• 한국방송∙미디어공학회:학술대회논문집
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• 한국방송공학회 1996년도 Proceedings International Workshop on New Video Media Technology
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• pp.61-66
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• 1996

In this paper, an efficient contour coding algorithm incorporating polygonal approximation and discrete sine transform is introduced. Contour information is inevitable in content based coding, and polygonal approximation method is widely used to compress the contour information. However polygonal approximation method is not suitable when fine contour is needed. We show that the error signal of polygonal approximation can be efficiently represented using DST, that is, the contour information can be represented accurately with polygons and DST coefficients. With this contour coding scheme, the required bits to represent a contour can be reduced by about 40-50% with virtually no degradation compared to the existing chain coding method.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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• pp.679-682
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• 1988

From the viewpoint of general recognition system, B-spline is introduced for the approximation and recognition of human profile contours. Profile contour is approximated to the cublic B-spline curve by least square fitting so that B-Spline nodes nearly correspond with the curvature extrema of the contour. This method is designed for the spline to be good features in recognition, and also showed good approximation compared with the variants of B-spline appraximation.

• 한국통신학회논문지
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• 제22권6호
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• pp.1178-1184
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• 1997

Encoding of segment contours is a critical part of a region-based coding system especially at low bit rates where the contour information occupies a majority of the bit rate. When approximating contours with polygons, a fixed upper bound on the distortion is set for the approximation process. Instead of using this fixed bound, adaptive approximation bound for a lossy coding of contourts is proposed in this paper. A function representing the relative importance of the contour segmentis defined to take into account the spatial content of the image. By using this function, the contour can be approximated adaptively. This allows a more general approach than the methods with the fixed distortion measure. The effectiveness of the adaptive contour coding approach is verified through experiments.

• Journal of the Korean Data and Information Science Society
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• 제17권3호
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• pp.753-762
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• 2006

The Snakes and GVF used to find object edges dynamically have assigned their initial contour arbitrarily. If the initial contours are located in the neighboring regions of object edges, Snakes and GVF can be close to the true boundary. If not, these will likely to converge to the wrong result. Therefore, this paper proposes a new initialization of Snakes and GVF using convex hull approximation, which initializes the vertex of Snakes and GVF as a convex polygonal contour near object edges. In simulation result, we show that the proposed algorithm has a faster convergence to object edges than the existing methods. Our algorithm also has the advantage of extracting whole edges in real images.

• 방송공학회논문지
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• 제10권4호통권29호
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• pp.632-642
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• 2005

본 논문에서는 다각형 기반 윤곽선 근사화를 위한 새로운 정점 선택 방법을 제안한다. 제안 방법은 전체 윤곽선을 부분 윤곽선으로 분할하고, 분할된 각 부분 윤곽선을 가변적 정확도에 따라 적응적으로 근사화한다. 근사화 정확도는 각 부분 윤곽선의 상대적 중요도에 의해 결정된다. 이때 근사화 오차 영역에서 발생하는 밝기 왜곡을 고려하여 각 부분 윤곽선의 상대적 중요도를 결정함으로써, 같은 윤곽선 데이터 량으로 보다 높은 재생영상의 화질 향상을 이룰 수 있다. 이러한 개념을 바탕으로 영역간 대조와 최대허용오차($d_{max}$)와의 관계식을 유도하고, 이 식을 이용한 적응적 정점 선택 방법을 제안한다. 실험 결과, 제안된 방법이 영상 부호화의 측면에서 기존 기법보다 우수한 성능을 나타내었다.

• 대한전자공학회논문지SP
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• 제41권3호
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• pp.121-127
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• 2004

This paper presents a new vertex selection scheme for shape approximation. In the proposed method, final vertex points are determined by "two-step procedure". In the first step, initial vertices are simply selected on the contour, which constitute a subset of the original contour, using conventional methods such as an iterated refinement method (IRM) or a progressive vertex selection (PVS) method In the second step, a vertex adjustment Process is incorporated to generate final vertices which are no more confined to the contour and optimal in the view of the given distortion measure. For the optimality of the final vertices, the dynamic programming (DP)-based solution for the adjustment of vertices is proposed. There are two main contributions of this work First, we show that DP can be successfully applied to vertex adjustment. Second, by using DP, the global optimality in the vertex selection can be achieved without iterative processes. Experimental results are presented to show the superiority of our method over the traditional methods.

