摘要 |
The graphics system uses a parametric grid paradigm to accurately model complex free-form surfaces, even when the data that defines the surface is incomplete. This system utilizes input data, such as data points and cross section views of an object, to identify the locus and extent of objects and surfaces that are extant in a predefined volume. These objects and surfaces, termed elements herein, may be multiple-z in nature and may even fold back on themselves. The graphics system transforms the multiple-z elements into a single-z elements representation that accurately maps the features of the free-form elements with following interpolation into a two-dimensional parametric grid that is created in a predefined coordinate system. This reduced representation of the multiple-z elements enables the processor to manipulate the data more efficiently using conventional two-dimensional interpolation methods, yet also provides sufficient data to produce accurate representations of the multiple-z elements. The processor can manipulate the reduced data set to model structures that correspond to the free-form elements and thereby produce an idealized view of these elements, even if the input data incompletely define such elements. |