Image processing method for object recognition and dynamic scene understanding
원문보기
IPC분류정보
국가/구분
United States(US) Patent
공개
국제특허분류(IPC7판)
G06K-009/76
G06K-009/36
출원번호
US-0120607
(2005-05-03)
공개번호
US-0244059
(2005-11-03)
발명자
/ 주소
Turski, Jacek
대리인 / 주소
FORTKORT GRETHER + KELTON LLP
인용정보
피인용 횟수 :
0인용 특허 :
0
초록▼
Provided is a method for digital image representation based upon Discrete Projective Fourier Transform (DPFT) constructed in the noncompact (DNPFT) and compact (DCPFT) realizations of geometric Fourier analysis on SL(2,C) groups. Novel characteristics are that the model is well adapted to perspectiv
Provided is a method for digital image representation based upon Discrete Projective Fourier Transform (DPFT) constructed in the noncompact (DNPFT) and compact (DCPFT) realizations of geometric Fourier analysis on SL(2,C) groups. Novel characteristics are that the model is well adapted to perspective image transformations and well adapted to the retinotopic (conformal) mapping of the biological visual system. To compute the DPFT of a digital image by Fast Fourier transform (FFT), an image is re-sampled with a non-uniform log-polar sampling geometry. A “deconformalization” procedure corrects the “conformal lens optics” of the conformal camera to render image perspective transformations. DNPFT computes the convolution in the noncompact realization defined over 2-dimensional rotations in the image plane and dilations while the DCPFT computes the convolution in the compact realization (which is defines over all 3-dimensional rotations) and therefore provides basis for developing projectively invariant under all rotations object matching.
대표청구항▼
1. A method of processing an image for pattern recognition and three-dimensional scene resolution, comprising: receiving a first digitized image; creating a first discrete projective Fourier transform (DPFT) image in log-polar coordinates of the first digitized image using a fast Fourier transform (
1. A method of processing an image for pattern recognition and three-dimensional scene resolution, comprising: receiving a first digitized image; creating a first discrete projective Fourier transform (DPFT) image in log-polar coordinates of the first digitized image using a fast Fourier transform (FFT); and storing the first DPFT image in a memory. 2. The method of claim 1, the receiving a first digitized image comprising: capturing an analog image on an image plane; and digitizing the captured image. 3. The method of claim 1, wherein the digitized image is produced by a silicon retina. 4. The method of claim 1, further comprising: projectively transform the log-polar coordinates of the DPFT image; computing an inverse DPFT image of the projectively transformed log-polar coordinates of the DPFT image using a non-uniform FFT to produce a projective transformation of the first digitized image. 5. The method of claim 4, further comprising: correcting the projective transformation for conformal distortions to obtain a an image perspective transformation. 6. The method of claim 1, further comprising: receiving a second digitized image; creating a second DPFT image in log-polar coordinates of the second digitized image using a FFT; producing a product by multiplying the first DPFT image and the second DPFT image; computing the an inverse DPFT of the product using FFT to create a projective convolution; and determining whether or not the first image is a projectively independent match of the second image based upon the projective convolution. 7. The method of claim 6, further comprising determining a physical location relative to a capture location of the first image based upon a determination of a projectively independent match between the first image and the second image. 8. A system processing an image for pattern recognition and three-dimensional scene resolution, comprising: a processor; a memory coupled to the processor; logic for receiving a first digitized image; logic for creating a first discrete projective Fourier transform (DPFT) in log-polar coordinates of the first digitized image using a fast Fourier transform (FFT); and logic for storing the first DPFT image in the memory. 9. The system of claim 8, the logic for receiving a first digitized image comprising: logic for capturing an analog image on an image plane; and logic for digitizing the captured image. 10. The system of claim 8, further comprising a silicon retina wherein the digitized image is produced by the silicon retina. 11. The system of claim 8, further comprising: logic for projectively transform the log-polar coordinates of the DPFT image; logic for computing an inverse DPFT image of the projectively transformed log-polar coordinates of the DPFT image using a non-uniform FFT to produce a projective transformation of the first digitized image. 12. The system of claim 11, further comprising: logic for correcting the image transformation for conformal distortions to obtain a an image perspective transformation. 13. The system of claim 8, further comprising: logic for receiving a second digitized image; logic for creating a second DPFT image in log-polar coordinates of the second digitized image using a FFT; logic for producing a product by multiplying the first DPFT image and the second DPFT image; logic for computing the an inverse DPFT of the product using FFT to create a projective convolution; and logic for determining whether or not the first image is a projectively independent match of the second image based upon the projective convolution. 14. The system of claim 13, further comprising logic for determining a physical location relative to a capture location of the first image based upon a determination of a projectively independent match between the first image and the second image. 15. A computer programming product for processing an image for pattern recognition and three-dimensional scene resolution, comprising: a memory; logic, stored on the memory, for receiving a first digitized image; logic, stored on the memory, for creating a first discrete projective Fourier transform (DPFT) in log-polar coordinates of the first digitized image using a fast Fourier transform (FFT); and logic, stored on the memory, for storing the first DPFT image in the memory. 16. The computer programming product of claim 15, the logic for receiving a first digitized image comprising: logic, stored on the memory, for capturing an analog image on an image plane; and logic, stored on the memory, for digitizing the captured image. 17. The computer programming product of claim 15, further comprising: logic, stored on the memory, for projectively transform the log-polar coordinates of the DPFT image; logic, stored on the memory, for computing an inverse DPFT image of the projectively transformed log-polar coordinates of the DPFT image using a non-uniform FFT to produce a projective transformation of the first digitized image. 18. The computer programming product of claim 17, further comprising: logic, stored on the memory, for correcting the image transformation for conformal distortions to obtain a an image perspective transformation. 19. The computer programming product of claim 15, further comprising: logic, stored on the memory, for receiving a second digitized image; logic, stored on the memory, for creating a second DPFT image in log-polar coordinates of the second digitized image using a FFT; logic, stored on the memory, for producing a product by multiplying the first DPFT image and the second DPFT image; logic, stored on the memory, for computing the an inverse DPFT of the product using FFT to create a projective convolution; and logic, stored on the memory, for determining whether or not the first image is a projectively independent match of the second image based upon the projective convolution. 20. The computer programming product of claim 19, further comprising logic, stored on the memory, for determining a physical location relative to a capture location of the first image based upon determination of a projectively independent match between the first image and the second image.
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