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.., .. .. , , http://imaging.cs.msu.ru -- , . 1. . , , , , . . , , [1]. , . , (. . 1) [2, 3]. , , , . , . . , .

. 1. () (). 2. z : Ak z uk , k 1,2,..., N , (1)


u k -- . Ak Ak z DHcam Fk H atm z n [4], H a tm -- , Fk -- , H ca m -- ( ), D -- (), n -- . H a tm H ca m H , Ak Ak z DFk Hz . (2) Fk [5], [6]. , . (1) , . , , . , [7]. , - , . , [8] z H Hz , z H 1 z H . . 3. (2) z u k , {(i, j ) : i, j } . Fk . Fk ( Hz)(i, j ) ( Hz)( ~ik j , ~ik, j ) . x, y D

s -- D( Hz)( x, y) ( Hz)(sx, sy) , k k k k k k DFk ( Hz)(i, j ) ( Hz)( ~si,sj , ~si,sj ) ( Hz)( xi , j , yi , j ) . ( ~si,sj , ~si,sj ) x y x y
( xik, j , yik, j ) .

k i, j k i, j



,




k i, j


k i, j k i, j

Ak z

(2):

( Ak z )(i, j ) ( Hz)( x , y ) (1) ( Hz)( x , y ) u . , Hz: ( Hz)( xn , yn ) wn . (3) , : Hz , ( xn , yn ) , wn (. . 2).

. 2. (3). , , -- , -- . z H 1 ( Hz) , [8].


4. , . . , , , [8]:

Hz(i, j )


n n

wn e e




( xn i )2 ( yn j ) 2 2
2

2



( xn i )2 ( yn j ) 2 2

,

(4)

. ( xn , yn ), . , [9]. (. . 2). bk , k 1,..., K , , , b( k 1) / 2 , k (bk / 2 bk / 21 ) / 2 , k . , . , . bk ck . ck , (4): ck exp (( xk i)2 ( yk j )2 ) /( 2 2 ) . : (ck , bk ) bk , m,


k 1

m 1

ck S / 2,


k 1

m

ck S / 2,

S


k 1

K

ck .

bm . : , . . , . [­1, 1] , -- [­0.25, 0.25]. , [10]. BEP (Basic Edges Points) ( ) , BEN (Basic Edges Neighborhood) -- , . .


35.0 / 5.63

25.73 / 0.22

20.09 / 0.30

9.73 / 4.47 9.08 / 3.66 6.89/ 3.94 (4) BEP BEN . 3. 2 . 16 , 1.2 . BEP / BEN ( , ). : -- BEP, -- BEN, -- . , . , . « - » 2009­2013 09-01-92474-MHKC. 1. J.A. Leitao, M. Zhao, G. de Haan Content-Adaptive Video Up-Scaling for HighDefinition Displays // Proceedings of IVCP 2003, vol. 5022, January 2003. 2. K. Malczewski, R. Stasinski Super Resolution for Multimedia, Image, and Video Processing Applications // Recent Advances in Multimedia Signal Processing and Communications, Vol. 231, 2009, pp. 171­208. 3. S. Borman, R.L. Stevenson Super-Resolution from Image Sequences -- A Review // Midwest Symposium on Circuits and Systems, 1998, pp. 374­378. 4. S. Farsiu, D. Robinson, M. Elad, P. Milanfar Fast and Robust Multi-Frame SuperResolution // IEEE Trans. Image Processing, Vol. 13, No. 10, 2004, pp. 1327­1344. 5. H.V. Le, G. Seetharaman A Super-Resolution Imaging Method Based on Dense Subpixel-Accurate Motion Fields // Proceedings of the Third International Workshop on Digital and Computational Video, 2002, pp. 35­42. 6. A. Bruhn, J. Weickert, C. Shnorr Lucas/Kanade Meets Horn/Schunck: Combining Local and Global Optic Flow Methods // Int. J. Comp. Vis., Vol. 61, N 3, 2005, pp. 211­231. 7. .. , .. . . ., 1979. 8. A.S. Krylov, A.V. Nasonov, O.S. Ushmaev Video super-resolution with fast deconvolution // Pattern Recognition and Image Analysis, 2009, Vol. 19, No. 3, pp. 497-500. 9. A. SАnchez-Beato, G. Pajares Robust Super-Resolution Using a Median Filter for Irregular Samples // Lecture Notes in Computer Science, Vol. 5524, 2009, pp. 298­305. 10. A.V. Nasonov, A.S. Krylov Adaptive Image Deringing // Proceedings of GraphiCon'2009, Moscow, Russia, October 2009, pp. 151-154.