183–186https://doi.org/10.1109/VR.2011.5759460This work introduces techniques to facilitate large-scale Augmented Reality (AR) experiences in unprepared outdoor environments. We develop a shape-based object detection framework that works with limited texture and can robustly handle extreme ...
- research-articleAugust 2007
A fully geometric approach for the workspace area of the Gantry-Tau parallel kinematic manipulator
RA '07: Proceedings of the 13th IASTED International Conference on Robotics and ApplicationsPages 437–444One of the main advantages of the Gantry-Tau machine is a large accessible workspace/footprint ratio compared to many other parallel machines. The design presented in this paper achieves a workspace/footprint ratio of more than 2.7 with fixed length ...
- research-articleAugust 2007
Two New Bayesian Approximations of Belief Functions Based on Convex Geometry
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics (TSMCPB), Volume 37, Issue 4Pages 993–1008https://doi.org/10.1109/TSMCB.2007.895991In this paper, we analyze from a geometric perspective the meaningful relations taking place between belief and probability functions in the framework of the geometric approach to the theory of evidence. Starting from the case of binary domains, we ...
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- articleJune 2007
A STATE-SPACE APPROACH TO QUANTIZATION COARSENESS FOR QUADRATIC STABILIZATION OF SINGLE-INPUT SYSTEMS
Asian Journal of Control (ASJC), Volume 9, Issue 2Pages 133–143https://doi.org/10.1111/j.1934-6093.2007.tb00316.xThe input-space-based concept of quantization density recently introduced in the literature for single-input systems can be regarded as a measure of the amount of information that a static feedback law employs. Here, we introduce a concept of quantizer ...
- research-articleFebruary 2007
Geometric Type-1 and Type-2 Fuzzy Logic Systems
IEEE Transactions on Fuzzy Systems (TOFS), Volume 15, Issue 1Pages 3–15https://doi.org/10.1109/TFUZZ.2006.889764This paper presents a novel approach to the representation of type-1 and type-2 fuzzy sets utilising computational geometry. To achieve this our approach borrows ideas from the field of computational geometry and applies these techniques in the novel ...
- ArticleOctober 2006
Stabilizability of linear periodic continuous-time systems by double periodic state feedback
CONTROL'06: Proceedings of the 2nd WSEAS international conference on Dynamical systems and controlPages 1–6This report gives a condition on stabilizability by double periodic state feedback for linear periodic continuous-time systems. Firstly stable, unstable and reachable subspaces are extended from linear time invariant case. They are spanned by a smooth ...
- articleMay 2006
Model-based fault detection and identification: oriented sensor selection approach
This paper deals with continuous linear time-invariant systems and is focused on the model-based failure detection and identification problem, and more precisely, on the so-called residual generation problem. Our purpose is to present some new results ...
- articleApril 2006
Signal Decoupling with Preview in the Geometric Context: Exact Solution for Nonminimum-Phase Systems
Journal of Optimization Theory and Applications (JOPT), Volume 129, Issue 1Pages 165–183https://doi.org/10.1007/s10957-006-9050-7The problem of making the output of a discrete-time linear system totally insensitive to an exogenous input signal known with preview is tackled in the geometric approach context. A necessary and sufficient condition for exact decoupling with stability ...
- articleOctober 2001
Generalized Signal Decoupling Problem with Stability for Discrete-Time Systems
Journal of Optimization Theory and Applications (JOPT), Volume 111, Issue 1Pages 59–80https://doi.org/10.1023/A:1017519230453This paper deals with the decoupling problems of unknown, measurable, and previewed signals. First, well-known solutions of unknown and measurable disturbance decoupling problems are recalled. Then, new necessary and sufficient constructive conditions ...
- articleJanuary 1998
Refereed paper: A geometric approach for shared secrets, a refinement
Computers and Security (CSEC), Volume 17, Issue 8Pages 725–732https://doi.org/10.1016/S0167-4048(98)80102-8A refinement to the (k,n) threshold scheme proposed by Wu and He [1] is presented. It has been found that usable primes p need not be confined to the form p = +/-3 (mod 8) as suggested originally. Our constructive proof also lead to a different ...
- ArticleJune 1996
A Geometric Approach to Segmentation and Analysis of 3D Medical Images
Abstract: A geometric scheme for detecting, representing, and measuring 3D medical data is presented. The technique based on deforming 3D surfaces, represented via level-sets, towards the medical objects, according to intrinsic geometric measures of the ...
- research-articleJune 1995
Geometric minimization under external equivalence for implicit descriptions
Automatica (Journal of IFAC) (AJIF), Volume 31, Issue 6Pages 897–901https://doi.org/10.1016/0005-1098(94)00175-IWe consider minimality under external equivalence for linear, time-invariant, implicit (E, A, B, C) descriptions of the type Ex(t) = Ax(t) + Bu(t), y(t) = Cx(t). Necessary and sufficient conditions for external minimality have been previously given, ...
- articleFebruary 1986
Dual-lattice theorems in the geometric approach
A one-to-one correspondence is shown to exist between the lattice of all self-bounded (A, ź)-controlled invariants contained in ź and the lattice of all self-hidden (A, ź)-conditioned invariants containing ź. This correspondence, stated herein as the ...