A geometric primitive representing a triangle by its vertices as points in some unspecified frame, and a collection of triangle-related utility methods.
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| | Triangle_ () |
| | Construct an uninitialized Triangle object; the vertices will be garbage. More...
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| | Triangle_ (const Vec3P &v0, const Vec3P &v1, const Vec3P &v2) |
| | Construct a triangle from its vertices. More...
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| | Triangle_ (const Vec3P *vertices) |
| | Construct a triangle from vertices stored in array which is presumed to contain at least three points. More...
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| | Triangle_ (const Vec3P **vertexPointers) |
| | Construct a triangle from an indirect list of vertices stored in array which is presumed to contain at least three pointers to points. More...
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| Triangle_ & | setVertex (int i, const Vec3P &p) |
| | Change one vertex of this triangle. More...
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| Triangle_ & | setVertices (const Vec3P &v0, const Vec3P &v1, const Vec3P &v2) |
| | Change the vertices of this triangle. More...
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| Triangle_ & | setVertices (const Vec3P *vertices) |
| | Change the vertices of this triangle, taking the new ones from an array which is presumed to contain at least three points. More...
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| const Vec3P & | getVertex (int i) const |
| | Access a vertex by index. Order is the same as construction. More...
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| Vec3P & | updVertex (int i) |
| | Get writable access to a vertex by index. Order is the same as construction. More...
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| const Vec3P & | operator[] (int i) const |
| | Access a vertex by indexing the triangle. More...
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| Vec3P & | operator[] (int i) |
| | Get writable access to a vertex by indexing the triangle. More...
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| LineSeg_< P > | getEdge (int i) const |
| | Return a LineSeg_ containing an edge of this triangle, with edges numbered in a counterclockwise direction so that edge0 is v0v1, edge1 is v1v2, and edge2 is v2v0. More...
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| Vec3P | findPoint (const Vec2P &uv) const |
| | Return a point on the triangle's face given by its (u,v) coordinates. More...
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| Vec3P | findCentroid () const |
| | Return the centroid point on the triangle's face; this is the same as findPoint(1/3,1/3) but faster. More...
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| UnitVec3P | calcUnitNormal () const |
| | Calculate the unit normal to the triangle face taking the vertices in counterclockwise order. More...
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| Sphere_< P > | calcBoundingSphere () const |
| | Calculate the smallest bounding sphere enclosing the three vertices of this triangle. More...
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| RealP | calcArea () const |
| | Return the area of this triangle. More...
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| RealP | calcAreaSqr () const |
| | Return the square of the area of this triangle. More...
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| Vec3P | findNearestPoint (const Vec3P &position, Vec2P &uv) const |
| | Given a location in space, find the point of this triangular face that is closest to that location. More...
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| bool | intersectsRay (const Vec3P &origin, const UnitVec3P &direction, RealP &distance, Vec2P &uv) const |
| | Determine whether a given ray intersects this triangle. More...
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| bool | overlapsTriangle (const Triangle_< P > &other) const |
| | Determine yes/no whether this triangle overlaps another one. More...
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| bool | intersectsTriangle (const Triangle_< P > &other, LineSeg_< P > &seg, bool &isCoplanar) const |
| | Determine whether this triangle intersects another one, and if so then if they are not coplanar return the line segment representing their intersection. More...
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template<class P>
class SimTK::Geo::Triangle_< P >
A geometric primitive representing a triangle by its vertices as points in some unspecified frame, and a collection of triangle-related utility methods.
We support a u-v barycentric parameterization for the triangle.
1.8.8 
