Image processing method for object recognition and dynamic scene understanding
First Claim
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);
storing the first DPFT image in a memory;
projectively transforming the log-polar coordinates of the DPFT image; and
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.
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Abstract
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.
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Citations
17 Claims
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1. A method of processing an image for pattern recognition and three-dimensional scene resolution, comprising:
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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);storing the first DPFT image in a memory; projectively transforming the log-polar coordinates of the DPFT image; and 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. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A system processing an image for pattern recognition and three-dimensional scene resolution, comprising:
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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); logic for storing the first DPFT image in the memory logic for projectively transforming the log-polar coordinates of the DPFT image; and 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. - View Dependent Claims (8, 9, 10, 11, 12)
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13. A computer programming product for processing an image for pattern recognition and three-dimensional scene resolution, comprising:
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a computer-readable 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); logic, stored on the memory, for storing the first DPFT image in the memory logic, stored on the memory, for projectively transforming 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. - View Dependent Claims (14, 15, 16, 17)
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Specification