# Changes between Version 200 and Version 201 of UvmatHelp

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Timestamp:
Feb 18, 2016, 4:01:35 PM (7 years ago)
Comment:

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Unmodified
 v200 Fields may be alternatively obtained on a unstructured (grid-less) set of positions. The coordinates are then described by coordinate arrays X(nb_points), Y(nb_points), Z(nb_points). The corresponding field values are then represented as variables U(nb_point),V(nb_point) for each vector component, or alternatively by V(nb_points, j, i), where i, j possibly stand for vector or tensor components. - '''Thin plate shell (tps) interpolation:''' - '''Thin plate shell (tps) interpolation:''' This is a multi-dimensional generalisation of the spline interpolation/smoothing, an optimum way to interpolate data with minimal  curvature of the interpolating function. The result at an interpolation position vector ${\bf r}$ is expressed in the form, (see ThinPlateShell). ||'''tag'''||'''dimensions'''||'''        content'''|| ||Civ1_X||nb_vec_1|| x coordinates|| ||Civ1_X||nb_vec_1||x coordinates|| ||Civ1_Y||nb_vec_1||y coordinates|| ||Civ1_Z||nb_vec_1||z coordinates (for PIV in volume)|| ||Civ1_W_tps||(nb_tps_1,nb_subdomain_1)||tps weights for z vel component|| nb_vec_1= nbre of vectors measured by PIV nb_coord=2 or 3 is the dimension of space nb_bounds=2 represents the lower and upper bound of each coordinate nb_subdomain_1 is the number of subdomqins used for patch nb_tps_1 maximum number of tps centres in subdomains For civ2, all indices _1 are replaced by _2 '''dimensions:''' * nb_vec_1= nbre of vectors measured by PIV *  nb_coord=2 or 3 is the dimension of space *  nb_bounds=2 represents the lower and upper bound of each coordinate * nb_subdomain_1 is the number of subdomqins used for patch * nb_tps_1 maximum number of tps centres in subdomains For civ2, all indices _1 are replaced by _2 - '''List of constants, old CIVx conventions:'''