Motion Estimation by Fermat Number Transform

Fermat Number 변환에 기반한 모션벡터 예측

  • 김남호 (LG산전 중앙연구소) ;
  • 성주승 (고려대학교 통신신호처리연구실) ;
  • 송문호 (서울대학교 기계항공공학부)
  • Published : 2002.07.01

Abstract

In this paper, we present a method to find motion vectors in frequency domain for video data compression. The proposed algorithm is based on the Format Number Transform (FNT), and it declares the most correlated-block as the best matching block, as opposed to declaring the block with least sum of differences between blocks. We show that the proposed method is equivalent to declaring the block with the minimum L2-norm as the best matching block. Unlike other previous fast algorithms, the time requirement for the proposed algorithm does not defend on the image type for finding the optimum solution.

본 논문에서는 비디오 데이터 압축에 있어서 모션 벡터를 주파수 도메인에서 찾는 방법에 대하여 제안한다. 제안하는 알고리즘은 Fermet Number변환에 의해 주파수 도메인에서 현재의 프레임의 매크로 블록과 참조 프레임의 매크로 블록 사이의 상관관계(correlation)가 최대인 것을 찾아 이것을 모션벡터로 인식하는 방식이다. 제안하는 방법은 최대 상관값을 찾는데, 이 방법은 기존 최소 L2-norm을 찾는 방법과 동등하다는 것을 수학적으로 증명하였다. 제안하는 방법의 특징은 데이터의 특성에 관계없이 모든 영상에 대해서 동일한 속도로 최적의 해를 구할 수 있다는 것을 입증하였다.

Keywords

References

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