diff options
Diffstat (limited to 'src/3rdparty/libdepixelize/priv/curvature.h')
-rw-r--r-- | src/3rdparty/libdepixelize/priv/curvature.h | 115 |
1 files changed, 115 insertions, 0 deletions
diff --git a/src/3rdparty/libdepixelize/priv/curvature.h b/src/3rdparty/libdepixelize/priv/curvature.h new file mode 100644 index 0000000..3a1af41 --- /dev/null +++ b/src/3rdparty/libdepixelize/priv/curvature.h @@ -0,0 +1,115 @@ +/* This file is part of the libdepixelize project + Copyright (C) 2013 Vinícius dos Santos Oliveira <vini.ipsmaker@gmail.com> + + GNU Lesser General Public License Usage + This library is free software; you can redistribute it and/or modify it + under the terms of the GNU Lesser General Public License as published by the + Free Software Foundation; either version 2.1 of the License, or (at your + option) any later version. + You should have received a copy of the GNU Lesser General Public License + along with this library. If not, see <http://www.gnu.org/licenses/>. + + GNU General Public License Usage + Alternatively, this library may be used under the terms of the GNU General + Public License as published by the Free Software Foundation, either version + 2 of the License, or (at your option) any later version. + You should have received a copy of the GNU General Public License along with + this library. If not, see <http://www.gnu.org/licenses/>. + + This library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. +*/ + +#ifndef LIBDEPIXELIZE_TRACER_CURVATURE_H +#define LIBDEPIXELIZE_TRACER_CURVATURE_H + +#include "point.h" +#include <cmath> + +namespace Tracer { + +/** + * Curvature function for a quadratic Bézier curve where the points are know. + * Its main use is to numerically integrate the curvature function and then + * smooth the B-Splines generated by the Kopf-Lischinski algorithm. + */ +template<class T> +struct Curvature +{ + Curvature(Point<T> p0, Point<T> c1, Point<T> p2) : + p0(p0), c1(c1), p2(p2) + {} + + T operator()(T t) const; + + /** + * The derivative of x + */ + T xPrime(T t) const; + + /** + * The derivative of y + */ + T yPrime(T t) const; + + /** + * The second derivative of x + */ + T xPrimePrime() const; + + /** + * The second derivative of y + */ + T yPrimePrime() const; + + Point<T> p0, c1, p2; +}; + +template<class T> +T Curvature<T>::operator()(T t) const +{ + T num = xPrime(t) * yPrimePrime() - yPrime(t) * xPrimePrime(); + T den = std::pow(xPrime(t) * xPrime(t) + yPrime(t) * yPrime(t), T(3) / 2); + return num / den; +} + +template<class T> +T Curvature<T>::xPrime(T t) const +{ + return (1-t)*2*(c1.x-p0.x) + t*2*(p2.x-c1.x); +} + +template<class T> +T Curvature<T>::yPrime(T t) const +{ + return (1-t)*2*(c1.y-p0.y) + t*2*(p2.y-c1.y); +} + +template<class T> +T Curvature<T>::xPrimePrime() const +{ + return 2 * (p2.x - 2*c1.x + p0.x); +} + +template<class T> +T Curvature<T>::yPrimePrime() const +{ + return 2 * (p2.y - 2*c1.y + p0.y); +} + +} // namespace Tracer + +#endif // LIBDEPIXELIZE_TRACER_CURVATURE_H + +/* + Local Variables: + mode:c++ + c-file-style:"stroustrup" + c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) + indent-tabs-mode:nil + fill-column:99 + End: +*/ +// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:encoding=utf-8:textwidth=99 : |