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                                 Figure 2: Example surface patch arrangement

            3.2 Parametric Design Approach
            The modelling technique presented in this paper is based on a parametric curve generation approach
            developed  by  Harries  and  Abt  (1997)  and  has  been  successfully  utilized  for  the  generation and
            automated optimisation  of  bare  hulls  by  Harries (1998).  The  method  utilizes a  parametric curve
            generation  process  where  the  vertices  of  all  B-spline  curves  are  computed  from  a  geometric
            optimisation,  employing  fairness  criteria  as  measures  of  merit  and  capturing  global  shape
            characteristics as equality constraints. Properties of the hull, such as the shape of the centerplane curve
            or  the  shape  of  the  deck  for  instance, are  represented as  curves  created  from  form  parameters.
            Parametric curves - e.g. for the flare angle or the submerged sectional area - reflect the properties of
            the sectional shape of the ship at any longitudinal position. Once this set of so-called basic curves is
            created from the specified input, a numerical algorithm is applied to create a set of sections at selected
            locations and, subsequently, a skinning (Woodward 1988) is performed to create a surface definition
            from  the  skeleton  of  design  sections.  A  suitable  arrangement of  design  sections  is  determined
            automatically from an analysis of the basic curves.
            The geometric modelling system developed by the authors - called FRIENDSHIP-Modeler - is based
            entirely on parametric principles. The parameterisation is implemented on the basis of a user-readable,
            marine design-oriented model-file. An excerpt of a model-file is depicted in Figure 3.
            The model-file features a number of blocks representing elements from a very high modelling level,
            Le.,  levels 1 and 2 of Figure  1. In the example principle dimensions and selected properties of the
            midship section and the design waterline are displayed. The entire model-file features between 30 and
            about 150 parameters, depending on the desired detail of specification. While some of the parameters
            are mandatory for the generation process many are optional. If a parameter is not specified, either its
            value  is  set  to  a  default  or,  alternatively, a  change  in  topology  is  performed, depending on  the
            modelling context. An  example for the creation and  modification of  a  midship section is given in
            Figure 4 to Figure 7. The rule-based generation process is described in the following paragraphs.
                        // PRRDSil1.  ferry  uariation.  March  M          I

                             length    176   m        I/ to  forward  perpendicular
                             lax       1.5   MIN.length
                             lenOfPar   1.1   m
                             beam      25   m
                             draft     6.5   m
                             freeboard   12   m








                             .....
                             ...
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                                                                           I
                                 Figure 3: Part of the FRIENDSHIP model file
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