Apparatus and method for transforming between discrete...

Image analysis – Image compression or coding

Reexamination Certificate

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C382S250000, C382S248000, C375S240190, C375S240200

Reexamination Certificate

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08073267

ABSTRACT:
Provided is an apparatus and method for transforming between a DCT coefficient and a DWT coefficient. The transforming apparatus includes a first fundamental matrix calculating unit, a second fundamental matrix calculating unit, and a DWT coefficient calculating unit. The first fundamental matrix calculating unit calculates a first fundamental matrix by multiplying an N×N forward DWT transform matrix and an N×N matrix that has diagonal components corresponding to a transpose matrix of an 8×8 DCT transform matrix and the remaining components corresponding to an 8×8 matrix with all elements being zero. The second fundamental matrix calculating unit calculates a second fundamental matrix by multiplying an M×M matrix, which has diagonal components corresponding to an 8×8 DCT transform matrix and the remaining components corresponding to an 8×8 matrix with all elements being zero, and a transpose matrix of an M×M forward DWT transform matrix. The DWT coefficient calculating unit calculates a 2-dimensional 1-level DWT coefficient by multiplying the first fundamental matrix, a 2-dimensional 8×8 DCT transform coefficient, and the second fundamental matrix.

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