• 대한전자공학회논문지SP
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• 제40권6호
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• pp.114-123
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• 2003

본 논문에서는 다각형 기반 윤곽선 부호화를 위한 새로운 정점 선택 기법을 제안한다. 객체의 모양을 효율적으로 표현하기 위해서 정점 선택 과정에서 기존의 최대 거리 척도뿐만 아니라 곡률 정보를 이용한다. 제안된 기법은 두 단계 과정으로 구성되어 있다. 첫 번째 단계에서는 곡률이 큰 윤곽선 화소들을 CSS (curvature scale space)를 이용하여 키 정점(key vortices)으로 선택한다. 이 점들은 객체의 윤곽선을 여러 개의 부분 윤곽선(contour segment)들로 나누며, 각 부분 윤곽선은 양 끝점이 인접한 두 개의 키 정점인 하나의 열린 윤곽선으로 독립적으로 처리된다. 두 번째 단계에서는 각각의 부분 윤곽선에서 주어진 허용 오차(D/sub max//sup */)를 만족하면서 최소 개수의 정점을 선택하기 위해 순차적 정점 선택 기법을 이용하여 정점을 선택한다. 그리고 선택된 정점들은 오차 영역 면에서 최적의 위치를 찾기 위해 동적 프로그래밍(DP : dynamic programming) 기법을 사용하여 조정된다. 제안된 기법과 기존의 기법들의 근사 성능을 비교하기 위해 실험 결과를 제시한다.

• International Journal of CAD/CAM
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• 제8권1호
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• pp.21-28
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• 2009

In the present work, an attempt has been made to construct branching surface from 2-D contours, which are given at different layers and may have branches. If a layer having more than one contour and corresponds to contour at adjacent layers, then it is termed as branching problem and approximated by adding additional points in between the layers. Firstly, the branching problem is converted to single contour case in which there is no branching at any layer and the final branching surface is obtained by skinning. Contours are constructed from the given input points at different layers by energy-based B-Spline approximation. 3-D curves are constructed after adding additional points into the contour points for all the layers having branching problem by using energy-based B-Spline formulation. Final 3-D surface is obtained by skinning 3-D curves and 2-D contours. There are three types of branching problems: (a) One-to-one, (b) One-to-many and (c) Many-to-many. Oneto-one problem has been done by plethora of researchers based on minimizations of twist and curvature and different tiling techniques. One-to-many problem is the one in which at least one plane must have more than one contour and have correspondence with the contour at adjacent layers. Many-to-many problem is stated as m contours at i-th layer and n contours at (i+1)th layer. This problem can be solved by combining one-to-many branching methodology. Branching problem is very important in CAD, medical imaging and geographical information system(GIS).

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제27권1호
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• pp.37-55
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• 2023

In this paper we propose a new algorithm for detecting and counting flowers in a complex background based on digital images. The algorithm mainly includes the following parts: edge contour extraction of flowers, edge contour determination of overlapped flowers and flower counting. We use a contour detection technique in Computer Vision (CV) to extract the edge contours of flowers and propose an improved algorithm with a concave point detection technique to find accurate segmentation for overlapped flowers. In this process, we first use the polygon approximation to smooth edge contours and then adopt the second-order central moments to fit ellipse contours to determine whether edge contours overlap. To obtain accurate segmentation points, we calculate the curvature of each pixel point on the edge contours with an improved Curvature Scale Space (CSS) corner detector. Finally, we successively give three adaptive judgment criteria to detect and count flowers accurately and automatically. Both experimental results and the proposed evaluation indicators reveal that the proposed algorithm is more efficient for flower counting.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2003년도 신호처리소사이어티 추계학술대회 논문집
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• pp.505-508
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• 2003

The current paper proposes a new vertex selection scheme for polygon-based contour ceding. To efficiently characterize the shape of an object, we incorporate the curvature information in addition to the conventional maximum distance criterion in vertex selection process. The proposed method consists of “two-step procedure.” At first, contour pixels of high curvature value are selected as key vertices based on the curvature scale space (CSS), thereby dividing an overall contour into several contour-segments. Each segment is considered as an open contour whose end points are two consecutive key vertices and is processed independently. In the second step, vertices for each contour segment are selected using progressive vertex selection (PVS) method in order to obtain minimum number of vertices under the given maximum distance criterion ( $D_{MAX}$). Experimental results are presented to compare the approximation performances of the proposed and conventional methods.s.