Moving video image estimation system
First Claim
1. A moving video image estimation system comprising:
- moment calculating means for calculating primary and secondary moments of a video image;
affine transformation calculating means utilizing an output of said moment calculating means to determine affine transformation (G) by which a first frame video image (I1) is geometrically transformed into a second frame video image (I2);
affine transformation continuing means for multiplying by a constant (t) an infinitesimal transformation (A), given by the relation G=exp(A), and obtaining an exponential transformation {exp(At)} as a continued affine transformation; and
affine transformation executing means for performing said continued affine transformation {exp(At)} to thereby obtain a video image of a time after an arbitrary time (t) from a time corresponding to said first frame video image.
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Abstract
A moving video image estimation system wherein based on an original video image of time n and time n+1, the centroid, the principal axix of inertia, the moment about the principal axis of inertia and the moment about the axis perpendicular to the principal axis of inertia are obtained. By using this information, an affine transformation for transforming the original video image at time n to the original video image at time n+1 is obtained. Based on the infinitesimal transformation (A), {exp (At), and exp (A(t-1))} obtained by making the affine transformation continuous with regard to time is executed on the original video image at time n and time n+1. The results are synthesized to perform an interpolation between the frames. {exp (a(t-1))} is applied to the original video system time n+1. The video image after time n+1 is thereby protected.
78 Citations
15 Claims
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1. A moving video image estimation system comprising:
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moment calculating means for calculating primary and secondary moments of a video image; affine transformation calculating means utilizing an output of said moment calculating means to determine affine transformation (G) by which a first frame video image (I1) is geometrically transformed into a second frame video image (I2); affine transformation continuing means for multiplying by a constant (t) an infinitesimal transformation (A), given by the relation G=exp(A), and obtaining an exponential transformation {exp(At)} as a continued affine transformation; and affine transformation executing means for performing said continued affine transformation {exp(At)} to thereby obtain a video image of a time after an arbitrary time (t) from a time corresponding to said first frame video image. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. An moving video image estimation system comprising:
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moment calculating means for calculating primary and secondary moments of a video image; affine transformation calculating means utilizing an output of said moment calculating means for determining an affine transformation (G) by which a first frame video image (I1) is geometrically transformed into a second frame video image (I2); first affine transformation continuing means for multiplying by a constant (t) and infinitesimal transformation (A), given by the relation of G=exp(A) with respect to said affine transformation (G) and for obtaining and exponential transformation {exp(At)}; second affine transformation continuing means for multiplying said infinitesimal transformation (A) by another constant (t-1) and obtaining an exponential transformation {exp(A(t-1))}; and affine transformation executing means for obtaining a video image at an arbitrary time (t) between said first and second frames as a linear sum of results which is provided by executing a transformation {exp(At)}, provided as an output of said first affine transformation continuing means, onto said first frame video image (I1) and of a result which is provided by executing a transformation {exp(A(t-1)}, provided as an output of said second affine transformation continuing means, onto said second frame video image (I2). - View Dependent Claims (9, 10, 11, 12, 13, 14, 15)
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Specification