Gaussian Filter Pengolahan Awal

Pixel 4,2 = 96B491 = 1001 0110 1011 0100 1001 0001 Pixel 4,3 = 96A4FF = 1001 0110 1010 0100 1111 1111 Pixel 4,4 = C3B425 = 1100 0011 1011 0100 0010 0101 3.1.6.2 Segmentasi Tahap pertama dalam sistem pengenalan iris mata adalah memisahkan daerah iris mata pada suatu citra mata. Hal ini disebabkan daerah iris mata dipengaruhi bulu mata dan kelopak mata, inilah penyebab terjadinya noise dalam mengenali pemilik citra iris. Adapun dalam penelitian ini segmentasi dilakukan dengan proses penghalusan smoothing yaitu menggunakan Gaussian Filter, Grayscale, Threshold Binerisasi, dan terakhir dengan deteksi tepi.

3.1.6.2.1 Gaussian Filter

Gaussian Filter secara meluas telah digunakan dalam bidang analisis citra terutama untuk proses penghalusan smoothing, pengaburan bluring, menghilangkan detail, dan menghilangkan derau noise dan merupakan salah satu proses memperhalus gambar yang dinilai sudah cukup optimal. Proses penghalusan citra dilakukan dengan melakukan konvolusi citra dengan filter kernel Gaussian seperti pada Tabel 3.4 Tabel 3.4 Matriks Kernel Gaussian 2 D 5 x 5 0.0030 0.0133 0.0219 0.0133 0.0030 0.0133 0.0596 0.0983 0.0596 0.0133 0.0219 0.0983 0.1621 0.0983 0.0219 0.0133 0.0596 0.0983 0.0596 0.0133 0.0030 0.0133 0.0219 0.0133 0.0030 Matriks citra awal dalam heksadesimal dapat dilihat pada Tabel 3.5 Tabel 3.5 Matriks Citra Iris Heksadesimal 90B4F1 90B4F1 93B4F1 10B491 90E1F1 96B491 90B411 98B491 9034F1 15D411 F3B415 F4B4D1 8024F0 8946837 22C480 90B4F1 90F4C1 90B7F9 90B4F1 740491 F3B491 9CB6C1 96B491 96A4FF C3B425 Agar dapat dikonvolusi dengan matriks kernel maka nilai heksadesimal diubah ke dalam bentuk desimal seperti terlihat pada Tabel 3.6. Tabel 3.6 Nilai Heksadesimal Diubah Dalam Desimal 9483505 9483505 9680113 1094801 9495025 9876625 9483281 10007697 9450737 1430545 15971349 16037073 8398064 9876625 2278528 9483505 9499841 9484281 9483505 7603345 15971473 10270401 9876625 9872639 12825637 Hasil konvolusi yaitu perkalian Matriks kernel dengan nilai piksel: 0.0030 9483505 = 28450,515 0.0133 9483505 = 126130,6165 0.0219 9680113 = 211994,4747 0.01331094801 = 14560,8533 0.00309495025 = 28485,075 0.0133 9876625 = 129383,7875 0.0596 9483281 = 554771,9385 0.0983 10007697 = 965742,7605 0.0596 9450737 = 552868,1145 0.0133 1430545 = 18740,1395 0.021915971349 = 349772,5431 0.0983 9483281 = 932206,5223 0.1621 8398064 = 1361326,1744 0.0983 9876625 = 970872,2375 0.0219 2278528 = 49899,7632 0.0133 9876625 = 131359,1125 0.0596 9499841 = 566190,5236 0.0983 9484281 = 932304,8223 0.0596 9483505 = 565216,898 0.0133 7603345 = 101124,4885 0.0030 15971473 = 47914,419 0.013310270401 = 136596,3333 0.0219 9876625 = 216298,0875 0.0133 9872639 = 131306,0987 0.0030 12825637 = 38476,911 Berikut adalah hasil dari konvolusi Matriks kernel dengan nilai matriks citra pada tabel 3.7 dari iris mata. Tabel 3.7 Hasil Dari Konvolusi Citra Dengan Matriks Kernel 28450,515 129383,7875 349772,5431 131359,1125 47914,419 126130,6165 554771,9385 932206,5223 566190,5236 136596,3333 211994,4747 965742,7605 1361326,1744 932304,8223 216298,0875 14560,8533 552868,1145 970872,2375 565216,898 131306,0987 28485,075 18740,1395 49899,7632 101124,4885 38476,911 Dari perhitungan konvolusi lanjut ke perhitungan RGB, Selanjunya dilakukan perhitungan nilai RGB dengan rumus: Nilai R = c and 255...............................................................................................................3.1 Nilai G = c and 65,280256 ................................................................................................ 