본 논문에서는 디지털 이미지 매팅에 대하여 근래 제안된 클로즈폼 솔류션의 개선된 방법을 제시한다. 제안된 방법은 각 군집된 영역내에서의 전체 유사정도로 정규화하는 정규화된 그래프 분할기법을 이용한다. 더불어, 최적화된 매트 결과를 얻기위해 목적함수에 대한 이차계획법을 적용하여 전역해를 보장하도록 한다. 오직 전경과 배경사이의 상이성만으로 고려한 기존의 클로즈폼 솔류션 매팅과는 달리, 본 방법은 전경과 배경의 상이성뿐만아니라 각각의 영역내 동질성을 동시에 고려한다. 인위적인 데이터 이미지와 실사이미지에 대한 수치 실험에서도 제시한 방법의 유용성을 보여준다.
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