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:
Jun. 28, 2005
Filed:
May. 29, 2001
David Jeremy Copeland, Frankfort, KY (US);
Richard E. Crandall, Portland, OR (US);
Ulrich Hofmann, Castro Valley, CA (US);
Richard L. Lozes, Pleasanton, CA (US);
David Jeremy Copeland, Frankfort, KY (US);
Richard E. Crandall, Portland, OR (US);
Ulrich Hofmann, Castro Valley, CA (US);
Richard L. Lozes, Pleasanton, CA (US);
Applied Materials, Inc., Santa Clara, CA (US);
Abstract
A fast convolution method applicable to convolving a signal (indicative of an n-dimensional pattern, where n is greater than or equal to two) with a smooth kernel that can be approximated by a separated-spline kernel, and a system configured to perform such method using software or signal processing circuitry. Unlike Fourier-based convolution methods which require on the order of N log N arithmetic operations for a signal of length N, the method of the invention requires only on the order of N arithmetic operations to do so. Unlike wavelet-based convolution approximations (which typically also require more arithmetic operations than are required in accordance with the invention to convolve the same signal), the method of the invention is exact for convolution kernels which are spline kernels.