Page 341 - Practical Design Ships and Floating Structures
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              surfixe model through conceptual design, preliminaty  design, and production design, it is necessary
              for a hull form CAD system to provide following features.

              Wireframe Cross Fairing: The cross fairing is a basic and essential feature in a wireframe based hull
              design system. In the wireftame model, if one of crossing hull limes such as a station lii or a waterline
              is modified for fairing, the other line should be altered to maintah the crossing points, this process is
              called 'cross  fairing'  in hull  form design.  In addition to the crossing lines,  all other lines that are
              affected by them should also be rearranged automatically.
              Direct Conversion from wireframe model to surface model: Hull form designers are used to dealing
              with lines plan represented by a wirefkme model, and may estimate the jmformance of a ship based
              on a wireframe model. On the other hand, they also require that the hull form surfaces be displayed to
              check the surface fairness, Therefore, it is desirable to be able to perfom immediate conversion from
              the wireframe model  to the surface model  to implement any necessary change into the wireframe
              model even at the early design stages of the hull form.
              Correct points  ordering during wireframe  generation:  When  a new  hull  line  is  generated  by
              intersecting a wirefixme model with a certain plane, an intersection points ordering problem always
              occurs. Therefore, it is important to have the correct point ordering, especially with a complex multi-
              hull form such as twin skeg hull.

              In this research, a hull form CAD system called 'EzHULL' was developed to perform the above tasks.
              Cross fairing  features and conversion Erom wirewe model to surface model will be the main focus
              of this paper, and we will also discuss how these features help to significantly reduce time and cost of
              hull form design.


              2  DATA STRUCTURE OF EZHULL

              The data  structure of  EzHULL  is  composed  of the  wirehe and surface models that mutually
              represent the hull form. The wireframe data struchue that efficiently supports the cross fairing is called
              X-topology'.  The non-manifold data structure is used for storing the surface model produced from the
              wirefiame model.
              2.1  X-toplogv Data Structure

              The X-topology is a basic data structure for hull form design using the wirehe model. Hull form
              designers usually perform cross fairing of the wirehme model by modifying the characteristic hull
              lines, such as the station lime and the waterlime. If a fitting point is moved on a waterline, they expect
              the waterline to be changed as a single unit curve and want the station lines crossing the waterline to
              move in concert. In the non-manifold data structure, however, a single waterline and station line are
              subdivided into several segments to represent edges that form face boundaries. Thus, in the EzHULL,
              a data stcucture that can manipulate hull lis as a suitable unit and support effective cross fairing of
              wireframe model has been developed and named  'X-topology',  in addition to the non-manifold data
              structure for the surface model.
              The X-topology has a hierarchical structure, which is similar to the non-manifold data structure, as
              shown in Fig 1. The X-edge',  which represents hull limes of the wirefiame model, is a base element of
              X-topology, and  the  collection of the  X-edge  forms the  'X-surface'  that  represents the  imaginary
              surface. There are three types of X-edge, the B-line, S-line, and R-lime.  The B-line mainly represents
              the boundary curves, such as the deck line, the profile line, the midship section line, and the side- and
              bottom tangent line, whereas the Wine represents the interior form of the X-surface,  and includes the
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