Image processing apparatus and method
First Claim
1. An image processing apparatus comprising:
- input means for entering an image;
transformation means for transforming data of the input image, which is represented by a function on a two-dimensional plane entered by said input means, to a complex function;
detecting means for detecting a pole of the complex function transformed by said transformation means;
dividing means for dividing a domain of the complex function into a plurality of subdomains based upon a position of each pole detected by said detecting means; and
arithmetic means for calculating corresponding to each of the plurality of subdomains, a polynomial expansion of finite degree approximating the complex function about the pole in the respective subdomain.
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Abstract
A transformation unit 102 transforms an entered image to multi-resolution space. A quantizer 105 performs vector quantization on a local pattern of an image of a multi-resolution representation. A perspective-order calculating unit 107 extracts a plurality of code words, positions corresponding thereto and/or angle of rotation and/or scale, and the perspective-order relationship of a plurality of these representative vectors, from the quantized image. An algebraic encoder 108 encodes the input image based upon the extracted information. As a result, there are provided an image processing apparatus and method for asymmetric encoding without motion in three dimensions and extraction of a three-dimensional structure. Further, a transformation unit 1103 transforms an entered image to vector field, and a singularity detector 1104 detects a singularity in the transformed image. A transformation encoder 1105 partitions the vector field into areas which include detected feature points, and each area is encoded by functional approximation. As a result, a finite number of feature points can be obtained with ease and an image processing apparatus and method exhibiting strong resistance to the effects of noise are provided.
57 Citations
18 Claims
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1. An image processing apparatus comprising:
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input means for entering an image; transformation means for transforming data of the input image, which is represented by a function on a two-dimensional plane entered by said input means, to a complex function; detecting means for detecting a pole of the complex function transformed by said transformation means; dividing means for dividing a domain of the complex function into a plurality of subdomains based upon a position of each pole detected by said detecting means; and arithmetic means for calculating corresponding to each of the plurality of subdomains, a polynomial expansion of finite degree approximating the complex function about the pole in the respective subdomain. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. An image processing method comprising:
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an input step of entering an image; a transformation step of transforming data of the input image, which is represented by a function on a two-dimensional plane entered at said input step, to a complex function; a detecting step of detecting a pole of the complex function transformed at said transformation step; a dividing step of dividing a domain of the complex function into a plurality of subdomains based upon a position of each pole detected at said detecting step; and an arithmetic step of calculating, corresponding to each of the plurality of subdomains, a polynomial expansion of finite degree approximating the complex function about the pole in the respective subdomain. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17, 18)
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Specification