Author supplied: "This paper gives a linearised adjustment model for the affine, similarity and congruence transformations in 3D that is easily extendable with other parameters to describe deformations. The model considers all coordinates stochastic. Full positive semi-definite covariance matrices and correlation between epochs can be handled. The determination of transformation parameters between two or more coordinate sets, determined by geodetic monitoring measurements, can be handled as a least squares adjustment problem. It can be solved without linearisation of the functional model, if it concerns an affine, similarity or congruence transformation in one-, two- or three-dimensional space. If the functional model describes more than such a transformation, it is hardly ever possible to find a direct solution for the transformation parameters. Linearisation of the functional model and applying least squares formulas is then an appropriate mode of working. The adjustment model is given as a model of observation equations with constraints on the parameters. The starting point is the affine transformation, whose parameters are constrained to get the parameters of the similarity or congruence transformation. In this way the use of Euler angles is avoided. Because the model is linearised, iteration is necessary to get the final solution. In each iteration step approximate coordinates are necessary that fulfil the constraints. For the affine transformation it is easy to get approximate coordinates. For the similarity and congruence transformation the approximate coordinates have to comply to constraints. To achieve this, use is made of the singular value decomposition of the rotation matrix. To show the effectiveness of the proposed adjustment model total station measurements in two epochs of monitored buildings are analysed. Coordinate sets with full, rank deficient covariance matrices are determined from the measurements and adjusted with the proposed model. Testing the adjustment for deformations results in detection of the simulated deformations."
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From the article: Abstract Adjustment and testing of a combination of stochastic and nonstochastic observations is applied to the deformation analysis of a time series of 3D coordinates. Nonstochastic observations are constant values that are treated as if they were observations. They are used to formulate constraints on the unknown parameters of the adjustment problem. Thus they describe deformation patterns. If deformation is absent, the epochs of the time series are supposed to be related via affine, similarity or congruence transformations. S-basis invariant testing of deformation patterns is treated. The model is experimentally validated by showing the procedure for a point set of 3D coordinates, determined from total station measurements during five epochs. The modelling of two patterns, the movement of just one point in several epochs, and of several points, is shown. Full, rank deficient covariance matrices of the 3D coordinates, resulting from free network adjustments of the total station measurements of each epoch, are used in the analysis.
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Background The experiences of residents who have communication difficulties such as dysphasia are largely absent from the literature. Aim To illuminate the everyday experiences of four residents with severe communication difficulties living in a residential care setting in the Netherlands. Methodology & Methods A collective case study methodology was used. Seventy-five hours of observation, interview and documentary data was gathered over six weeks. Alternative strategies of communication were developed to enable the co-creation of dialogue between participants and researcher. For example, a participant who could not talk used intentionally created artwork to share her ideas with the researcher. Findings Participants' daily experiences were characterised by struggling against the constraints of the residential setting: having to wait, having unmet needs, experiencing vulnerability and uncertainty. Participants' communication difficulties exacerbated these constraints. Their experiences of struggling were sometimes ameliorated by significant social contact with family or particular staff members, and engaging in enjoyable activities. Occasionally the experiences of enjoying the here-and-now, and being 'seen' as a person by the other, would create beautiful moments in which truly person centred engagement would occur. These moments were neither articulated nor recorded, and were thus invisible after they had occurred. Similarly, the experiences of struggling against the constraints were neither acknowledged nor recorded. Significant experiences in the lives of these four residents were therefore invisible to others. The unifying theme representing the participants' daily experiences was: That which goes unsaid. Discussion It was necessary to develop communication strategies which would by-pass the researcher's assumptions and enable participants to introduce their own ideas and opinions. This ongoing process of co-creation of dialogue required work from, and trust between, participants and researcher. What is new? Expressly seeking the views of residents with communication difficulties Successfully using process consent with participants in this situation Using intentionally created artwork during data gathering in this context What has regional, national or international relevance? The findings indicate that people with communication difficulties may not receive optimal care in residential settings in the Netherlands. Methods are described which could be used by practitioners in their everyday work, and which show facilitators or practice developers how they can help carers to engage in more effective communication with this kind of resident. Additionally, this research contributes to the international discussion about ethical participation of vulnerable people in research.
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