/* PaniniGeneral.h 15Jan2010 TKS

Copyright (c) 2010, Thomas K Sharpless

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This is the reference implementation of the General Pannini

Projection, an elaboration of the basic Pannini projection

discovered by Bruno Postle and Thomas Sharpless in December

2008 in paintings by Gian Paolo Pannini (1691-1765).

It is a parameterized mapping between sphere and plane,

that gives synthetic perspective views on the plane when

the sphere holds a linear projection of the scene. Sphere

coordinates (phi, theta) are equirectangular: longitude and

latitude angles, in radians, relative to a point on the equator.

Plane coordinates (h, v) are relative to the image of the same

point, typically but not necessarily the center point of

the view. The plane y coordinate is negative upward, as is

typical in image processing software.

There are 3 parameters:

d [0:infinity) controls horizontal compression

t [-1:1] controls vertical compression at top

b [-1:1] controls vertical compression at bottom

There are functions to map cooridnates in either direction

and one to compute the maximum feasible field of view of the

plane image, given a d value and the projection angle limit

of your display system.

Angles passed to and returned by panini_general_maxVAs()

are max view angles (half-FOVs) in radians.

All 3 functions return an integer: 0: failure, 1: OK.

Computed coordinates and FOVs are returned in arguments

passed by address.

*/

int panini_general_toPlane ( double phi, double theta,

double* h, double* v,

double d, double t, double b

);

int panini_general_toSphere ( double* phi, double* theta,

double h, double v,

double d, double t, double b

);

int panini_general_maxVAs ( double d,

double maxProj,

double * maxView

);