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1
Content available remote On the Representation of Human Motions and Distance-based Retargeting
Hengeveld Simon, Mucherino Antonio
Annals of Computer Science and Information Systems
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2021
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Vol. 25
181--189
EN
Distance-based motion adaptation leads to the formulation of a dynamical Distance Geometry Problem (dynDGP) where the involved distances simultaneously represent the morphology of the animated character, as well as a possible motion. The explicit use of inter-joint distances allows us to easily verify the presence of joint contacts, which one generally wishes to preserve when adapting a given motion to characters having a different morphology. In this work, we focus our attention on suitable representations of human-like animated characters, and study the advantages (and disadvantages) in using some of them. In the initial works on distance-based motion adaptation, a 3ndimensional vector was employed for representing the positions of the n joints of the character at a given frame. Here, we investigate the use of another, very popular in computer graphics, representation that basically replaces every joint position in the three-dimensional space with a set of three sorted Euler angles. We show that the latter can in fact be useful for avoiding some of the artifacts that were observed in previous computational experiments, but we argue that this Euler-angle representation, from a motion adaptation point of view, does not seem to be the optimal one. By paying particular attention to the degrees of freedom of the studied representations, it turns out that a novel character representation, inspired by representations used in structural biology for molecules, may allow us to reduce the character degrees of freedom to their minimal value. As a result, statistical analysis on human motion databases, where the motions are given with this new representation, can potentially provide important insights on human motions. This study is an initial step towards the identification of a full set of constraints capable of ensuring that unnatural postures for humans cannot be created while tackling motion adaptation problems.
2
Content available remote Daleko i dokładnie
Królikowski Jerzy
Geodeta : magazyn geoinformacyjny
|
2020
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nr 1
17--20
3
Content available remote A New Optimized Stochastic Approach for Multidimensional Integrals in Machine Learning
Todorov Venelin, Apostolov Stoyan, Dimov Ivan, Fidanova Stefka
Annals of Computer Science and Information Systems
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2020
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Vol. 21
337--340
EN
Stochastic techniques have been developed over many years in a range of different fields, but have only recently been applied to the problems in machine learning. A fundamental problem in this area is the accurate evaluation of multidimensional integrals. An introduction to the theory of the stochastic optimal generating vectors has been given. A new optimized lattice sequence with a special choice of the optimal generating vector have been applied to compute multidimensional integrals up to 30-dimensions. Clearly, the progress in the area of machine learning is closely related to the progress in reliable algorithms for multidimensional integration.
4
Content available remote A Protocol of Mutual Exclusion for DSM Based on Vectors of Global Timestamps
Czaja L.
Fundamenta Informaticae
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2018
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Vol. 157, nr 4
359--370
EN
A new protocol using vectors of global timestamps for mutual exclusion in systems with Distributed Shared Memory (DSM) is described and some of its properties are proved.
5
Content available Vectors in school mathematics
Jędrzejewski J., Kostrzewski T.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2015
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Vol. 20
9--13
EN
Vectors have several meanings in the science. Mathematicians, physicists and other scientists make use of the notion of a vector. The notions they make use of are different in different subjects. Here we present different meanings of vectors and give some hints how to understand them in different subjects of science.
6
Content available remote On the almost sure central limit theorems in the joint version for the maxima and minima of some random variables
Dudziński M., Furmańczyk K.
Demonstratio Mathematica
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2008
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Vol. 41, nr 3
705-722
EN
Let: {Xi} be a sequence of r.v.'s, and: Mn := max (X1,..., Xn), mn := min (X1,..., Xn). Our goal is to prove the almost sure central limit theorem for the properly normalized vector {Mn,mn}, provided: 1) {Xi} is an i.i.d. sequence, 2) {Xi} is a certain standardized stationary Gaussian sequence.
7
On the reconstruction of the current state of the linear difference-differential system with commensurable delays
Khartouski V.
