A <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.199599pt" id="M1" height="16.4602pt" version="1.1" viewBox="-0.0657574 -12.2606 10.8635 16.4602" width="10.8635pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-109" d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"/></g><g transform="matrix(.012,0,0,-0.012,4.187,4.134)"><path id="g50-50" d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"/></g></svg> Norm Based Image Prior Combination in Multiframe Superresolution

<div>(a) PSNR and (b) SSIM of the reconstructed images from the image in Figure <a href="../fig2/#b">2(b)</a>, for our proposed method, using second-order combinations: case 1 <span class="nowrap"><svg height="12.5794pt" id="M312" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 32.8408 12.5794" width="32.8408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path></g><g transform="matrix(.013,0,0,-0.013,4.511,0)"><path d="M52 442L22 406L27 394H92V108C92 45 88 39 30 32V0H302V32C227 39 220 45 220 108V394H321C335 401 339 431 335 442H220L218 477C214 562 214 597 220 616C224 631 233 642 251 642C279 642 311 617 335 593C345 583 355 583 369 593C384 605 395 618 399 629C406 644 405 659 391 673C374 689 349 701 309 703C261 697 226 679 190 649C133 601 112 553 105 531C97 507 92 486 92 464V442H52Z" id="g13-100"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.814,3.132)"><path d="M141 347C171 480 264 541 327 570C364 587 403 599 436 605L429 641C389 634 339 622 300 609C191 570 37 458 37 239C37 86 126 -12 245 -12C367 -12 454 89 454 210C454 314 380 397 272 397C252 397 230 390 208 380L141 347ZM231 338C323 338 366 257 366 174C366 108 340 27 263 27C180 27 129 123 129 244C129 268 130 292 135 310C158 323 193 338 231 338Z" id="g50-55"></path></g><g transform="matrix(.013,0,0,-0.013,13.76,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path></g><g transform="matrix(.013,0,0,-0.013,18.904,0)"><path d="M52 442L22 406L27 394H92V108C92 45 88 39 30 32V0H302V32C227 39 220 45 220 108V394H321C335 401 339 431 335 442H220L218 477C214 562 214 597 220 616C224 631 233 642 251 642C279 642 311 617 335 593C345 583 355 583 369 593C384 605 395 618 399 629C406 644 405 659 391 673C374 689 349 701 309 703C261 697 226 679 190 649C133 601 112 553 105 531C97 507 92 486 92 464V442H52Z" id="g13-100"></path></g><g transform="matrix(.0091,0,0,-0.0091,23.207,3.132)"><path d="M453 623H65C60 580 56 530 46 472H80C103 538 110 548 175 548H389C310 380 195 168 90 0L98 -12L175 -2C273 206 366 408 462 610L453 623Z" id="g50-56"></path></g><g transform="matrix(.013,0,0,-0.013,28.153,0)"><path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path></g></svg>,</span> case 2 <span class="nowrap"><svg height="12.5794pt" id="M313" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 18.421 12.5794" width="18.421pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path></g><g transform="matrix(.013,0,0,-0.013,4.511,0)"><path d="M52 442L22 406L27 394H92V108C92 45 88 39 30 32V0H302V32C227 39 220 45 220 108V394H321C335 401 339 431 335 442H220L218 477C214 562 214 597 220 616C224 631 233 642 251 642C279 642 311 617 335 593C345 583 355 583 369 593C384 605 395 618 399 629C406 644 405 659 391 673C374 689 349 701 309 703C261 697 226 679 190 649C133 601 112 553 105 531C97 507 92 486 92 464V442H52Z" id="g13-100"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.814,3.132)"><path d="M158 548H390L417 615L410 623H122L83 318C105 326 143 337 185 337C296 337 350 275 350 188C350 116 308 42 225 42C164 42 122 74 100 93C90 101 82 99 72 92C60 82 51 68 50 59C48 46 52 38 66 24C82 9 125 -12 172 -12C225 -11 292 15 346 59C408 108 437 166 437 226C437 309 371 397 242 397C214 397 170 382 133 369L158 548Z" id="g50-54"></path></g><g transform="matrix(.013,0,0,-0.013,13.76,0)"><path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path></g></svg>,</span> and case 3 <span class="nowrap"><svg height="12.5794pt" id="M314" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 32.8408 12.5794" width="32.8408pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path></g><g transform="matrix(.013,0,0,-0.013,4.511,0)"><path d="M52 442L22 406L27 394H92V108C92 45 88 39 30 32V0H302V32C227 39 220 45 220 108V394H321C335 401 339 431 335 442H220L218 477C214 562 214 597 220 616C224 631 233 642 251 642C279 642 311 617 335 593C345 583 355 583 369 593C384 605 395 618 399 629C406 644 405 659 391 673C374 689 349 701 309 703C261 697 226 679 190 649C133 601 112 553 105 531C97 507 92 486 92 464V442H52Z" id="g13-100"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.814,3.132)"><path d="M253 635C142 635 71 555 71 471C71 401 113 353 178 316C144 294 106 267 91 252C70 231 46 202 46 157C46 51 132 -12 241 -12C328 -12 442 52 442 168C442 257 379 305 311 343C354 373 380 398 388 407C406 428 417 458 417 487C417 568 348 635 253 635ZM240 600C288 600 340 563 340 481C340 423 313 387 279 360C207 394 148 427 148 499C148 549 182 600 240 600ZM252 23C188 23 129 73 129 163C129 217 162 266 211 298C289 260 360 217 360 144C360 69 312 23 252 23Z" id="g50-57"></path></g><g transform="matrix(.013,0,0,-0.013,13.76,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path></g><g transform="matrix(.013,0,0,-0.013,18.904,0)"><path d="M52 442L22 406L27 394H92V108C92 45 88 39 30 32V0H302V32C227 39 220 45 220 108V394H321C335 401 339 431 335 442H220L218 477C214 562 214 597 220 616C224 631 233 642 251 642C279 642 311 617 335 593C345 583 355 583 369 593C384 605 395 618 399 629C406 644 405 659 391 673C374 689 349 701 309 703C261 697 226 679 190 649C133 601 112 553 105 531C97 507 92 486 92 464V442H52Z" id="g13-100"></path></g><g transform="matrix(.0091,0,0,-0.0091,23.207,3.132)"><path d="M247 635C116 635 39 518 39 421C39 315 113 237 221 237C239 237 258 241 281 253L349 289C315 140 204 42 60 19L66 -15C90 -15 153 -5 207 16C344 70 447 199 447 385C447 521 373 635 247 635ZM231 598C329 598 356 478 356 390C356 371 355 347 352 325C330 309 297 297 262 297C179 297 127 369 127 456C127 515 156 598 231 598Z" id="g50-58"></path></g><g transform="matrix(.013,0,0,-0.013,28.153,0)"><path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path></g></svg>.</span></div>

Mathematical Problems in Engineering

fig4

Figure 4

Figure 4: A <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.199599pt" id="M1" height="16.4602pt" version="1.1" viewBox="-0.0657574 -12.2606 10.8635 16.4602" width="10.8635pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-109" d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"/></g><g transform="matrix(.012,0,0,-0.012,4.187,4.134)"><path id="g50-50" d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"/></g></svg> Norm Based Image Prior Combination in Multiframe Superresolution 

Mathematical Problems in Engineering

A Norm Based Image Prior Combination in Multiframe Superresolution

Figure 4