코너 점(Corner point)은 영상 신호 처리의 패턴 인식에 있어 아주 중요한 정보이다 그래서 지금도 여러 가지 코너 점을 추출하는 연구가 진행되고 있다. 코너 점은 에지 영상에서 8 방향 체인 코드(Chain code)를 적용하여 찾는다. 그런데 에지 선분 기울기가 45도의 정수 배가 되지 않을 때, 8 방향 알고리듬을 그대로 적용하면 문제가 발생된다. 따라서 본 논문에서는 이러한 단점을 보완하면서 최적의 코너 점을 찾기 위해서 수리 형태학과 시각적 개념을 접목하여 코너 점을 처리하는 새로운 알고리듬을 제안한다. 제안한 방법으로 컴퓨터 시뮬레이션 하여 좋은 결과를 보이고 있다. 그래서 제안된 논문의 알고리듬은 공장 자동화 및 선박 레이더 영상의 해안의 영역 파악에도 적용되리라 생각된다.

MRA(Multi-resolution analysis) algorithm by Wavelet and morphology with 3×3 SQ(square) SE(structure element) is efficient to remove ship's radar clutter progressively and enhances detecting performance. Smoothing efficiency of RMM (Recursive mathematical Morphology) is better than that of Morphology. So, to get a better result than that of old algorithms, this paper proposes a new MRA algorithm which uses Wavelet and Recursive mathematical Morphology with 3×3 RHR(rhombus) SE. Simulation result of the proposed algorithm shows that PSNR is 0.65~1.50db better than that of old method.

Though median filter is used for removing noise and smoothing image. But, the result of it has distortion around edge. And then, this paper proposes new noise removing algorithm by recursive morphological processing. Basic operation is same each other, but there is some different processing method between recursive morphology and general morphology theory. This recursive morphological filter can be viewed as the weighted order static filter, and then it has a weighted SE(structuring element). Especially using this algorithm to remove the 10% gaussian noise, this paper confirmed that PSNR is improved about 0.642~1.5757 db reserving edge well better than the results of the traditional median filter.

Mathematical morphology skeleton image processing makes many partial skeleton image planes from an original binary image. And the original binary image can be reconstructed without any distortion by summing the first partial skeleton image plane and each dilated partial skeleton image planes using the same structuring element. Especially compression effects of Elias coding to the morphological globally minimal skeleton(GMS) image, is better than that of PCX and Huffman coding. And then this paper proposes mathematical morphological GMS image processing which can be applied to a binary image transmitting for facimile and big size(bigger than 64×64 size) bitmap fonts storing in a memory.