Television – Format conversion
Patent
1998-04-30
2000-05-30
Kostak, Victor R.
Television
Format conversion
382300, H04N 701
Patent
active
060696613
ABSTRACT:
A method and arrangement for computing values of pixels arranged outside a 2-dimensional scanning raster of pixels having pixel values of a digital picture signal, where at least 3 of 4 reference pixels arranged around the searched pixel are determined for computing a searched pixel value s.sub.i (x.sub.0 +.DELTA.x,y.sub.0 +.DELTA.y). A polynomial p(x,y) in the form c.sub.m-1 x.sup.am-1 y.sup.bm-1 +c.sub.m-2 x.sup.am-2 y.sup.bm-2 + . . . +c.sub.2 x+c.sub.1 y+c.sub.0 is constituted corresponding to their values. Next, k 1st derivatives .delta.s(x,y)/.delta.x in the x-direction and .delta.s(x,y)/.delta.x in the y-direction are formed from at least one of the reference pixel values. Then, a matrix is formed whose elements consist of the values of the basic functions x.sup.am-1 y.sup.bm-1,x.sup.am-2 y.sup.bm-2, . . . x,y,1 of the polynomial at at least 3 of the reference pixels and the k 1st derivatives .delta.p(x,y)/.delta.x in the x-direction and .delta.p(x,y)/.delta.y in the y-direction of the basic functions at at least one of the reference pixel values. The basic functions are allocated to a reference pixel or a 1st derivative of a reference pixel in one matrix row. An inverse or pseudo-inverse matrix is formed from the matrix by means of inversion and multiplied by an observation vector for determining the polynomial coefficients c.sub.m-1 through c.sub.0. The polynomial coefficients are introduced into polynomial p(x,y) and the new pixel value s.sub.i (x.sub.0 +.DELTA.x,y.sub.0 +.DELTA.y) is computed from the function value of the polynomial p(.DELTA.x,.DELTA.y) at the location (.DELTA.x, .DELTA.y).
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Kostak Victor R.
U.S. Philips Corporation
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