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{ RCSid $Id$ } |
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{ |
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Fit Spherical Harmonic Coefficients for a Light Probe |
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|
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2/16/2005 G. Ward |
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|
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Constants: |
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xres - horizontal input resolution |
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yres - vertical input resolution |
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map - light probe mapping (1=angular, 2=mirror) |
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Usage: |
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pvalue -h -H -pR -d probe.hdr \ |
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| rcalc -e 'xres:512;yres:512;map:1' \ |
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-f spharm.cal -f fitSH.cal \ |
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| total > coef_R.dat |
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Repeat for green and blue components if desired |
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} |
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map : 1; { just angular for now } |
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|
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mod(n,d) : n - floor(n/d)*d; |
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sq(x) : x*x; |
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|
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x = mod(recno-1, xres); |
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y = yres-1 - floor((recno-1)/xres); |
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h = 1/xres*x - .5; |
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v = 1/yres*y - .5; |
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|
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beta_ang = 2*PI*sqrt(h*h + v*v); |
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gamma_ang = atan2(v, h); |
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sine_beta_ang = sin(beta_ang); |
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Dx_ang = cos(beta_ang); |
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Dy_ang = cos(gamma_ang)*sine_beta_ang; |
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Dz_ang = sin(gamma_ang)*sine_beta_ang; |
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theta_ang = acos(Dz_ang); |
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phi_ang = atan2(Dy_ang, Dx_ang); |
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omega_ang = sq(4*PI/(xres+yres))*if(beta_ang-.01, sine_beta_ang/beta_ang, 1); |
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|
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cond = select(map, PI-1e-4-beta_ang); |
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theta = select(map, theta_ang); |
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phi = select(map, phi_ang); |
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omega = select(map, omega_ang); |
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|
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{ Level 0-2 harmonics } |
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$1 = $1*SphericalHarmonicB(1,theta,phi)*omega; |
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$2 = $1*SphericalHarmonicB(2,theta,phi)*omega; |
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$3 = $1*SphericalHarmonicB(3,theta,phi)*omega; |
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$4 = $1*SphericalHarmonicB(4,theta,phi)*omega; |
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$5 = $1*SphericalHarmonicB(5,theta,phi)*omega; |
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$6 = $1*SphericalHarmonicB(6,theta,phi)*omega; |
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$7 = $1*SphericalHarmonicB(7,theta,phi)*omega; |
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$8 = $1*SphericalHarmonicB(8,theta,phi)*omega; |
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$9 = $1*SphericalHarmonicB(9,theta,phi)*omega; |
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{ Level 3 harmonics } |
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$10 = $1*SphericalHarmonicB(10,theta,phi)*omega; |
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$11 = $1*SphericalHarmonicB(11,theta,phi)*omega; |
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$12 = $1*SphericalHarmonicB(12,theta,phi)*omega; |
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$13 = $1*SphericalHarmonicB(13,theta,phi)*omega; |
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$14 = $1*SphericalHarmonicB(14,theta,phi)*omega; |
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$15 = $1*SphericalHarmonicB(15,theta,phi)*omega; |
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$16 = $1*SphericalHarmonicB(16,theta,phi)*omega; |
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{ Level 4 harmonics } |
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$17 = $1*SphericalHarmonicB(17,theta,phi)*omega; |
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$18 = $1*SphericalHarmonicB(18,theta,phi)*omega; |
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$19 = $1*SphericalHarmonicB(19,theta,phi)*omega; |
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$20 = $1*SphericalHarmonicB(20,theta,phi)*omega; |
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$21 = $1*SphericalHarmonicB(21,theta,phi)*omega; |
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$22 = $1*SphericalHarmonicB(22,theta,phi)*omega; |
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$23 = $1*SphericalHarmonicB(23,theta,phi)*omega; |
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$24 = $1*SphericalHarmonicB(24,theta,phi)*omega; |
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$25 = $1*SphericalHarmonicB(25,theta,phi)*omega; |
