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Multiresolution representation techniques of 3D objects from range data

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Espadero J. M. , Rincon L. , Pastor L. , Rodríguez A.

2001

tom Vol. 9, nr 2

19-30

The advances realised during the last years in 3D object digitization technology have resulted in a considerable increase in the number and importance of applications that handle 3D spatial information, and in the amount of interest shown by the scientific community to the different problems involved in 3D data processing. This paper presents a comparison between two techniques for computing multiresolution shape models of 3D objects acquired as clouds of 3D points. Both of these techniques deform a mesh template over the input data, constructing the multiresolution representations using wavelet transforms. The first technique is based on a facet-based approach, while the second one uses a vertex-based approximation. The procedure is fully automated and can process data from any object with a genus equivalent to that of a sphere. An important feature of these methods is that they do not impose any restrictions on the input data. which can be provided by any type of 3D sensor. Advantages and disadvantages of both approaches are also analysed, and some experimental results are shown.

An Energy-Based Cohesion Function for Cubic Equations of State

100%

Figueira F. , Rodríguez A. , Stamateris B. , Olivera-Fuentes C.

2006

tom Vol. 80, nr 1

81-97

Acohesion function is derived for cubic equations of state of van derWaals type, based on the behaviour of the residual internal energy of pure fluids; it contains two fluid-specific constants and is therefore suitable for nonpolar and polar fluids. The characteristic constants are obtained for the van derWaals, Redlich-Kwong and Peng-Robinson equations for 846 fluids by fitting cohesion parameters computed from vapour pressures taken from the DIPPR database. Comparison with similar functions proposed in the literature shows that the new function is generally better. A corresponding states generalization is presented using the acentric and critical compressibility factors.