3.2 Nilai B = c and 16,711,680256256...............................................................................3.3 Dari nilai bitmap di atas dapat dihitung nilai komponen RGB citra dengan menggunakan persamaan 3.1, 3.2 dan 3.3. Pixel 0,0: Nilai R = c and 255 28450 and 255 = 34 Nilai G = c and 65.280256 28450 and 65.280 256 = 2560256 = 111 Nilai B = c and 16.711.680256256 28450 and 16.711.680 256256 = 0 Pixel 0,1: Nilai R = c and 255 126130 and 255 = 178 Nilai G = c and 65.280256 126130 and 65.280 256 = 236 Nilai B = c and 16.711.680256256 126130 and 16.711.680256256 = 256 Pixel 0,2: Nilai R = c and 255 211994 and 255 = 234 Nilai G = c and 65.280256 211994 and 65.280256 = 60 Nilai B = c and 16.711.680256256 211994 and 16.711.680256256 = 3 Pixel 0,3: Nilai R = c and 255 14560 and 255 = 5 Nilai G = c and 65.280256 14560 and 65.280256 = 56 Nilai B = c and 16.711.680256256 14560 and 16.711.680256256 = 0 Pixel 0,4: Nilai R = c and 255 28485 and 255 = 193 Nilai G = c and 65.280256 28485 and 65.280256 = 10 Nilai B = c and 16.711.680256256 28485 and 16.711.680256256 = 0 Pixel 1,0: Nilai R = c and 255 129383 and 255 = 103 Nilai G = c and 65.280256 129383 and 65.280256 = 249 Nilai B = c and 16.711.680256256 12938 and 16.711.680256256 = 0 Pixel 1,1: Nilai R = c and 255 554771 and 255 = 19 Nilai G = c and 65.280256 554771 and 65.280256 = 119 Nilai B = c and 16.711.680256256 554771 and 16.711.680256256 = 8 Pixel 1,2: Nilai R = c and 255 965742 and 255 = 110 Nilai G = c and 65.280256 965742 and 65.280256 = 188 Nilai B = c and 16.711.680256256 965742 and 16.711.680256256 = 14 Pixel 1,3: Nilai R = c and 255 552868 and 255 = 164 Nilai G = c and 65.280256 552868 and 65.280256 = 111 Nilai B = c and 16.711.680256256 552868 and 16.711.680256256 = 8 Pixel 1,4: Nilai R = c and 255 18740 and 255 = 52 Nilai G = c and 65.280256 18740 and 65.280256 = 73 Nilai B = c and 16.711.680256256 18740 and 16.711.680256256 = 0 Pixel 2,0: Nilai R = c and 255 349772 and 255 = 76 Nilai G = c and 65.280256 349772 and 65.280256 = 86 Nilai B = c and 16.711.680256256 349772 and 16.711.680256256 = 5 Pixel 2,1: Nilai R = c and 255 932206 and 255 = 110 Nilai G = c and 65.280256 932206 and 65.280256 = 57 Nilai B = c and 16.711.680256256 932206 and 16.711.680256256 = 14 Pixel 2,2: Nilai R = c and 255 1361326 and 255 = 174 Nilai G = c and 65.280256 1361326 and 65.280256 = 197 Nilai B = c and 16.711.680256256 1361326 and 16.711.680256256 = 20 Pixel 2,3: Nilai R = c and 255 970872 and 255 = 120 Nilai G = c and 65.280256 970872 and 65.280256 = 208 Nilai B = c and 16.711.680256256 970872 and 16.711.680256256 = 14 Pixel 2,4: Nilai R = c and 255 49899 and 255 = 235 Nilai G = c and 65.280256 49899 and 65.280256 = 194 Nilai B = c and 16.711.680256256 49899 and 16.711.680256256 = 0 Pixel 3,0: Nilai R = c and 255 131359 and 255 = 31 Nilai G = c and 65.280256 131359 and 65.280256 = 1 Nilai B = c and 16.711.680256256 131359 and 16.711.680256256 = 2 Pixel 3,1: Nilai R = c and 255 566190 and 255 = 174 Nilai G = c and 65.280256 566190 and 65.280256 = 163 Nilai B = c and 16.711.680256256 566190 and 16.711.680256256 = 8 Pixel 3,2: Nilai R = c and 255 932304 and 255 = 33 Nilai G = c and 65.280256 932304 and 65.280256 = 247 Nilai B = c and 16.711.680256256 932304 and 16.711.680256256 = 13 Pixel 3,3: Nilai R = c and 255 565216 and 255 = 33 Nilai G = c and 65.280256 565216 and 65.280256 = 119 Nilai B = c and 16.711.680256256 565216 and 16.711.680256256 = 8 Pixel 3,4: Nilai R = c and 255 101124 and 255 = 19 Nilai G = c and 65.280256 101124 and 65.280256 = 133 Nilai B = c and 16.711.680256256 101124 and 16.711.680256256 = 1 Pixel 4,0: Nilai R = c and 255 47914 and 255 = 42 Nilai G = c and 65.280256 47914 and 65.280256 = 187 Nilai B = c and 16.711.680256256 47914 and 16.711.680256256 = 0 Pixel 4,1: Nilai R = c and 255 136596 and 255 = 148 Nilai G = c and 65.280256 136596 and 65.280256 = 21 Nilai B = c and 16.711.680256256 136596 and 16.711.680256256 = 2 Pixel 4,2: Nilai R = c and 255 216298 and 255 = 234 Nilai G = c and 65.280256 216298 and 65.280256 = 76 Nilai B = c and 16.711.680256256 216298 and 16.711.680256256 = 1 Pixel 4,3: Nilai R = c and 255 131306 and 255 = 234 Nilai G = c and 65.280256 131306 and 65.280256 = 0 Nilai B = c and 16.711.680256256 131306 and 16.711.680256256 = 2 Pixel 4,4: Nilai R = c and 255 38476 and 255 = 76 Nilai G = c and 65.280256 38476 and 65.280256 = 150 Nilai B = c and 16.711.680256256 38476 and 16.711.680256256 = 0 Langkah di atas dilakukan sampai pixel 4,4 dan nilai RBG dimasukkan ke dalam matriks RGB citra seperti pada Tabel 3.8. Tabel 3.8 Hasil Matriks Citra Iris RGB

x,y 1