The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
May. 30, 2000
Filed:
Apr. 30, 1998
Achim Ibenthal, Elmshorn, DE;
U.S. Philips Corporation, New York, NY (US);
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).