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Diffstat (limited to 'src/ProjectionLSQ.cxx')
| -rw-r--r-- | src/ProjectionLSQ.cxx | 249 |
1 files changed, 249 insertions, 0 deletions
diff --git a/src/ProjectionLSQ.cxx b/src/ProjectionLSQ.cxx new file mode 100644 index 0000000..3b953c8 --- /dev/null +++ b/src/ProjectionLSQ.cxx @@ -0,0 +1,249 @@ +// +// Copyright 2006 Johannes Hofmann <Johannes.Hofmann@gmx.de> +// +// This software may be used and distributed according to the terms +// of the GNU General Public License, incorporated herein by reference. + +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <math.h> + +#include <gsl/gsl_rng.h> +#include <gsl/gsl_randist.h> +#include <gsl/gsl_vector.h> +#include <gsl/gsl_blas.h> +#include <gsl/gsl_multifit_nlin.h> + +#include "ProjectionLSQ.H" + + +double +ProjectionLSQ::sec(double a) { + return 1.0 / cos(a); +} + +int +ProjectionLSQ::comp_params(const Hills *h, ViewParams *parms) { + const Hill *tmp, *m1, *m2; + double scale_tmp; + int distortion_correct = 0; + + if (h->get_num() < 2) { + fprintf(stderr, "Please position at least 2 hills\n"); + return 1; + } else if (h->get_num() > 3) { + fprintf(stderr, "Performing calibration\n"); + distortion_correct = 1; + parms->k0 = 0.0; + parms->k1 = 0.0; + } + + m1 = h->get(0); + m2 = h->get(1); + + scale_tmp = comp_scale(m1->alph, m2->alph, m1->x, m2->x); + if (isnan(scale_tmp) || scale_tmp < 100.0) { + // try again with mountains swapped + tmp = m1; + m1 = m2; + m2 = tmp; + scale_tmp = comp_scale(m1->alph, m2->alph, m1->x, m2->x); + } + + + if (isnan(scale_tmp) || scale_tmp < 100.0) { + return 1; + } else { + + parms->a_center = m1->alph; + parms->scale = scale_tmp; + parms->a_nick = 0.0; + parms->a_tilt = 0.0; + + lsq(h, parms, 0); + + if (distortion_correct) { + lsq(h, parms, 1); + } + + return 0; + } +} + +struct data { + ProjectionLSQ *p; + int distortion_correct; + const Hills *h; + const ViewParams *old_params; +}; + +#define CALL(A) dat->p->A(c_view, c_nick, c_tilt, scale, k0, k1, m->alph, m->a_nick) + +static int +lsq_f (const gsl_vector * x, void *data, gsl_vector * f) { + struct data *dat = (struct data *) data; + double c_view, c_nick, c_tilt, scale, k0, k1; + + c_view = gsl_vector_get (x, 0); + c_nick = gsl_vector_get (x, 1); + c_tilt = gsl_vector_get (x, 2); + scale = gsl_vector_get (x, 3); + if (dat->distortion_correct) { + k0 = gsl_vector_get (x, 4); + k1 = gsl_vector_get (x, 5); + } else { + k0 = dat->old_params->k0; + k1 = dat->old_params->k1; + } + + for (int i=0; i<dat->h->get_num(); i++) { + Hill *m = dat->h->get(i); + + double mx = CALL(mac_x); + double my = CALL(mac_y); + + gsl_vector_set (f, i*2, mx - m->x); + gsl_vector_set (f, i*2+1, my - m->y); + } + + return GSL_SUCCESS; +} + + +static int +lsq_df (const gsl_vector * x, void *data, gsl_matrix * J) { + struct data *dat = (struct data *) data; + double c_view, c_nick, c_tilt, scale, k0, k1; + + c_view = gsl_vector_get (x, 0); + c_nick = gsl_vector_get (x, 1); + c_tilt = gsl_vector_get (x, 2); + scale = gsl_vector_get (x, 3); + if (dat->distortion_correct) { + k0 = gsl_vector_get (x, 4); + k1 = gsl_vector_get (x, 5); + } else { + k0 = dat->old_params->k0; + k1 = dat->old_params->k1; + } + + for (int i=0; i<dat->h->get_num(); i++) { + Hill *m = dat->h->get(i); + + gsl_matrix_set (J, 2*i, 0, CALL(mac_x_dc_view)); + gsl_matrix_set (J, 2*i, 1, CALL(mac_x_dc_nick)); + gsl_matrix_set (J, 2*i, 2, CALL(mac_x_dc_tilt)); + gsl_matrix_set (J, 2*i, 3, CALL(mac_x_dscale)); + if (dat->distortion_correct) { + gsl_matrix_set (J, 2*i, 4, CALL(mac_x_dk0)); + gsl_matrix_set (J, 2*i, 5, CALL(mac_x_dk1)); + } + + gsl_matrix_set (J, 2*i+1, 0, CALL(mac_y_dc_view)); + gsl_matrix_set (J, 2*i+1, 1, CALL(mac_y_dc_nick)); + gsl_matrix_set (J, 2*i+1, 2, CALL(mac_y_dc_tilt)); + gsl_matrix_set (J, 2*i+1, 3, CALL(mac_y_dscale)); + if (dat->distortion_correct) { + gsl_matrix_set (J, 2*i+1, 4, CALL(mac_y_dk0)); + gsl_matrix_set (J, 2*i+1, 5, CALL(mac_y_dk1)); + } + } + + return GSL_SUCCESS; +} + +static int +lsq_fdf (const gsl_vector * x, void *data, gsl_vector * f, gsl_matrix * J) { + lsq_f (x, data, f); + lsq_df (x, data, J); + + return GSL_SUCCESS; +} + +int +ProjectionLSQ::lsq(const Hills *h, ViewParams *parms, + int distortion_correct) { + + const gsl_multifit_fdfsolver_type *T; + gsl_multifit_fdfsolver *s; + gsl_multifit_function_fdf f; + struct data dat; + double x_init[8]; + gsl_vector_view x; + int status; + int num_params = distortion_correct?6:4; + + dat.p = this; + dat.distortion_correct = distortion_correct; + dat.h = h; + dat.old_params = parms; + + x_init[0] = parms->a_center; + x_init[1] = parms->a_nick; + x_init[2] = parms->a_tilt; + x_init[3] = parms->scale; + x_init[4] = parms->k0; + x_init[5] = parms->k1; + + x = gsl_vector_view_array (x_init, num_params); + + f.f = &lsq_f; + f.df = &lsq_df; + f.fdf = &lsq_fdf; + f.n = h->get_num() * 2; + f.p = num_params; + f.params = &dat; + + T = gsl_multifit_fdfsolver_lmsder; + s = gsl_multifit_fdfsolver_alloc (T, h->get_num() * 2, num_params); + gsl_multifit_fdfsolver_set (s, &f, &x.vector); + + for (int i=0; i<100; i++) { + + status = gsl_multifit_fdfsolver_iterate (s); + if (status) { + fprintf(stderr, "gsl_multifit_fdfsolver_iterate: %d\n", status); + break; + } + } + + parms->a_center = gsl_vector_get(s->x, 0); + parms->a_nick = gsl_vector_get(s->x, 1); + parms->a_tilt = gsl_vector_get(s->x, 2); + parms->scale = gsl_vector_get(s->x, 3); + + if (distortion_correct) { + parms->k0 = gsl_vector_get(s->x, 4); + parms->k1 = gsl_vector_get(s->x, 5); + } + + gsl_multifit_fdfsolver_free (s); + + fprintf(stderr, "k0 %f, k1 %f\n", parms->k0, parms->k1); + + return 0; +} + +void +ProjectionLSQ::get_coordinates(double alph, double a_nick, + const ViewParams *parms, double *x, double *y) { + + *x = mac_x(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale, + parms->k0, parms->k1, alph, a_nick); + *y = mac_y(parms->a_center, parms->a_nick, parms->a_tilt, parms->scale, + parms->k0, parms->k1, alph, a_nick); +} + +double +ProjectionLSQ::comp_scale(double a1, double a2, double d1, double d2) { + double sign1 = 1.0; + double sc, tan_a1, tan_a2; + + tan_a1 = tan(a1); + tan_a2 = tan(a2); + + sc = ((((1.0 + (tan_a1 * tan_a2)) * (d1 - d2)) - (sign1 * pow((((1.0 + pow((tan_a1 * tan_a2), 2.0)) * ((d1 * d1) + (d2 * d2))) + (2.0 * ((tan_a1 * tan_a2 * pow((d1 + d2), 2.0)) - (d1 * d2 * (((tan_a1 * tan_a1) * (2.0 + (tan_a2 * tan_a2))) + 1.0 + (2.0 * (tan_a2 * tan_a2))))))), (1.0 / 2.0)))) / (2.0 * (tan_a1 - tan_a2))); + + return sc; +} |