• 로봇학회논문지
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• 제18권3호
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• pp.330-336
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• 2023

In this paper, a novel line-based simultaneous localization and mapping (SLAM) using a loss function of vanishing point measurements is proposed. In general, the Huber norm is used as a loss function for point and line features in feature-based SLAM. The proposed loss function of vanishing point measurements is based on the unit sphere model. Because the point and line feature measurements define the reprojection error in the image plane as a residual, linear loss functions such as the Huber norm is used. However, the typical loss functions are not suitable for vanishing point measurements with unbounded problems. To tackle this problem, we propose a loss function for vanishing point measurements. The proposed loss function is based on unit sphere model. Finally, we prove the validity of the loss function for vanishing point through experiments on a public dataset.

• 로봇학회논문지
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• 제10권1호
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• pp.9-15
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• 2015

We present a robust power transmission lines detection method based on vanishing point estimation. Vanishing point estimation can be helpful to detect power transmission lines because parallel lines converge on the vanishing point in a projected 2D image. However, it is not easy to estimate the vanishing point correctly in an image with complex background. Thus, we first propose a vanishing point estimation method on power transmission lines by using a probabilistic voting procedure based on intersection points of line segments. In images obtained by our system, power transmission lines are located in a fan-shaped area centered on this estimated vanishing point, and therefore we select the line segments that converge to the estimated vanishing point as candidate line segments for power transmission lines only in this fan-shaped area. Finally, we detect the power transmission lines from these candidate line segments. Experimental results show that the proposed method is robust to noise and efficient to detect power transmission lines.

• 한국콘텐츠학회논문지
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• 제13권8호
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• pp.1-10
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• 2013

본 논문에서는 선분분류를 이용하여 실내영상의 소실점을 검출하는 방법을 제안한다. 실내영상을 효율적으로 검출하기 위하여 2 단계로 소실점을 추출한다. 1 단계에서는 이미지가 1 점 투시인지 2 점 투시인지 판별한다. 만일 이미지가 2 점 투시이면, 선분분류를 위하여 검출된 소실점을 지나는 수평선을 구한다. 2 단계에서는 선분분류를 이용하여 2 개의 소실점을 정확히 검출한다. 또 본 논문에서는 인공영상과 이미지 DB를 이용하여 제안한 방법을 평가하였다. 노이즈를 첨가한 인공 영상에 대해서는 노이즈가 60%를 차지할 때까지 검출한 소실점과 실제 소실점과의 차이가 16 픽셀 이하였다. A. Quattoni 와 A. Torralba가 제안한 이미지 DB를 이용한 평가에서는 87% 이상의 이미지에 대하여 소실점을 검출하였다.

• 정보과학회 논문지
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• 제42권5호
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• pp.642-651
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• 2015

소실점(vanishing point)이란 카메라 렌즈를 통해 3차원 공간을 2차원 영상으로 투영하는 과정에서 평행한 직선들이 수렴하는 점을 의미한다. 소실점 검출은 영상 내의 정보를 이용하여 소실점의 위치를 파악하는 것을 의미하며, 영상 내 지점들의 상대적인 거리를 파악하거나 장면 전체의 3차원 구조를 파악하는데 활용된다. 일반적으로 영상 내 평행한 직선들은 인공 구조물 내에 존재하는 경우가 많으므로 직선 검출 기반 소실점 검출 기법들은 인공 구조물 내의 직선들을 찾아 이들이 수렴하는 점을 소실점으로서 검출하는 것을 목표로 한다. 이 때, 영상 내에서 직선을 검출하기 위하여 먼저 에지 검출(edge detection)을 통해 에지 픽셀을 검출하고 그 결과를 허프 변환(Hough transform)하여 직선들을 찾아낸다. 그러나 각종 텍스쳐 및 노이즈 등 여러 원인들로 인해 위 과정에서 검출된 직선들이 모두 소실점을 지나지는 않는다. 따라서 검출된 직선들로부터 소실점을 정확히 검출하기 위해서는 각 직선에 대하여 소실점을 지날 가능성에 따라 다른 가중치를 부여하는 것이 필요한데 기존의 연구들은 가중치를 동일하게 부여하거나 단순한 수준의 가중치 계산을 적용해 왔다. 본 논문에서는 소실점을 지나는 직선들은 대부분 인공 구조물 내의 직선들임에 착안하여 직선에 가중치를 부여하는 새로운 방법을 제안하고 이를 이용한 소실점 검출 결과를 몇 가지 기존 방법들과 비교하였다. 그 결과, 기존 방법들에 비하여 소실점 추정 오류가 약 65% 감소하였다.

