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PJ_sch.c
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PJ_sch.c
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/******************************************************************************
* Project: SCH Coordinate system
* Purpose: Implementation of SCH Coordinate system
* References :
* 1. Hensley. Scott. SCH Coordinates and various transformations. June 15, 2000.
* 2. Buckley, Sean Monroe. Radar interferometry measurement of land subsidence. 2000..
* PhD Thesis. UT Austin. (Appendix)
* 3. Hensley, Scott, Elaine Chapin, and T. Michel. "Improved processing of AIRSAR
* data based on the GeoSAR processor." Airsar earth science and applications
* workshop, March. 2002. (http://airsar.jpl.nasa.gov/documents/workshop2002/papers/T3.pdf)
*
* Author: Piyush Agram (piyush.agram@jpl.nasa.gov)
* Copyright (c) 2015 California Institute of Technology.
* Government sponsorship acknowledged.
*
* NOTE: The SCH coordinate system is a sensor aligned coordinate system
* developed at JPL for radar mapping missions. Details pertaining to the
* coordinate system have been release in the public domain (see references above).
* This code is an independent implementation of the SCH coordinate system
* that conforms to the PROJ.4 conventions and uses the details presented in these
* publicly released documents. All credit for the development of the coordinate
* system and its use should be directed towards the original developers at JPL.
******************************************************************************
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
* DEALINGS IN THE SOFTWARE.
****************************************************************************/
#define PJ_LIB__
#include <errno.h>
#include "proj.h"
#include "projects.h"
#include "geocent.h"
struct pj_opaque {
double plat; /*Peg Latitude */
double plon; /*Peg Longitude*/
double phdg; /*Peg heading */
double h0; /*Average altitude */
double transMat[9];
double xyzoff[3];
double rcurv;
GeocentricInfo sph;
GeocentricInfo elp_0;
};
PROJ_HEAD(sch, "Spherical Cross-track Height") "\n\tMisc\n\tplat_0= plon_0= phdg_0= [h_0=]";
static LPZ inverse3d(XYZ xyz, PJ *P) {
LPZ lpz = {0.0, 0.0, 0.0};
struct pj_opaque *Q = P->opaque;
double temp[3];
double pxyz[3];
/* Local lat,lon using radius */
pxyz[0] = xyz.y * P->a / Q->rcurv;
pxyz[1] = xyz.x * P->a / Q->rcurv;
pxyz[2] = xyz.z;
if( pj_Convert_Geodetic_To_Geocentric( &(Q->sph), pxyz[0], pxyz[1], pxyz[2], temp, temp+1, temp+2) != 0) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return lpz;
}
/* Apply rotation */
pxyz[0] = Q->transMat[0] * temp[0] + Q->transMat[1] * temp[1] + Q->transMat[2] * temp[2];
pxyz[1] = Q->transMat[3] * temp[0] + Q->transMat[4] * temp[1] + Q->transMat[5] * temp[2];
pxyz[2] = Q->transMat[6] * temp[0] + Q->transMat[7] * temp[1] + Q->transMat[8] * temp[2];
/* Apply offset */
pxyz[0] += Q->xyzoff[0];
pxyz[1] += Q->xyzoff[1];
pxyz[2] += Q->xyzoff[2];
/* Convert geocentric coordinates to lat lon */
pj_Convert_Geocentric_To_Geodetic( &(Q->elp_0), pxyz[0], pxyz[1], pxyz[2],
temp, temp+1, temp+2);
lpz.lam = temp[1] ;
lpz.phi = temp[0] ;
lpz.z = temp[2];
return lpz;
}
static XYZ forward3d(LPZ lpz, PJ *P) {
XYZ xyz = {0.0, 0.0, 0.0};
struct pj_opaque *Q = P->opaque;
double temp[3];
double pxyz[3];
/* Convert lat lon to geocentric coordinates */