Systems Science
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2003
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Vol. 29, nr 4
55-67
EN
In the present paper, we consider the problem of reconstruction of the current state of the difference-differential system with commensurable delays. The results obtained are used for the reconstruction of the current states of linear retarded partial parabolic differential equation.
8
On the performance of high-gain residuals for detecting faults in a pipeline system
Shields D.N.
Systems Science
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2003
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Vol. 29, nr 2
5-16
EN
A theoretical class of nonlinear systems is considered. An n-dimensional pipeline system is examined, as an example system, for investigating the effectiveness of a high-gain observer-based residual for detecting faults. Detailed conditions are given for the investigation of residual effectiveness, such as selection of operating points, control inputs, sensor faults, component faults, fault positions and observer eigenvalues. Then, for various values of n, defined fault types and defined fault positions, the observer-residual performance is noted and characteristics are derived and compared. Qualitative and quantitative evidence in graphical and table form shows, in several ways, how the performance and effectiveness of observer-based residuals change as n, and system complexity, increases.
9
Application of uncertain variables to a project management under uncertainty
Bubnicki Z.
Systems Science
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2003
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Vol. 29, nr 2
65-79
EN
The paper concerns task and resource allocation in a complex of operations which may be considered as a part of the knowledge-based project management system. The brief overview of concepts and results concerning the allocation problem under uncertainty described by uncertain variables is presented. An application of two-level decomposition of the complex and the allocation taking into account uncertain and random parameters in the description of the operations are discussed. Two simple examples illustrate the approach presented.
10
Feedback holdability of singular discrete-time linear systems
Kaczorek T.
Systems Science
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2000
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Vol. 26, nr 4
25-37
EN
The feedback holdability problem for singular discrete-time linear systems is considered. Conditions are established for the existence of solutions to the following three problems for singular system (1) with regular pencil (E, A). Problem 1: find a gain matrix K such that the closed-loop trajectory is inside the nonnegative orthant R+n. Problem 2: find a gain matrix K such that the state vector xi of the closed-loop system xi = 0 for i greater than or equal k - 1, k = 1,...,n. Problem 3: find a gain matrix K such that ui = Kxi ∈ R+m and the trajectory of closed-loop system is inside R+n
11
Content available remote Podstawy mnogościowe przestrzeni wektorowej wielomianów symetrycznych wielu zmiennych w notacji spektralnej : zarys teorii
Piwowarczyk T.
Czasopismo Techniczne. Elektrotechnika
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2000
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R. 97, z. 4-E
61--79
EN
All symmetric polynomials of multiple variables, with the variables belonging to the fixed, final set, are the elements of the vector space of infinite dimension. The vector space contains numerous finite subspaces. These subspaces are subjected to a standard analysis. Set theory classifications and ordering relations indicate how to choose the basis. The investigation of transient matrices reveals sets of algebra identities. The unlimited set of these identities is particularly useful when it comes to engineering applications.
12
Content available remote Six-dimensional Landau inequalities
Rassias J.
Demonstratio Mathematica
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1999
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Vol. 32, nr 2
413-431
13
Interval eigenvalue problems - new concepts
Skrzypczyk J., Witek H.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
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1998
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z. 7
329-324
PL
W pracy przedstawiono nowe pojęcia i wyniki dotyczące metodologii analizy zagadnień związanych z wartościami własnymi i wektorami i własnymi macierzy rzeczywistych o współczynnikach interwałowych postaci A = { A ; AC - A < A < A C + A } , gdzie A jest miarą niepewności . Przedstawione ujęcie jest prawdopodobnie najprostszym sposobem aproksymacji w modelowaniu drgań i ich własności w systemach o parametrach niepewnych.
EN
In the paper, we are concerned with interval - oriented methodology to mode l uncertaintie s o f eigenvalues , and eigenvectors of an nx n interva l rea l matrix A = { A ;AC - A< A< AC + A }, where A i s a measure of uncertainty. Presented methodology is probably the simples t way to model an d to approximate vibration properties of systems with uncertain parameters.
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