• 한국멀티미디어학회논문지
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• 제15권12호
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• pp.1430-1441
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• 2012

In this paper, we present an algorithm that quickly and effectively estimates orthogonal vanishing points in equirectangular images of urban environment. Our algorithm is based on the RANSAC (RANdom SAmple Consensus) algorithm and on the characteristics of the line segment in the spherical panorama image of the $360^{\circ}$ longitude and $180^{\circ}$ latitude field of view. These characteristics can be used to reduce the geometric ambiguity in the line segment classification as well as to improve the robustness of vanishing point estimation. The proposed algorithm is validated experimentally on a wide set of images. The results show that our algorithm provides excellent levels of accuracy for the vanishing point estimation as well as line segment classification.

• 로봇학회논문지
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• 제7권2호
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• pp.120-128
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• 2012

The loop closure problem is one of the most challenging issues in the vision-based simultaneous localization and mapping community. It requires the robot to recognize a previously visited place from current camera measurements. While the loop closure often relies on visual bag-of-words based on point features in the previous works, however, in this paper we propose a line-based method to solve the loop closure in the corridor environments. We used both the floor line and the anchored vanishing point as the loop closing feature, and a two-step loop closure algorithm was devised to detect a known place and perform the global pose correction. We propose an anchored vanishing point as a novel loop closure feature, as it includes position information and represents the vanishing points in bi-direction. In our system, the accumulated heading error is reduced using an observation of a previously registered anchored vanishing points firstly, and the observation of known floor lines allows for further pose correction. Experimental results show that our method is very efficient in a structured indoor environment as a suitable loop closure solution.

• 한국자동차공학회논문집
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• 제23권5호
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• pp.463-470
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• 2015

When a camera installed on a vehicle is used, estimation of the camera pose including tilt, roll, and pan angle with respect to the world coordinate system is important to associate camera coordinates with world coordinates. Previous approaches using huge calibration patterns have the disadvantage that the calibration patterns are costly to make and install. And, previous approaches exploiting multiple vanishing points detected in a single image are not suitable for automotive applications as a scene where multiple vanishing points can be captured by a front camera is hard to find in our daily environment. This paper proposes a camera pose estimation method. It collects multiple images of lane markings while changing the horizontal angle with respect to the markings. One vanishing point, the cross point of the left and right lane marking, is detected in each image, and vanishing line is estimated based on the detected vanishing points. Finally, camera pose is estimated from the vanishing line. The proposed method is based on the fact that planar motion does not change the vanishing line of the plane and the normal vector of the plane can be estimated by the vanishing line. Experiments with large and small tilt and roll angle show that the proposed method outputs accurate estimation results respectively. It is verified by checking the lane markings are up right in the bird's eye view image when the pan angle is compensated.

