WO2002097655A3 - Fast signal convolution using separated -spline kernel - Google Patents

Fast signal convolution using separated -spline kernel Download PDF

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Publication number
WO2002097655A3
WO2002097655A3 PCT/US2002/016475 US0216475W WO02097655A3 WO 2002097655 A3 WO2002097655 A3 WO 2002097655A3 US 0216475 W US0216475 W US 0216475W WO 02097655 A3 WO02097655 A3 WO 02097655A3
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WO
WIPO (PCT)
Prior art keywords
convolution
separated
signal
arithmetic operations
spline
Prior art date
Application number
PCT/US2002/016475
Other languages
French (fr)
Other versions
WO2002097655A2 (en
Inventor
David Jeremy Copeland
Richard E Crandall
Ulrich Hofmann
Richard L Lozes
Original Assignee
Applied Materials Inc
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from US09/866,890 external-priority patent/US6912323B2/en
Application filed by Applied Materials Inc filed Critical Applied Materials Inc
Priority to KR1020037015469A priority Critical patent/KR100839391B1/en
Priority to EP02774117A priority patent/EP1527397A2/en
Priority to JP2003500767A priority patent/JP2005517999A/en
Publication of WO2002097655A2 publication Critical patent/WO2002097655A2/en
Publication of WO2002097655A3 publication Critical patent/WO2002097655A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00—Image enhancement or restoration
    • G06T5/20—Image enhancement or restoration using local operators
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/15—Correlation function computation including computation of convolution operations

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Data Mining & Analysis (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Complex Calculations (AREA)
  • Image Processing (AREA)

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 cirucitry. 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.
PCT/US2002/016475 2001-05-29 2002-05-24 Fast signal convolution using separated -spline kernel WO2002097655A2 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
KR1020037015469A KR100839391B1 (en) 2001-05-29 2002-05-24 Fast signal convolution using separated-spline kernel
EP02774117A EP1527397A2 (en) 2001-05-29 2002-05-24 Fast signal convolution using separated-spline kernel
JP2003500767A JP2005517999A (en) 2001-05-29 2002-05-24 Method and apparatus for fast signal convolution using separated spline kernels

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US09/866,890 US6912323B2 (en) 2000-01-11 2001-05-29 Method and apparatus for fast signal convolution using separated-spline kernel
US09/866,890 2001-05-29

Publications (2)

Publication Number Publication Date
WO2002097655A2 WO2002097655A2 (en) 2002-12-05
WO2002097655A3 true WO2002097655A3 (en) 2005-03-03

Family

ID=25348651

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2002/016475 WO2002097655A2 (en) 2001-05-29 2002-05-24 Fast signal convolution using separated -spline kernel

Country Status (5)

Country Link
EP (1) EP1527397A2 (en)
JP (1) JP2005517999A (en)
KR (1) KR100839391B1 (en)
TW (1) TWI220482B (en)
WO (1) WO2002097655A2 (en)

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI645335B (en) * 2016-11-14 2018-12-21 耐能股份有限公司 Convolution operation device and convolution operation method
TWI616813B (en) * 2016-11-14 2018-03-01 耐能股份有限公司 Convolution operation method

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2001052101A2 (en) * 2000-01-11 2001-07-19 Etec Systems, Inc. Method and apparatus for fast signal convolution using spline kernel

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
AUPO478897A0 (en) * 1997-01-24 1997-02-20 Canon Information Systems Research Australia Pty Ltd Scan line rendering of convolutions

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2001052101A2 (en) * 2000-01-11 2001-07-19 Etec Systems, Inc. Method and apparatus for fast signal convolution using spline kernel

Non-Patent Citations (6)

* Cited by examiner, † Cited by third party
Title
BLOOMENTHAL J ET AL: "Convolution surfaces", COMPUTER GRAPHICS, vol. 25, no. 4, July 1991 (1991-07-01), ACM PRESS, NEW YORK, NY, USA, pages 251 - 256, XP002311802, ISSN: 0097-8930 *
BOEGLI V ET AL: "Implementation of real-time proximity effect correction in a raster shaped beam tool", JOURNAL OF VACUUM SCIENCE AND TECHNOLOGY - PART B, vol. 18, no. 6, November 2000 (2000-11-01), AMERICAN VACUUM SOCIETY, NEW YORK, NY, USA, pages 3138 - 3142, XP012008532, ISSN: 0734-211X *
FERRARI L A ET AL: "Minimum complexity FIR filters and sparse systolic arrays", IEEE TRANSACTIONS ON COMPUTERS, vol. 37, no. 6, June 1988 (1988-06-01), IEEE, NEW YORK, NY, USA, pages 760 - 764, XP000002704, ISSN: 0018-9340 *
GROVES T R: "Efficiency of electron-beam proximity effect correction", JOURNAL OF VACUUM SCIENCE AND TECHNOLOGY - PART B, vol. 11, no. 6, November 1993 (1993-11-01), AMERICAN VACUUM SOCIETY, NEW YORK, NY, USA, pages 2746 - 2753, XP002090129, ISSN: 1071-1023 *
KOLLIAS S D ET AL: "A model reduction algorithm by spline approximation in the deconvolution of seismic signals", PROCEEDINGS OF ICASSP 83. IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING 1983, vol. 8, April 1983 (1983-04-01), IEEE, NEW YORK, NY, USA, pages 1013 - 1016, XP002311800 *
WANG Y P ET AL: "Scale-space derived from B-splines", IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, vol. 20, no. 10, October 1998 (1998-10-01), IEEE, NEW YORK, NY, USA, pages 1040 - 1055, XP002311801, ISSN: 0162-8828 *

Also Published As

Publication number Publication date
KR100839391B1 (en) 2008-06-20
JP2005517999A (en) 2005-06-16
EP1527397A2 (en) 2005-05-04
WO2002097655A2 (en) 2002-12-05
KR20040011514A (en) 2004-02-05
TWI220482B (en) 2004-08-21

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