shengweiguo198 / transfinite

A library for evaluating transfinite surfaces.

Transfinite library

A library for evaluating transfinite surfaces.

Basic geometry is provided by the libgeom library (included as a submodule).

Currently the following transfinite surfaces are supported:

• Side-based (SB) patch (a variation of Kato's patch)
• Corner-based (CB) patch (a variation of the Charrot-Gregory patch)
• Generalized Coons (GC) patch
• Composite Ribbon (CR) patch
• Midpoint (MP) patch
• Midpoint Coons (MC) patch
• C0 Coons patch
• Elastic patch (see M. Sabin: Further transfinite surface developments, 1998)

Some control point based surfaces are also contained in the library:

• Generalized Bézier (GB) patch
• Corner-based variation of the GB patch
• S-patch

There are also a couple of discrete surfaces:

• Harmonic patch
• Biharmonic patch

... and also some experimental representations.

Usage example is provided in src/test/test.cc, but it follows the pattern

    CurveVector curves; // std::vector of (shared pointers to) B-spline curves
    // fill curves ...
    SurfaceMidpointCoons surf;
    surf.setCurves(curves);
    surf.setupLoop();
    surf.update();
    auto p = surf.eval({0.1, 0.3}); // evaluates the surface at a given (2D) domain point
    auto mesh = surf.eval(30);
    // mesh is a triangle mesh with 30 triangles on each sides