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Artykuł dotyczy sposobu wskazania rodzaju ruchu przy pomocy przetwarzania i analizy obrazu cyfrowego na przykładzie sekwencji przemieszczania się pyłu węglowego. Prezentowane podejście ma poszerzyć perspektywę zastosowania systemów wizyjnych w kontroli procesów spalania, podnosząc tym samym ich efektywność. Wyniki pokazały właściwe odzwierciedlenie rzeczywistego ruchu paliwa na dyskretnej powierzchni pól wektorowych przy zastosowaniu metody przepływu optycznego. Dołączenie metody numerycznej, do analizy pól wektorowych, pozwoliło wyznaczyć sześć rodzajów ruchu. Obserwacje, obejmujące fragmentu badanego zjawiska, wyczerpują wszystkie przypadki oceny przemieszczenia cząstek paliwa.
The article refers to the method of indicating the type of movement by means the digital image processing and analysis on the example of a coal dust movement sequence. Presented approach is broaden the perspective of use the vision systems in the combustion processes control, thus increasing their effectiveness. The results showed a correct reflection of the real fuel movement in the discrete surface of the vector fields using the optical flow method. Including a numerical method for vector field analysis allowed to indicate six types of movement. Research, covering a fragment of the studied phenomenon, exhaust all cases of assessing the fuel particles displacement.
Content available remote Interactive visualization of magnetic fields
In this paper, we present an interactive method for visualizing three-dimensional nonlinear, unsteady vector fields. Visualization of three-dimensional electromagnetic fields is a difficult issue because the user has to be able to assess the distribution of the vector in the context of complex geometry. The authors propose a novel scheme to visualize the flow of vectors.
The article is devoted to a motion control problem for a differentially driven mobile robot in the task of trajectory tracking in the presence of skid-slip effects. The kinematic control concept presented in the paper is the Vector Field Orientation (VFO) feedback approach with a nonlinear feed-forward skid-slip influence compensation scheme. The VFO control law guarantees asymptotic convergence of the position tracking error to zero in spite of the disturbing influence of skid-slip phenomena. The paper includes a control law design description, stability and convergence analysis of a closed-loop system, and practical verification of the proposed control concept. The experimental results illustrate control quality obtained on a laboratory setup equipped with vision feedback, where the Kalman filter algorithm was used in order to practically estimate skid-slip components.
This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of way-points which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any interpolation of way-points leading to simplified task description and its subsequent realization. The motion planning as well as the motion realization stage are based on the Vector-Field-Orientation (VFO) approach applied here to a new task. The unique features of the resultant VFO control system, namely, predictable vehicle transients, fast error convergence, vehicle directing effect together with very simple controller parametric synthesis, may prove to be useful in practically motivated motion tasks.
We construct some extension [...] of the flow operator [...] fibred frame bundle functor. Next using operator [...] we present some construction of general connections[...] depending on classical (not necessarily projectable) linear connections V on Y.
Content available remote Some natural operations on functions
Let F : FMm &rarr FM be a bundle functor. We describe all FMm,n- natural operators L transforming functions f : Y &rarr R, Y is an element of Obj(FMm,n), into functions L(f) : FY &rarr R.
Content available remote A field of velocity vector in control area of entry into the intersection
Using the concept of a ship’s domain at a waterway intersection, the ships’ traffic equations were determined, describing a situation where they pass each other at the intersection without collision. A field of limit velocity vectors was established, at which the vessel can pass through the intersection without collision. On the basis of designated vector fields, the control area of entry of the subordinated vessel into the intersection was defined.
Content available remote On some Gołąb connections
The aim of this paper is to study the notion of almost 1-principal Gołąb connections. We characterize some deformation algebras having the same principal vector fields. The last section is devoted to the study of some Gołąb connections on hypersurfaces.
For natural numbers n > 2 and r > 1 all natural operators T* (Jr(*2T*)) lifting vector fields from n-manifolds M into 1-forms on Jr(*2T*) are classified. It's proved that the set of all natural operators A.
The geometric structure of characteristic surfaces related with partial differential equations of first and higer orders is studied making use the vector field technique on hypersurfaces. It is shown, that corresponding characteristics are defined uniquely up to some smooth tensor fields, thereby supplying additional information about the suitable set of their solutions. In particular, it may be very useful for studying asymptotic properties of solutions to our partial differential equations under some boundary conditions.
Content available remote On the leaves of a prefoliation of a K-differential space
The definition of a prefoliation (M,F) of a K-differential space and the theorem about regularity of the inclusion of a leaf of a prefoliation are reminded. An example of a pair (M, F) of SC-differential spaces with the same set of points, which shows that even if the identity of .M is an immersion F -> M and (top M, top F) is a topological foliation in the sense of Ehresmann then (M, F) has not to be a prefoliation, is given. In the end, we show that if L is a proper leaf of a prefoliation (M, F) then the both structures of a K-differential spaces coincide on L.
Content available remote On some right invertible operators in differential spaces
In this paper we consider the right invertibility problem of some linear operators defined on the algebra of smooth function on a differential space.
For any product-preserving bundle functor F denned on the category F2 M of fibered-fibered manifolds, we determine all natural operators transforming projectable-projectable vector fields on Y 6 Ob(F2M) to vector fields on FY. We also determine all natural affinors on FY and prove a composition property analogous to that concerning Weil bundles.
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