if( pj_Convert_Geodetic_To_Geocentric( &(Q->elp_0), lpz.phi, lpz.lam, lpz.z, temp, temp+1, temp+2 ) != 0 ) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return xyz;
}
/* Adjust for offset */
temp[0] -= Q->xyzoff[0];
temp[1] -= Q->xyzoff[1];
temp[2] -= Q->xyzoff[2];
/* Apply rotation */
pxyz[0] = Q->transMat[0] * temp[0] + Q->transMat[3] * temp[1] + Q->transMat[6] * temp[2];
pxyz[1] = Q->transMat[1] * temp[0] + Q->transMat[4] * temp[1] + Q->transMat[7] * temp[2];
pxyz[2] = Q->transMat[2] * temp[0] + Q->transMat[5] * temp[1] + Q->transMat[8] * temp[2];
/* Convert to local lat,lon */
pj_Convert_Geocentric_To_Geodetic( &(Q->sph), pxyz[0], pxyz[1], pxyz[2],
temp, temp+1, temp+2);
/* Scale by radius */
xyz.x = temp[1] * Q->rcurv / P->a;
xyz.y = temp[0] * Q->rcurv / P->a;
xyz.z = temp[2];
return xyz;
}
static PJ *setup(PJ *P) { /* general initialization */
struct pj_opaque *Q = P->opaque;
double reast, rnorth;
double chdg, shdg;
double clt, slt;
double clo, slo;
double temp;
double pxyz[3];
temp = P->a * sqrt(1.0 - P->es);
/* Setup original geocentric system */
if ( pj_Set_Geocentric_Parameters(&(Q->elp_0), P->a, temp) != 0)
return pj_default_destructor(P, PJD_ERR_FAILED_TO_FIND_PROJ);
clt = cos(Q->plat);
slt = sin(Q->plat);
clo = cos(Q->plon);
slo = sin(Q->plon);
/* Estimate the radius of curvature for given peg */
temp = sqrt(1.0 - (P->es) * slt * slt);
reast = (P->a)/temp;
rnorth = (P->a) * (1.0 - (P->es))/pow(temp,3);
chdg = cos(Q->phdg);
shdg = sin(Q->phdg);
Q->rcurv = Q->h0 + (reast*rnorth)/(reast * chdg * chdg + rnorth * shdg * shdg);
/* Set up local sphere at the given peg point */
if ( pj_Set_Geocentric_Parameters(&(Q->sph), Q->rcurv, Q->rcurv) != 0)
return pj_default_destructor(P, PJD_ERR_FAILED_TO_FIND_PROJ);
/* Set up the transformation matrices */
Q->transMat[0] = clt * clo;
Q->transMat[1] = -shdg*slo - slt*clo * chdg;
Q->transMat[2] = slo*chdg - slt*clo*shdg;
Q->transMat[3] = clt*slo;
Q->transMat[4] = clo*shdg - slt*slo*chdg;
Q->transMat[5] = -clo*chdg - slt*slo*shdg;
Q->transMat[6] = slt;
Q->transMat[7] = clt*chdg;
Q->transMat[8] = clt*shdg;
if( pj_Convert_Geodetic_To_Geocentric( &(Q->elp_0), Q->plat, Q->plon, Q->h0,
pxyz, pxyz+1, pxyz+2 ) != 0 )
return pj_default_destructor(P, PJD_ERR_LAT_OR_LON_EXCEED_LIMIT);
Q->xyzoff[0] = pxyz[0] - (Q->rcurv) * clt * clo;
Q->xyzoff[1] = pxyz[1] - (Q->rcurv) * clt * slo;
Q->xyzoff[2] = pxyz[2] - (Q->rcurv) * slt;
P->fwd3d = forward3d;
P->inv3d = inverse3d;
return P;
}
PJ *PROJECTION(sch) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return pj_default_destructor(P, ENOMEM);
P->opaque = Q;
Q->h0 = 0.0;
/* Check if peg latitude was defined */
if (pj_param(P->ctx, P->params, "tplat_0").i)
Q->plat = pj_param(P->ctx, P->params, "rplat_0").f;
else {
return pj_default_destructor(P, PJD_ERR_FAILED_TO_FIND_PROJ);
}
/* Check if peg longitude was defined */
if (pj_param(P->ctx, P->params, "tplon_0").i)
Q->plon = pj_param(P->ctx, P->params, "rplon_0").f;
else {
return pj_default_destructor(P, PJD_ERR_FAILED_TO_FIND_PROJ);
}
/* Check if peg latitude is defined */
if (pj_param(P->ctx, P->params, "tphdg_0").i)
Q->phdg = pj_param(P->ctx, P->params, "rphdg_0").f;
else {
return pj_default_destructor(P, PJD_ERR_FAILED_TO_FIND_PROJ);
}
/* Check if average height was defined - If so read it in */
if (pj_param(P->ctx, P->params, "th_0").i)
Q->h0 = pj_param(P->ctx, P->params, "dh_0").f;
return setup(P);
}