ImplicitSurface.h

Note

The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.

class ImplicitSurface

This class is used to define a surface via a function f(x) -> R, where for a point y on the surface f(y) = 0. WARNING: This class is experimental and likely to change.

ImplicitSurface(Sphere s, std::string type)

Create an isosurface

Arguments

s (Sphere)

Bounding sphere for surface.

type (std::string)

Isosurface type. One of “manifold”, “manifold_with_boundary” or “non_manifold”.

Example

IsoSurface isosurface(Sphere(Point(0.0, 0.2, 0.4), 1.0),
                      "manifold_with_boundary");

double operator()(const Point &point) const = 0

Return value of isosurfacce function. This function is overloaed by the user. For closed volumes, the function should evaluate to < 0 on the interior.

Arguments

point (Point)

The point at which to evaluate the isosurface function. or “non_manifold”.

Returns

double

Isosurface function value.

double f0(const Point &point) const

Signed distance function surface. If f0(p) = 0, the point p is possibly on the surface, which case ImplicitSurface::f1 can be called to check.

double f1(const Point &point) const

For a point for which f0 approx 0, return <= is point is on is on the surface. Can be used for creating open surfaces by discarding with any artificial closure.