--- milena/mln/inpainting/inpaint.hh | 11 ++- milena/mln/inpainting/lpde.hh | 201 +++++++++++++++++++++++---------- milena/mln/inpainting/metric/psnr.hh | 12 ++- 3 files changed, 158 insertions(+), 66 deletions(-) diff --git a/milena/mln/inpainting/inpaint.hh b/milena/mln/inpainting/inpaint.hh index 44f20a8..86398e5 100644 --- a/milena/mln/inpainting/inpaint.hh +++ b/milena/mln/inpainting/inpaint.hh @@ -15,6 +15,8 @@ #include <mln/util/timer.hh> +#include <mln/inpainting/metric/psnr.hh> + namespace mln { namespace inpainting @@ -73,13 +75,20 @@ namespace mln I<bool> new_mask(roi); data::paste(inpaint_mask | roi, new_mask); + data::fill((new_src | pw::value(new_mask)).rw(), literal::zero); + mln::util::timer t; t.start(); inpaint_method(new_src, new_mask); t.stop(); - std::cout << "inpaint time = " << t << std::endl; + + double psnr = metric::psnr(inpaint_src | pw::value(inpaint_mask), + new_src | pw::value(new_mask)); + + std::cout << "inpaint time = " << t << "; " + << "psnr = " << psnr << std::endl; I<T> output(inpaint_src); { // paste new_src to output diff --git a/milena/mln/inpainting/lpde.hh b/milena/mln/inpainting/lpde.hh index 1f754d8..04a903a 100644 --- a/milena/mln/inpainting/lpde.hh +++ b/milena/mln/inpainting/lpde.hh @@ -1,5 +1,6 @@ #include <algorithm> #include <vector> +#include <limits> #include <mln/core/image/dmorph/image_if.hh> @@ -11,6 +12,8 @@ #include <mln/linear/gaussian.hh> #include <mln/core/alias/w_window2d_float.hh> +#include <mln/core/alias/neighb2d.hh> + #include <mln/pw/value.hh> #include <mln/value/int_u.hh> @@ -20,6 +23,17 @@ #include <mln/core/alias/vec2d.hh> +#include <mln/inpainting/derivative_kernels.hh> + +#include <mln/core/concept/accumulator.hh> + +#include <mln/trait/value_.hh> + +#include <mln/extension/adjust_duplicate.hh> + +#include <mln/norm/l2.hh> +#include <mln/value/int_u8.hh> + namespace mln { namespace inpainting @@ -49,92 +63,157 @@ namespace mln this->t_f = t_f; } - template <typename I> - void compute_diff_invariants(const I& u, - std::vector<I>& invs, - const std::vector<float>& w) + template <typename T> + inline + T components_product(trait::value::nature::scalar, + T a, + T b) { - const float sigma = 0.8; + return a * b; + } + + template <typename T> + T components_product(trait::value::nature::vectorial, + T a, + T b) + { + T c; + // static loop unrolling ? + for (unsigned i = 0; i < mln_dim(T); ++i) + c[i] = a[i] * b[i]; + + return c; + } + + template <typename T> + inline + T components_product(T a, + T b) + { + return components_product(mln_trait_value_nature(T)(), a, b); + } + + template <typename I, typename M> + float diffuse(I& u, + const I& f, + const std::vector<float>& w, + const M& mask) + { + typedef mln_value(I) T; + + const float activation_threshold = 0.001; + + const unsigned derivative_kernels_size = 5; + const float* derivative_kernel[derivative_kernels_size]; + + derivative_kernel[0] = make_dx_kernel(); + derivative_kernel[1] = make_dy_kernel(); + derivative_kernel[2] = make_dxx_kernel(); + derivative_kernel[3] = make_dyy_kernel(); + derivative_kernel[4] = make_dxy_kernel(); - invs[0] = linear::gaussian_1st_derivative(u, sigma, 1); - invs[1] = linear::gaussian_1st_derivative(u, sigma, 0); - invs[2] = linear::gaussian_2nd_derivative(u, sigma, 1); - invs[3] = linear::gaussian_2nd_derivative(u, sigma, 0); - invs[4] = linear::gaussian_2nd_derivative(u, sigma); + static window2d full3x3; + static const bool vals[] = { 1, 1, 1, + 1, 1, 1, + 1, 1, 1 }; - { // TV regularization term div ( \nabla u / | \nabla u | ) + convert::from_to(vals, full3x3); - I u_xnx( invs[5].domain() ); - I u_yny( invs[5].domain() ); + mln_pixter(I) p(u); + //mln_pixter(const I) p_f(f); + mln_pixter(const M) p_m(mask); + mln_qixter(const I, window2d) q(p, full3x3); - { - mln_piter(I) p( invs[5].domain() ); + float sse = 0; - for_all(p) + unsigned car = 0; + for_all_2 (p, p_m) + { + //if (p_m.val()) { - for (unsigned i = 