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Steerable filter

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used for image enhancement and feature extraction that can be expressed via a linear combination of a small set of rotated versions of itself. As an example, the oriented first derivative of a 2D Gaussian is a steerable filter. The oriented first order derivative can be obtained by taking the
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of a unit vector oriented in a specific direction with the gradient. The basis filters are the partial derivatives of a 2D Gaussian with respect to
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Steerable filters may be designed as approximations of a given filter shape up to a desired error or computational complexity.
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The process by which the oriented filter is synthesized at any given angle is known as
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for antenna arrays. Applications of steerable filters include
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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may be too technical for most readers to understand
284: 264: 436: 8: 327:Freeman, W. T. & Adelson, E. H. (1991). 53:Learn how and when to remove these messages 16:Convolution kernel used in image processing 443: 429: 329:"The design and use of steerable filters" 277: 257: 223:Learn how and when to remove this message 205:Learn how and when to remove this message 103:Learn how and when to remove this message 87:, without removing the technical details. 319: 299:, which is used in similar sense as in 363:"Deformable kernels for early vision" 85:make it understandable to non-experts 7: 397: 395: 143:adding citations to reliable sources 467:Feature detection (computer vision) 14: 34:This article has multiple issues. 399: 119: 64: 23: 130:needs additional citations for 42:or discuss these issues on the 1: 415:. You can help Knowledge by 243:is an orientation-selective 488: 394: 472:Applied mathematics stubs 411:-related article is a 286: 266: 287: 267: 276: 256: 139:improve this article 409:applied mathematics 361:Perona, P. (1995). 237:applied mathematics 282: 262: 245:convolution kernel 154:"Steerable filter" 424: 423: 382:10.1109/34.391394 285:{\displaystyle y} 265:{\displaystyle x} 233: 232: 225: 215: 214: 207: 189: 113: 112: 105: 57: 479: 462:Image processing 445: 438: 431: 403: 396: 386: 385: 367: 358: 352: 351: 348:10.1109/34.93808 333: 324: 291: 289: 288: 283: 271: 269: 268: 263: 241:steerable filter 228: 221: 210: 203: 199: 196: 190: 188: 147: 123: 115: 108: 101: 97: 94: 88: 68: 67: 60: 49: 27: 26: 19: 487: 486: 482: 481: 480: 478: 477: 476: 452: 451: 450: 449: 392: 390: 389: 365: 360: 359: 355: 331: 326: 325: 321: 316: 274: 273: 254: 253: 229: 218: 217: 216: 211: 200: 194: 191: 148: 146: 136: 124: 109: 98: 92: 89: 81:help improve it 78: 69: 65: 28: 24: 17: 12: 11: 5: 485: 483: 475: 474: 469: 464: 454: 453: 448: 447: 440: 433: 425: 422: 421: 404: 388: 387: 376:(5): 488–499. 353: 342:(9): 891–906. 318: 317: 315: 312: 305:edge detection 281: 261: 231: 230: 213: 212: 127: 125: 118: 111: 110: 72: 70: 63: 58: 32: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 484: 473: 470: 468: 465: 463: 460: 459: 457: 446: 441: 439: 434: 432: 427: 426: 420: 418: 414: 410: 405: 402: 398: 393: 383: 379: 375: 371: 364: 357: 354: 349: 345: 341: 337: 330: 323: 320: 313: 311: 308: 306: 302: 301:beam steering 298: 293: 279: 259: 251: 246: 242: 238: 227: 224: 209: 206: 198: 195:November 2011 187: 184: 180: 177: 173: 170: 166: 163: 159: 156: –  155: 151: 150:Find sources: 144: 140: 134: 133: 128:This article 126: 122: 117: 116: 107: 104: 96: 93:November 2011 86: 82: 76: 73:This article 71: 62: 61: 56: 54: 47: 46: 41: 40: 35: 30: 21: 20: 417:expanding it 406: 391: 373: 369: 356: 339: 335: 322: 309: 296: 294: 240: 234: 219: 201: 192: 182: 175: 168: 161: 149: 137:Please help 132:verification 129: 99: 90: 74: 50: 43: 37: 36:Please help 33: 250:dot product 456:Categories 314:References 165:newspapers 39:improve it 45:talk page 297:steering 179:scholar 79:Please 181:  174:  167:  160:  152:  407:This 366:(PDF) 332:(PDF) 186:JSTOR 172:books 413:stub 272:and 239:, a 158:news 378:doi 344:doi 235:In 141:by 83:to 458:: 374:17 372:. 368:. 340:13 338:. 334:. 292:. 48:. 444:e 437:t 430:v 419:. 384:. 380:: 350:. 346:: 280:y 260:x 226:) 220:( 208:) 202:( 197:) 193:( 183:· 176:· 169:· 162:· 135:. 106:) 100:( 95:) 91:( 77:. 55:) 51:(

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verification
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adding citations to reliable sources
"Steerable filter"
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newspapers
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JSTOR
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applied mathematics
convolution kernel
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beam steering
edge detection
"The design and use of steerable filters"
doi
10.1109/34.93808
"Deformable kernels for early vision"
doi
10.1109/34.391394
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