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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Consumers currently place increasing importance on the values that companies represent. Modern values such as transparency, benevolence to society, sustainability and fairness are becoming more relevant, as noted by many major consulting firms among which are Nielsen (2013), the World Federation of Advertisers (2013) and the Boston Consultancy Group (2013). Modern values are grounded in social, political and economic developments and represent the new values of this era. As a consequence, a company’s value to consumers no longer has to lie solely in its products and services. This new, broader scope of value may include the entire business process and organizational culture, ranging from the management’s integrity to values being found in the company’s contributions to society. Although the role of values in human behaviour has been extensively discussed in the psychology literature since the beginning of the 1900s (e.g. Feather 1995; Hofstede 1980; Olson and Maio 2003; Rokeach 1973; Schwartz 2012), limited attention has been dedicated to values in marketing literature. This was the conclusion of a systematic literature review that we conducted on this subject (Voorn et al. 2016). As a follow-up, we organized an online survey (n = 1109) to empirically investigate the role of values in the brand selection process. In this paper, we report on the relationship between values and brand purchase intentions through the concept of value congruence and in relation to several product categories representing services, durables and consumables. Overall, the results confirm the relevance of value congruence as a predictor of brand purchase, in particular in services and durables. Our study shows that companies can benefit from incorporating values into their marketing strategies, especially those values that are congruent with (higher-order) personal goals, rather than more (instrumental) category-specific values. This offers new marketing perspectives, especially for brands. Brands are – by definition – more than just one product or service, which means they can serve as an umbrella for the incorporation and propagation of new values. However, an important question remains for the brand manager: the extent to which values have an advantage over brand personality traits and functional attributes, since investing in values is not only about communication – it means that an organization needs to embody them in the very fibre of its being; otherwise it may be perceived as ‘green washing’, which can undermine brand trust.
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