0; i < mln_dim(mln_value(I)); ++i) - { - float norm; - { - vec2d_f v; - - v[0] = invs[0](p)[i]; - v[1] = invs[1](p)[i]; - - norm = norm::l2(v); - } + T old = p.val(); - u_xnx(p)[i] = invs[0](p)[i] / norm; - u_yny(p)[i] = invs[1](p)[i] / norm; - } - } - } + if (fabs(w[1]) > activation_threshold) + p.val() *= w[1]; - u_xnx = linear::gaussian_1st_derivative(u_xnx, sigma, 1); - u_yny = linear::gaussian_1st_derivative(u_yny, sigma, 0); + // if (fabs(w[0]) > activation_threshold) + // p.val() += w[0] * p_f.val(); - mln_piter(I) p( invs[5].domain() ); - for_all(p) - { - invs[5](p) = u_xnx(p) + u_yny(p); - } + T p_derivative[derivative_kernels_size]; + + for (unsigned i = 0; i < derivative_kernels_size; ++i) + p_derivative[i] = literal::zero; + + unsigned k = 0; + for_all (q) + { + for (unsigned i = 0; i < derivative_kernels_size; ++i) + { + p_derivative[i] += q.val() * derivative_kernel[i][k]; + } + ++k; + } + + const T& p_x = p_derivative[0]; + const T& p_y = p_derivative[1]; + const T& p_xx = p_derivative[2]; + const T& p_yy = p_derivative[3]; + const T& p_xy = p_derivative[4]; + + const T p_x2 = components_product(p_x, p_x); + const T p_y2 = components_product(p_y, p_y); + const T p_xx2 = components_product(p_xx, p_xx); + const T p_yy2 = components_product(p_yy, p_yy); + const T p_xy2 = components_product(p_xy, p_xy); + + //||∇u||^2 + if (fabs(w[2]) > activation_threshold) + p.val() += w[2] * (p_x2 + p_y2); + + // laplacian + if (fabs(w[3]) > activation_threshold) + p.val() += w[3] * (p_xx + p_yy); + + // tr(H^2(u)) + if (fabs(w[4]) > activation_threshold) + p.val() += w[4] * (p_xx2 + 2 * p_xy2 + p_yy2); + + // (∇u)^T H_u (∇u) + if (fabs(w[5]) > activation_threshold) + p.val() += w[5] * (components_product(p_x2, p_xx) + + 2 * components_product(components_product(p_x, p_y), p_xy) + + components_product(p_y2, p_yy)); + + sse += norm::l2(old - p.val()); + } } + + return sse; } template <template <typename> class I, typename T> void lpde::operator()(I<T>& src, I<bool>& mask) { + extension::adjust_duplicate(src, 1); - data::fill((src | pw::value(mask)).rw(), literal::zero); + const I<T> f(src); - std::vector<I<T> > invs(w.size(), src.domain()); + I<T>& u = src; - I<T>& u_t = src; + float sse = std::numeric_limits<float>::max(); - float r = this->dt / (this->dx * this->dx); - - for (float t = 0; t < this->t_f; t += dt) + float t = 0; + while (t < this->t_f && sse > 0.01 && !std::isnan(sse)) { - compute_diff_invariants(u_t, invs, this->w); + sse = diffuse(u, f, w, mask); - mln_piter(I<T>) p(u_t.domain()); + std::cout << "sse = " << sse << std::endl; - for_all(p) - { - if (mask(p)) - { - T contribution = literal::zero; - - for (unsigned k = 0; k < w.size(); ++k) - { - contribution += this->w[k] * invs[k](p); - } - - u_t(p) += r * contribution; - } - } + t += this->dt; } + + std::cout << "Number of iterations: " << t << std::endl; } void lpde::set(const std::vector<float>& w) diff --git a/milena/mln/inpainting/metric/psnr.hh b/milena/mln/inpainting/metric/psnr.hh index 4998b4a..5dd8fdd 100644 --- a/milena/mln/inpainting/metric/psnr.hh +++ b/milena/mln/inpainting/metric/psnr.hh @@ -14,12 +14,12 @@ namespace mln { namespace metric { - template <typename I> + template <typename I, typename I2> double psnr(const Image<I>& original_, - const Image<I>& altered_) + const Image<I2>& altered_) { const I& original = exact(original_); - const I& altered = exact(altered_); + const I2& altered = exact(altered_); mln_piter(I) p( altered.domain() ); @@ -27,6 +27,8 @@ namespace mln const unsigned dim = mln_dim(mln_value(I)); + unsigned nelements = 0; + for_all(p) { const mln_sum(mln_value(I)) diff = original(p) - altered(p); @@ -36,9 +38,11 @@ namespace mln else for (unsigned i = 0; i < dim; ++i) mse += diff[i] * diff[i]; + + ++nelements; } - mse /= ( altered.ncols() * altered.nrows() * dim); + mse /= ( nelements * dim); const unsigned max = pow(2, mln_nbits(mln_value(I)) / dim) - 1; -- 1.7.2.5