英语翻译The work of WeilWeil 5 was probably the first to apply g

英语翻译
The work of Weil
Weil 5 was probably the first to apply geometrical techniques to cloth visualization in computer graphics.He represented hanging cloth as a grid of points and simulated its shape by fitting catenary curves between the hanging or constraint points (see Figure 2).
A catenary curve is the natural shape of a hanging heavy cable and has the form.
y = a cosh (x/a)
where a is the scaling factor.If two catenary curves intersect when projected on the x-z plane,as in Figure 2,a new resultant curve should be determined.Because this would require an extra computation,Weil simplified the process by removing the lower curve.
At this stage,his model consists only of a curved wire-frame that approximates the cloth's structure.A proper simulation of the shape requires the addition of surfaces,which are generated by subdividing the triangles formed by the catenary curves connecting the constraint points.
Figure 3 shows how the surfaces,and thus details of the shape,are generated by subdividing triangles.New catenary curves are fitted between these new triangles,and folds are subsequently produced by relaxing every point until an arbitrary offset position value is reached.Prior to rendering,spline curves are fitted to the surface of the cloth to make it smoother.Finally,the cloth is represented as a set of cylindrical objects and rendered by ray tracing.
Although Weil did not mention execution speed in his paper,we believe it would be fast,excluding rendering time,since it involves no complex numerical methods.The main limitation of the model is that it simulates only hanging cloth.And,of course,as a geometrical technique,it does not simulate the properties of real cloth.
(未完)

威尔的工作原理
在计算机图形工作中,威尔5可作为第一个应用几何技术于服装行业的人.他提出旋式布料可以作为点轮和模拟形状.
没分,没法做~