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{ Level 5 harmonics } |
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$26 = $1*SphericalHarmonicB(26,theta,phi)*omega; |
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$27 = $1*SphericalHarmonicB(27,theta,phi)*omega; |
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$28 = $1*SphericalHarmonicB(28,theta,phi)*omega; |
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$29 = $1*SphericalHarmonicB(29,theta,phi)*omega; |
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$30 = $1*SphericalHarmonicB(30,theta,phi)*omega; |
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$31 = $1*SphericalHarmonicB(31,theta,phi)*omega; |
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$32 = $1*SphericalHarmonicB(32,theta,phi)*omega; |
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$33 = $1*SphericalHarmonicB(33,theta,phi)*omega; |
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$34 = $1*SphericalHarmonicB(34,theta,phi)*omega; |
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$35 = $1*SphericalHarmonicB(35,theta,phi)*omega; |
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$36 = $1*SphericalHarmonicB(36,theta,phi)*omega; |
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{ Level 6 harmonics } |
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$37 = $1*SphericalHarmonicB(37,theta,phi)*omega; |
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$38 = $1*SphericalHarmonicB(38,theta,phi)*omega; |
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$39 = $1*SphericalHarmonicB(39,theta,phi)*omega; |
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$40 = $1*SphericalHarmonicB(40,theta,phi)*omega; |
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$41 = $1*SphericalHarmonicB(41,theta,phi)*omega; |
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$42 = $1*SphericalHarmonicB(42,theta,phi)*omega; |
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$43 = $1*SphericalHarmonicB(43,theta,phi)*omega; |
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$44 = $1*SphericalHarmonicB(44,theta,phi)*omega; |
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$45 = $1*SphericalHarmonicB(45,theta,phi)*omega; |
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$46 = $1*SphericalHarmonicB(46,theta,phi)*omega; |
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$47 = $1*SphericalHarmonicB(47,theta,phi)*omega; |
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$48 = $1*SphericalHarmonicB(48,theta,phi)*omega; |
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$49 = $1*SphericalHarmonicB(49,theta,phi)*omega; |
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{ Level 7 harmonics } |
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$50 = $1*SphericalHarmonicB(50,theta,phi)*omega; |
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$51 = $1*SphericalHarmonicB(51,theta,phi)*omega; |
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$52 = $1*SphericalHarmonicB(52,theta,phi)*omega; |
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$53 = $1*SphericalHarmonicB(53,theta,phi)*omega; |
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$54 = $1*SphericalHarmonicB(54,theta,phi)*omega; |
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$55 = $1*SphericalHarmonicB(55,theta,phi)*omega; |
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$56 = $1*SphericalHarmonicB(56,theta,phi)*omega; |
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$57 = $1*SphericalHarmonicB(57,theta,phi)*omega; |
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$58 = $1*SphericalHarmonicB(58,theta,phi)*omega; |
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$59 = $1*SphericalHarmonicB(59,theta,phi)*omega; |
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$60 = $1*SphericalHarmonicB(60,theta,phi)*omega; |
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$61 = $1*SphericalHarmonicB(61,theta,phi)*omega; |
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$62 = $1*SphericalHarmonicB(62,theta,phi)*omega; |
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$63 = $1*SphericalHarmonicB(63,theta,phi)*omega; |
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$64 = $1*SphericalHarmonicB(64,theta,phi)*omega; |
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{ Level 8 harmonics } |
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$65 = $1*SphericalHarmonicB(65,theta,phi)*omega; |
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$66 = $1*SphericalHarmonicB(66,theta,phi)*omega; |
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$67 = $1*SphericalHarmonicB(67,theta,phi)*omega; |
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$68 = $1*SphericalHarmonicB(68,theta,phi)*omega; |
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$69 = $1*SphericalHarmonicB(69,theta,phi)*omega; |
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$70 = $1*SphericalHarmonicB(70,theta,phi)*omega; |
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$71 = $1*SphericalHarmonicB(71,theta,phi)*omega; |
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$72 = $1*SphericalHarmonicB(72,theta,phi)*omega; |
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$73 = $1*SphericalHarmonicB(73,theta,phi)*omega; |
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$74 = $1*SphericalHarmonicB(74,theta,phi)*omega; |
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$75 = $1*SphericalHarmonicB(75,theta,phi)*omega; |
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$76 = $1*SphericalHarmonicB(76,theta,phi)*omega; |
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$77 = $1*SphericalHarmonicB(77,theta,phi)*omega; |
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$78 = $1*SphericalHarmonicB(78,theta,phi)*omega; |
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$79 = $1*SphericalHarmonicB(79,theta,phi)*omega; |
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$80 = $1*SphericalHarmonicB(80,theta,phi)*omega; |
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$81 = $1*SphericalHarmonicB(81,theta,phi)*omega; |
