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:
Sep. 28, 1999
Filed:
Apr. 18, 1997
Age J Van Dalfsen, Eindhoven, NL;
U.S. Philips Corporation, New York, NY (US);
Abstract
A one-dimensional p-th order spline waveform (Cw) extending along the width or height of a picture device display screen is generated as a chain of sections of p-th order sub-functions (Sfi) of a position address (P). If n predetermined values (ai) are available, n-p p-th order sub-functions (Sfi) can be generated each in one of n-p sections (Si). q.gtoreq.(p+1) values (asi) are selected from an array containing the n predetermined values (ai) and then the q selected values (asi) are converted into sub-function coefficients (bi) determining each of the p-th order sub-functions (Sfi). Each of the p-th order sub-functions (Sfi) can be written as a linear combination of polynomials of the position address (P) multiplied with associated sub-function coefficients (bi). Further, each of the p-th order sub-functions (Sfi) can be imagined to be obtained by an addition, in a section (Si), of portions (pi) of basic functions (Fbi) each multiplied by an associated one of the predetermined values (ai). The basic functions (Fbi) are p-th order spline functions. Each of the portions (pi) of the basic functions (Fbi) is written as a linear combination of portion coefficients (cij) corresponding to polynomials of the position address (P). The polynomials range from zero order up to the p-th order. The portion coefficients (cij) determine the shape of the basic p-th order spline functions (Fbi). Each of the sub-function coefficients (bi) can be calculated from the selected values (asi) by multiplying a matrix including the portion coefficients (cij) with the selected values (asi). The matrix must be a spline matrix to obtain sub-functions (Sfi) together composing the spline waveform (Cw). The process of converting the selected values into one of the sub-function coefficients is the same in every section (Si) since a fixed matrix of portion coefficients (cij) or multiplication factors is used.