LJ/libs3/homographyp.py

#!/usr/bin/python3
# -*- coding: utf-8 -*-
# -*- mode: Python -*-

'''

LJay/LJ
v0.7.0

LICENCE : CC
Sam Neurohack

Homographies for align + swap corrections and warp corrections

Align + swap homography if found with 4 original points and corrected coordinates
Warp correction is disabled for the moment. Should be computed at warp edition : set 1 curve 1

Use the :

########################################################################
#  Module to compute homographies                                      #
#                                                                      #
#  Author : Alexis Mignon                                              #
#  email  : alexis.mignon@info.unicaen.fr                              #
#  date   : 10/03/2010                                                 #
########################################################################

    Module to compute homographies between two sets of 2D points
	
	implemented functions :
	 - find_homography(points1,points2) : finds the homography between 
	   two sets of 2D points
	 - find_affine_homography(points1,points2) : finds the affine 
	   homography between two sets of 2D points
	 - apply_homography(H,points) : applies homography H to the set of 
	   2D points 'points'

	example :
    >>> from homography import *
    >>> 
    >>> points1 = np.array([[ 0., 0. ],
    >>>                     [ 1., 0. ],
    >>>                     [ 0., 1. ],
    >>>                     [ 1., 1. ]])
    >>> 
    >>> points2 = np.array([[ 0.  , 0. ],
    >>>                     [ 1.  , 0. ],
    >>>                     [ 0.25, 1. ],
    >>>                     [ 0.75, 1. ]])
    >>> 
    >>> points3 = np.array([[-1., 0.],
    >>>                     [ 0.,-1.],
    >>>                     [ 0., 1.],
    >>>                     [ 1., 0.]])
    >>> 
    >>> H1 = find_homography(points1,points2)
    >>> print H1
    >>> print apply_homography(H1,points1)
    >>> H2 =  find_affine_homography(points1,points3)
    >>> print H2
    >>> print apply_homography(H2,points1)
'''


import numpy as np
import math
from scipy.linalg import svd,lstsq
import ast
from libs3 import gstt
#from globalVars import xy_center
import redis


r = redis.StrictRedis(host=gstt.LjayServerIP, port=6379, db=0)

def find(points1,points2):
	if points1.shape[0] != points2.shape[0] : raise ValueError("The number of input and output points mismatches")
	if points1.shape[1] == 2 :
		p1 = np.ones((len(points1),3),'float64')
		p1[:,:2] = points1
	elif points1.shape[1] == 3 : p1 = points1
	else : raise ValueError("Bad shape for input points")
	
	if points2.shape[1] == 2 :
		p2 = np.ones((len(points2),3),'float64')
		p2[:,:2] = points2
	elif points2.shape[1] == 3 : p2 = points2
	else : raise ValueError("Bad shape for output points")
	
	npoints = len(points1)
	
	A = np.zeros((3*npoints,9),'float64')
	
	for i in range(npoints):
		p1i = p1[i]
		x2i,y2i,w2i = p2[i]
		xpi = x2i*p1i
		ypi = y2i*p1i
		wpi = w2i*p1i
		
		A[i*3  ,3:6] = -wpi
		A[i*3  ,6:9] =  ypi
		A[i*3+1,0:3] =  wpi
		A[i*3+1,6:9] = -xpi
		A[i*3+2,0:3] = -ypi
		A[i*3+2,3:6] =  xpi

	U,s,Vt = svd(A,full_matrices = False, overwrite_a = True)
	del U,s
	h = Vt[-1]
	H = h.reshape(3,3)
	return H

def find_affine(points1,points2):
	if points1.shape[0] != points2.shape[0] : raise ValueError("The number of input and output points mismatches")
	if points1.shape[1] == 2 :
		p1 = np.ones((len(points1),3),'float64')
		p1[:,:2] = points1
	elif points1.shape[1] == 3 : p1 = points1
	else : raise ValueError("Bad shape for input points")
	
	if points2.shape[1] == 2 :
		p2 = np.ones((len(points2),3),'float64')
		p2[:,:2] = points2
	elif points2.shape[1] == 3 : p2 = points2
	else : raise ValueError("Bad shape for output points")
	
	npoints = len(points1)
	
	A = np.zeros((3*npoints,6),'float64')
	b = np.zeros((3*npoints,1),'float64')
	for i in range(npoints):
		p1i = p1[i]
		x2i,y2i,w2i = p2[i]
		xpi = x2i*p1i
		ypi = y2i*p1i
		wpi = w2i*p1i
		
