Wyniki wyszukiwania - BazTech

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Immersive rehabilitation monitoring system supported with Augmented Reality

Wojciechowski A., Majewski A., Poreda T., Napieralski P., Nowak P.

Machine Graphics and Vision

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2015

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Vol. 24, No. 1/4

3--15

EN

Medical rehabilitation treatment is of vital importance to all those who have experienced limb impairments due to unexpected accidents or geriatric dysfunctions. However, due to extensive government savings, the access to regular rehabilitation services is becoming increasingly difficult. This paper presents a low-cost, immersive augmented reality passive medical rehabilitation system exploiting depth-based limb joint tracking, supported with the Microsoft Kinect controller. Depth-based augmented reality solutions, though hardware affordable, suffer from miscellaneous problems. Duality of reference coordinate systems for RGB and depth sensors entails imprecision of limb joint positions measurement, whereas reliable limbs rehabilitation and their motility supervision require precise joints positioning and reliable visual feedback from the system. The present solution proposes the use of visual markers overlaid on the patient's image as an interface layer and two complementary sensors for depth-based spatial limbs tracking. It organizes the visual aspect of the rehabilitation stand, helps to immerse the patients into the rehabilitation process by providing them with a way to follow their achievements, while also monitoring the correctness of exercise performance.

2

On density with respect to equivalent measures

Bartosiewicz A., Filipczak M., Poreda T.

Demonstratio Mathematica

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2010

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Vol. 43, nr 1

21-28

EN

In the paper there is disscussed a notion of a density point of a Borel subset of a metric space with respect to a Borel measure(mikro) . There are considered densities with respect to equivalent measures and density with respect to the limit of a sequence of equivalent measures.

3

The Cauchy problem for certain generalized differential equations of second order

Poreda T., Szadkowska A.

Demonstratio Mathematica

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2002

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Vol. 35, nr 4

773-782

EN

The present paper concerns some generalized differential equations of second order for mappings from a subset of Banach space into a Banach space. The subject matter refers to studies of generalized differential equations of the first order submitted in [4]. Let X,Y be Banach spaces over the field R and let U, V be open subsets of X and V, respectively. Let h1, h2 be mappings from U into X. In this paper we study the Cauchy problem D2f(x)(h2(x)) = F{x, Df(x)(h1(x))), x € U for mappings from a subset of a Banach space into a Banach space, which are defined in C class, at a neighbourhood of nonsingular point (that is, at a neighbourhood of such point xo for whichh1(xo)= 0 and h2(xo= 0).