• 한국컴퓨터정보학회논문지
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• 제18권9호
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• pp.53-62
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• 2013

본 논문에서는 입력된 자연영상으로부터 도로 영역을 검출하기 위한 소실점 자동 예측 방법을 제안한다. 제안하는 방법에서는 도로 환경에서 안정적으로 소실점을 검출하기 위해 영상의 주방향성을 분석하여 영상 특징성분들이 집중되는 곳을 소실점으로 예측한다. 이를 위해 첫번째 단계에서는, 영상을 일정크기의 서브블록으로 분할하고 분할된 서브블록 내에서 임의의 에지 샘플을 선택하고 RANSAC을 적용하여 직선 모델을 예측함으로서 각 서브블록의 주방향성을 분석한다. 모든 블록에 대하여 주방향성을 검출한 후, 두 번째 단계에서 임의의 직선 샘플을 선택하고 RANSAC을 적용하여 교점 모델을 예측함으로서 각 직선들로 인한 교점 모델의 비용값을 측정하고 가장 높은 비용값의 교점 모델에 의한 평균점으로 소실점을 예측한다. 마지막으로 성능 검증을 위해 다양한 상황에 따른 정량적, 정성적 분석을 통해 제안하는 소실점 검출 알고리즘의 타당성과 효율성을 입증한다.

• 미술이론과 현장
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• 제7호
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• pp.165-188
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• 2009

In the development of linear perspective, Brook Taylor's theory has achieved a special position. With his method described in Linear Perspective(1715) and New Principles of Linear Perspective(1719), the subject of linear perspective became a generalized and abstract theory rather than a practical method for painters. He is known to be the first who used the term 'vanishing point'. Although a similar concept has been used form the early stage of Renaissance linear perspective, he developed a new method of British perspective technique of measure points based on the concept of 'vanishing points'. In the 15th and 16th century linear perspective, pictorial space is considered as independent space detached from the outer world. Albertian method of linear perspective is to construct a pavement on the picture in accordance with the centric point where the centric ray of the visual pyramid strikes the picture plane. Comparison to this traditional method, Taylor established the concent of a vanishing point (and a vanishing line), namely, the point (and the line) where a line (and a plane) through the eye point parallel to the considered line (and the plane) meets the picture plane. In the traditional situation like in Albertian method, the picture plane was assumed to be vertical and the center of the picture usually corresponded with the vanishing point. On the other hand, Taylor emphasized the role of vanishing points, and as a result, his method entered the domain of projective geometry rather than Euclidean geometry. For Taylor's theory was highly abstract and difficult to apply for the practitioners, there appeared many perspective treatises based on his theory in England since 1740s. Joshua Kirby's Dr. Brook Taylor's Method of Perspective Made Easy, Both in Theory and Practice(1754) was one of the most popular treatises among these posterior writings. As a well-known painter of the 18th century English society and perspective professor of the St. Martin's Lane Academy, Kirby tried to bridge the gap between the practice of the artists and the mathematical theory of Taylor. Trying to ease the common readers into Taylor's method, Kirby somehow abbreviated and even omitted several crucial parts of Taylor's ideas, especially concerning to the inverse problems of perspective projection. Taylor's theory and Kirby's handbook reveal us that the development of linear perspective in European society entered a transitional phase in the 18th century. In the European tradition, linear perspective means a representational system to indicated the three-dimensional nature of space and the image of objects on the two-dimensional surface, using the central projection method. However, Taylor and following scholars converted linear perspective as a complete mathematical and abstract theory. Such a development was also due to concern and interest of contemporary artists toward new visions of infinite space and kaleidoscopic phenomena of visual perception.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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• pp.371-374
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• 1997

Recently, the development of computer achieves a system which is similar to the mechanics of human visual system. The 3-dimensional measurement using monocular vision system must be achieved a camera calibration. So far, the camera calibration technique required reference target in a scene. But, these methods are inefficient because they have many calculation procedures and difficulties in analysis. Therefore, this paper proposes a native method that without reference target in a scene. We use the grid type frame with different line widths. This method uses vanishing point concept that possess a rotation parameter of the camera and perspective ration that perspect each line widths into a image. We confirmed accuracy of calibration parameter estimation through experiment on the algorithm with a grid paper with different line widths.