在Open CASCADE中,区分内环和外环主要基于面的参数域内环线方向的定义。具体来说,在面的参数域内,沿着环线正方向前进时,如果左侧为面内、右侧为面外,那么该环线被视为外环;反之,如果左侧为面外、右侧为面内,那么该环线被视为内环。
这种定义方式有助于在拓扑面中进行准确的几何计算和分析,特别是在处理复杂的三维模型时。通过正确区分内环和外环,可以确保在进行布尔运算、求交、裁剪等操作时获得正确的结果。
在Open CASCADE中,获取面的内外环线通常涉及以下步骤:
获取面上的所有环线:首先,需要从拓扑面(TopoDS_Face)中获取其所有的环线(TopoDS_Wire)。这些环线是构成面的边界。
识别外环线:在获取到所有环线后,需要识别出哪些环线是外环线。这通常基于环线的方向进行判断。在参数域内,如果环线是逆时针方向的,那么它被认为是外环线。
计算有向面积:为了更准确地判断环线的内外,可以使用向量叉乘算法计算环线的有向面积。在平面上,逆时针方向的环线面积为正,而顺时针方向的环线面积为负。通过比较环线面积的正负,可以确定环线是外环还是内环。
去除外环线:一旦识别出外环线,就可以从所有环线集合中去除外环线,从而得到所有的内环线。
#include <gp_Circ.hxx>
#include <gp_Pln.hxx>
#include <GC_MakeCircle.hxx>
#include <BRepBuilderAPI_MakeEdge.hxx>
#include <TopoDS_Wire.hxx>
#include <BRepBuilderAPI_MakeWire.hxx>
#include <TopoDS_Face.hxx>
#include <BRepBuilderAPI_MakeFace.hxx>
#include <BRepAlgoAPI_Cut.hxx>
#include <ShapeAnalysis.hxx>
#include <TopoDS.hxx>
#include <TopTools_IndexedMapOfShape.hxx>
#include <TopExp.hxx>
#include"Viewer.h"
int main(int argc, char* argv[])
{
gp_Pln aPlane;
gp_Circ aCircle1(gp::XOY(), 1.0);
gp_Circ aCircle2(gp::XOY(), 1.0);
gp_Circ aCircle3(gp::XOY(), 1.0);
aCircle1.SetLocation(gp_Pnt(3.0, 3.0, 0.0));
aCircle2.SetLocation(gp_Pnt(7.0, 3.0, 0.0));
aCircle3.SetLocation(gp_Pnt(3.0, 7.0, 0.0));
BRepBuilderAPI_MakeEdge anEdgeMaker1(aCircle1);
BRepBuilderAPI_MakeEdge anEdgeMaker2(aCircle2);
BRepBuilderAPI_MakeEdge anEdgeMaker3(aCircle3);
BRepBuilderAPI_MakeWire aWireMaker1(anEdgeMaker1.Edge());
BRepBuilderAPI_MakeWire aWireMaker2(anEdgeMaker2.Edge());
BRepBuilderAPI_MakeWire aWireMaker3(anEdgeMaker3.Edge());
BRepBuilderAPI_MakeFace aFaceMaker(aPlane, 0.0, 10.0, 0.0, 10.0);
if (aWireMaker1.IsDone())
{
TopoDS_Wire aWire1 = aWireMaker1.Wire();
aWire1.Reverse();
aFaceMaker.Add(aWire1);
}
if (aWireMaker2.IsDone())
{
TopoDS_Wire aWire2 = aWireMaker2.Wire();
aWire2.Reverse();
aFaceMaker.Add(aWire2);
}
if (aWireMaker3.IsDone())
{
TopoDS_Wire aWire3 = aWireMaker3.Wire();
aWire3.Reverse();
aFaceMaker.Add(aWire3);
}
// 获取外环线
TopoDS_Face myf = BRepBuilderAPI_MakeFace(aFaceMaker);
TopoDS_Wire outer_wire = ShapeAnalysis::OuterWire(myf);
// 获取所有环线
TopTools_IndexedMapOfShape wmap;
TopExp::MapShapes(myf, TopAbs_WIRE, wmap);
// 过滤得到内环线
std::vector<TopoDS_Wire> inner_wires;
for (int j = 1; j <= wmap.Extent(); j++)
{
if (!wmap(j).IsSame(outer_wire))
{
// 保留与外环不相等的环,即内环线
inner_wires.emplace_back(TopoDS::Wire(wmap(j)));
}
}
Viewer vout(50, 50, 500, 500);
vout << myf;
vout << outer_wire;
vout << inner_wires[0];
vout << inner_wires[1];
vout << inner_wires[2];
vout.StartMessageLoop();
return 0;
}
最后,有个报错的问题
此语句报错
inner_wires.emplace_back(wmap(j));
修改为下面的语句后解决
inner_wires.emplace_back(TopoDS::Wire(wmap(j)));