		A[i*3  ,3:6] = -wpi
		A[i*3+1,0:3] =  wpi
		A[i*3+2,0:3] = -ypi
		A[i*3+2,3:6] =  xpi
		
		b[i*3  ] = -y2i*p1i[2]
		b[i*3+1] =  x2i*p1i[2]

	h = lstsq(A,b,overwrite_a = True, overwrite_b = True)[0]
	H = np.zeros( (3,3) , 'float64' )
	H[:2,:] = h.reshape(2,3)
	H[2,2] = 1
	return H

def apply(H,points):

	p = np.ones((len(points),3),'float64')
	p[:,:2] = points
	pp = np.dot(p,H.T)
	pp[:,:2]/=pp[:,2].reshape(len(p),1)
	return pp[:,:2]

# Align and axis swap corrections 
# Reference points 
pointsref = np.array([(300.0, 400.0), (500.0, 400.0), (500.0, 200.0), (300.0, 200.0)])

def EDpoint(mylaser, xxx_todo_changeme):

	#print "current point : ", pygamex, pygamey
	(pygamex,pygamey) = xxx_todo_changeme
	XX = pygamex - gstt.xy_center[0]
	YY = pygamey - gstt.xy_center[1]
	CosANGLE = math.cos(gstt.finANGLE[mylaser])
	SinANGLE = math.sin(gstt.finANGLE[mylaser])

	x = (gstt.xy_center[0] + ((XX * CosANGLE) - (YY * SinANGLE)) - gstt.xy_center[0]) * gstt.zoomX[mylaser] + gstt.centerX[mylaser]
	y = (gstt.xy_center[1] + ((XX * SinANGLE) + (YY * CosANGLE)) - gstt.xy_center[1]) * gstt.zoomY[mylaser] + gstt.centerY[mylaser]
	
	if gstt.debug >1:
	
		#print "global center :", xy_center
		print("EDpoint computing...")
		print("Laser :", mylaser, "center at : ", gstt.centerX[mylaser], gstt.centerY[mylaser])
		print("Pygame point",pygamex,",",pygamey)
		'''
		print "swaps : ", (gstt.swapX[mylaser]), str(gstt.swapY[mylaser])
		print "zooms : ", gstt.zoomX[mylaser], gstt.zoomY[mylaser]
		print "angles : ", gstt.finANGLE[mylaser]
		'''
		print("Result point : ", x * gstt.swapX[mylaser] , y * gstt.swapY[mylaser])
	return [x * gstt.swapX[mylaser] , y * gstt.swapY[mylaser]]

'''
def EDpoint((pygamex,pygamey)):

    XX = pygamex - xy_center[0]
    YY = pygamey - xy_center[1]
    CosANGLE = math.cos(finangle)
    SinANGLE = math.sin(finangle)
    # Multilaser style
    x = (xy_center[0] + ((XX * CosANGLE) - (YY * SinANGLE)) - xy_center[0]) * zoomx + centerx
    y = (xy_center[1] + ((XX * SinANGLE) + (YY * CosANGLE)) - xy_center[1]) * zoomy + centery
        
    return [x*1, y*1]
'''


# New total homography from always the same reference points : ED (= align + swap) transform + warp transform.
# WARP IS DISABLED. Some bug tracking is needed !
def newEDH(mylaser):

	EDpoints = []
	for point in range(4):
		EDpoints.append(EDpoint(mylaser,pointsref[point]))

	# H matrix tansform pygame points in Etherdream system with align and swap correction,
	H = find(pointsref, np.array(EDpoints))

	# Computer Hwarp matrix with previously reference warped points in configuration file.
	Hwarp = find(pointsref, gstt.warpdest[mylaser])
	#Hwarp = np.identity(3, dtype = float)
	# EDH matrix 
	gstt.EDH[mylaser] = H

	# EDH matrix is H x Hwarp
	#gstt.EDH[mylaser] = np.dot(H,Hwarp)
	print("Tracer", mylaser, ": new EDH computed, sending to redis...")
	if r.set('/EDH/'+str(mylaser), np.array2string(gstt.EDH[mylaser], separator=',')) == True:
		r.set('/order/'+str(mylaser), 1)
		print("New EDH sent.")
	else:
		print("New EDH not sent.")
	'''
	# Laser bit 0 = 0 and bit 1 = 1 : New EDH
	order = r.get('/order')
	print order
	neworder =  order & ~(1<< mylaser*2)
	neworder =  neworder | (1<< 1+mylaser*2)
	r.set('/order', str(neworder))
	'''

	if gstt.debug >1:
		print("")
		print("laser ", mylaser)
		print("reference points", pointsref)
		print("laser EDpoints :", EDpoints)
		print("-> Computed H :",H)
		#print "warped points coordinates ", gstt.warpdest[mylaser]
		#print "-> Computed Hwarp", Hwarp
		#print  "laser ", mylaser, "warpd ",ast.literal_eval(gstt.warpdest[gstt.Laser])
		#print  "laser ", mylaser, "Hwarp ", Hwarp
		#print ""
		print("-> new EDH :",  gstt.EDH[mylaser])