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Open CASCADE Technology » Module ModelingData » Toolkit TKG3d » Package Geom
Geom_Surface Class Reference
Describes the common behavior of surfaces in 3D
space. The Geom package provides many
implementations of concrete derived surfaces, such as
planes, cylinders, cones, spheres and tori, surfaces of
linear extrusion, surfaces of revolution, Bezier and
BSpline surfaces, and so on.
The key characteristic of these surfaces is that they
are parameterized. Geom_Surface demonstrates:
- how to work with the parametric equation of a
surface to compute the point of parameters (u,
v), and, at this point, the 1st, 2nd ... Nth derivative,
- how to find global information about a surface in
each parametric direction (for example, level of
continuity, whether the surface is closed, its
periodicity, the bounds of the parameters and so on), and
- how the parameters change when geometric
transformations are applied to the surface, or the
orientation is modified.
Note that all surfaces must have a geometric
continuity, and any surface is at least "C0". Generally,
continuity is checked at construction time or when the
curve is edited. Where this is not the case, the
documentation makes this explicit.
Warning
The Geom package does not prevent the construction of
surfaces with null areas, or surfaces which self-intersect.
#include <Geom_Surface.hxx>
本文详细介绍了Geom包中的Geom_Surface类,它用于描述3D空间中表面的常见行为。包括如何使用参数方程计算点坐标、导数,如何获取表面的全局信息(如连续性、闭合性、周期性等),以及几何变换对参数的影响。

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