Modeling Algorithms Fillets and Chamfers

造型算法——倒圆与倒角

eryar@163.com

一、倒圆Fillet Constructor

1. BRepFilletAPI_MakeFillet

使用类BRepFilletAPI_MakeFillet来为形状添加倒圆。倒圆是用光滑面来代替角边。使用方法如下:

l 首先,给定一个需要倒圆的形状;

l 然后,通过Add方法来添加描述倒圆的参数,倒圆所需的参数包括一个边edge和半径radius。当然,边edge必须由两个面face所共有。倒圆会将原来的边替换成光滑的圆面过渡。

l 最后,通过询问结果来执行倒圆操作。

注:添加一个倒圆两次并不会出错,因为只保留了最后一次添的倒圆。

Figure 1. Filleting two edges using radius r1 and r2

下面给出一个将创建一个倒圆的长方体,其尺寸分别为abc,倒圆半径r

Figure 2. Filleting a box

代码如下所示,创建上图所示的倒圆的长方体的参数分别为:

a = 100b = 60c = 80r = 10

#include <TopoDS_Shape.hxx>
#include <TopoDS.hxx>
#include <BRepPrimAPI_MakeBox.hxx>
#include <TopoDS_Solid.hxx>
#include <BRepFilletAPI_MakeFillet.hxx>
#include <TopExp_Explorer.hxx> TopoDS_Shape FilletedBox(const Standard_Real a,
const Standard_Real b,
const Standard_Real c,
const Standard_Real r)
{
TopoDS_Solid Box = BRepPrimAPI_MakeBox(a,b,c);
BRepFilletAPI_MakeFillet MF(Box); // add all the edges to fillet
TopExp_Explorer ex(Box,TopAbs_EDGE); while (ex.More())
{
MF.Add(r,TopoDS::Edge(ex.Current()));
ex.Next();
}
return MF.Shape();
}

如下图所示为创建一个半径变化的倒圆操作:

Figure 3. Evolutive radius fillet

Figure 4. Evolutive radius fillet a box

程序代码如下所示:

  1:     TopoDS_Shape theBox = BRepPrimAPI_MakeBox(200, 200, 200);
  2:     BRepFilletAPI_MakeFillet Rake(theBox);
  3:     ChFi3d_FilletShape FSH = ChFi3d_Rational;
  4:     Rake.SetFilletShape(FSH);
  5:
  6:     TColgp_Array1OfPnt2d parAndRad(1, 6);
  7:     parAndRad.SetValue(1, gp_Pnt2d(0, 10));
  8:     parAndRad.SetValue(2, gp_Pnt2d(50, 20));
  9:     parAndRad.SetValue(3, gp_Pnt2d(70, 20));
 10:     parAndRad.SetValue(4, gp_Pnt2d(130, 60));
 11:     parAndRad.SetValue(5, gp_Pnt2d(160, 30));
 12:     parAndRad.SetValue(6, gp_Pnt2d(200, 20));
 13:
 14:     TopExp_Explorer ex(theBox, TopAbs_EDGE);
 15:     Rake.Add(parAndRad, TopoDS::Edge(ex.Current()));
 16:     TopoDS_Shape evolvedBox = Rake.Shape();
 17: 

2. BRepFilletAPI_MakeFillet2d

BRepFilletAPI_MakeFillet2d is used to construct fillets and chamfers on planar faces.

我按照示例代码运行了一下程序,结果程序总是崩溃,其操作的效果不得而知,所以也得不到真实的效果图。将其程序代码列出如下所示:

  1: #include “BRepPrimAPI_MakeBox.hxx”
  2: #include “TopoDS_Shape.hxx”
  3: #include “TopExp_Explorer.hxx”
  4: #include “BRepFilletAPI_MakeFillet2d.hxx”
  5: #include “TopoDS.hxx”
  6: #include “TopoDS_Solid.hxx”
  7:
  8: TopoDS_Shape FilletFace(const Standard_Real a,
  9:     const Standard_Real b,
 10:     const Standard_Real c,
 11:     const Standard_Real r)
 12: {
 13:     TopoDS_Solid Box = BRepPrimAPI_MakeBox (a,b,c);
 14:     TopExp_Explorer ex1(Box,TopAbs_FACE);
 15:
 16:     const TopoDS_Face& F = TopoDS::Face(ex1.Current());
 17:     BRepFilletAPI_MakeFillet2d MF(F);
 18:     TopExp_Explorer ex2(F, TopAbs_VERTEX);
 19:
 20:     while (ex2.More())
 21:     {
 22:         MF.AddFillet(TopoDS::Vertex(ex2.Current()),r);
 23:         ex2.Next();
 24:     }
 25:
 26:     // while...
 27:     return MF.Shape();
 28: }
 29: 

二、倒角Chamfer Constructor

1BRepFilletAPI_MakeChamfer

BREpFilletAPI_MakeChamfer的使用方法与BRepFilletAPI_MakeFillet大致类似,但稍有不同:

a) The surfaces created are ruled and not smooth;

b) The Add syntax for selecting edges requires one or two distances, one edge and one face(contiguous to the edge);

Add(dist, E, F);

Add(d1, d2, E, F); with d1 on the face F.

Figure 5. Creating a chamfer

Figure 6. The box with chamfers

程序代码如下所示:

  1: TopoDS_Shape theBox = BRepPrimAPI_MakeBox(130,200,170);
  2: BRepFilletAPI_MakeChamfer MC(theBox);
  3: TopTools_IndexedDataMapOfShapeListOfShape M;
  4: TopExp::MapShapesAndAncestors(theBox,TopAbs_EDGE,TopAbs_FACE,M);
  5:
  6: for (Standar1d_Integer i;i<M.Extent();i++)
  7: {
  8:     TopoDS_Edge E = TopoDS::Edge(M.FindKey(i));
  9:     TopoDS_Face F = TopoDS::Face(M.FindFromIndex(i).First());
 10:     MC.Add(15,15,E,F);
 11: }
 12:
 13: TopoDS_Shape ChanfrenedBox = MC.Shape();
 14: 

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