• Title/Summary/Keyword: Map of Gradient

Search Result 193, Processing Time 0.022 seconds

GRADIENT ESTIMATE OF HEAT EQUATION FOR HARMONIC MAP ON NONCOMPACT MANIFOLDS

  • Kim, Hyun-Jung
    • Journal of applied mathematics & informatics
    • /
    • v.28 no.5_6
    • /
    • pp.1461-1466
    • /
    • 2010
  • aSuppose that (M, g) is a complete Riemannian manifold with Ricci curvature bounded below by -K < 0 and (N, $\bar{b}$) is a complete Riemannian manifold with sectional curvature bounded above by a constant $\mu$ > 0. Let u : $M{\times}[0,\;{\infty}]{\rightarrow}B_{\tau}(p)$ is a heat equation for harmonic map. We estimate the energy density of u.

Motion Map Generation for Maintaining the Temporal Coherence of Brush Strokes in the Painterly Animation (회화적 애니메이션에서 브러시 스트로크의 시간적 일관성을 유지하기 위한 모션 맵 생성)

  • Park Youngs-Up;Yoon Kyung-Hyun
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.33 no.8
    • /
    • pp.536-546
    • /
    • 2006
  • Painterly animation is a method that expresses painterly images with a hand-painted appearance from a video, and the most crucial element for it is the temporal coherence of brush strokes between frames. A motion map is proposed in this paper as a solution to the issue of maintaining the temporal coherence in the brush strokes between the frames. A motion map is the region that frame-to-frame motions have occurred. Namely, this map refers to the region frame-to-frame edges move by the motion information with the motion occurred edges as a starting point. In this paper, we employ the optical flow method and block-based method to estimate the motion information. The method that yielded the biggest PSNR using the motion information (the directions and magnitudes) acquired by various methods of motion estimation has been chosen as the final motion information to form a motion map. The created motion map determine the part of the frame that should be re-painted. In order to express painterly images with a hand- painted appearance and maintain the temporal coherence of brush strokes, the motion information was applied to only the strong edges that determine the directions of the brush strokes. Also, this paper seek to reduce the flickering phenomenon between the frames by using the multiple exposure method and the difference map created by the difference between images of the source and the canvas. Maintenance of the coherence in the direction of the brush strokes was also attempted by a local gradient interpolation to maintain the structural coherence.

Application Study on the View Points Analysis for National Roads Route using Digital Elevation Data

  • Yeon, Sang-Ho;Hong, Ill-Hwa
    • Proceedings of the KSRS Conference
    • /
    • 2002.10a
    • /
    • pp.292-296
    • /
    • 2002
  • This study has been accomplished as a experimental study for field application of 3D Perspective Image Map creation using Digital Topographical Map and based on the Ortho-Projection Image which is generated from Satellite Overlay Images and the precise Relative Coordinates of longitude, latitude and altitude which is corrected by GCP(Ground Control Point). AS to Contour Lines Map which is created by Coordinate conversion of 1:5,000 Topographical Map, we firstly made Satellite Image Map to substitute for Digital Topographical Map through overlapping the original images on top of each Ortho-Projection Image created and checking the accuracy. In addition to 3D Image Map creation for 3D Terrain analysis of a target district, Slope Gradient Analysis, Aspect Analysis and Terrain Elevation Model generation, multidirectional 3D Image generation by DEM can be carried out through this study. This study is to develop a mapping technology with which we can generate 3D Satellite Images of a target district through the composition of Digital Maps and Facility Blueprint and arbitrarily create 3D Perspective Images of the target district from any view point.

  • PDF

Bokeh Effect Algorithm using Defocus Map in Single Image (단일 영상에서 디포커스 맵을 활용한 보케 효과 알고리즘)

  • Lee, Yong-Hwan;Kim, Heung Jun
    • Journal of the Semiconductor & Display Technology
    • /
    • v.21 no.3
    • /
    • pp.87-91
    • /
    • 2022
  • Bokeh effect is a stylistic technique that can produce blurring the background of photos. This paper implements to produce a bokeh effect with a single image by post processing. Generating depth map is a key process of bokeh effect, and depth map is an image that contains information relating to the distance of the surfaces of scene objects from a viewpoint. First, this work presents algorithms to determine the depth map from a single input image. Then, we obtain a sparse defocus map with gradient ratio from input image and blurred image. Defocus map is obtained by propagating threshold values from edges using matting Laplacian. Finally, we obtain the blurred image on foreground and background segmentation with bokeh effect achieved. With the experimental results, an efficient image processing method with bokeh effect applied using a single image is presented.

Analysis of Infiltration Area using Prediction Model of Infiltration Risk based on Geospatial Information (지형공간정보 기반의 침투위험도 예측 모델을 이용한 최적침투지역 분석)

  • Shin, Nae-Ho;Oh, Myoung-Ho;Choe, Ho-Rim;Chung, Dong-Yoon;Lee, Yong-Woong
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.12 no.2
    • /
    • pp.199-205
    • /
    • 2009
  • A simple and effective analysis method is presented for predicting the best infiltration area. Based on geospatial information, numerical estimation barometer for degree of infiltration risk has been derived. The dominant geospatial features influencing infiltration risk have been found to be area altitude, degree of surface gradient, relative direction of surface gradient to the surveillance line, degree of surface gradient repetition, regional forest information. Each feature has been numerically expressed corresponding to the degree of infiltration risk of that area. Four different detection probability maps of infiltration risk for the surveillance area are drawn on the actual map with respect to the numerically expressed five dominant factors of infiltration risks. By combining the four detection probability maps, the complete picture of thr best infiltration area has been drawn. By using the map and the analytic method the effectiveness of surveillance operation can be improved.

A Study on the Contour-Preserving Image Filtering for Noise Removal (잡음 제거를 위한 윤곽선 보존 기법에 관한 연구)

  • Yoo, Choong-Woong;Ryu, Dae-Hyun;Bae, Kang-Yeul
    • Journal of the Korean Institute of Telematics and Electronics T
    • /
    • v.36T no.4
    • /
    • pp.24-29
    • /
    • 1999
  • In this paper, a simple contour-preserving filtering algorithm is proposed. The goal of the contour-preserving filtering method is to remove noise ad granularity as the preprocessing for the image segmentation procedure. Our method finds edge map and separates the image into the edge region and the non-edge region using this edge map. For the non-edge region, typical smoothing filters could be used to remove the noise and the small areas during the segmentation procedure. The result of simulation shows that our method is slightly better than the typical methods such as the median filtering and gradient inverse weighted filtering in the point of view of analysis of variance (ANOVA).

  • PDF

Pseudo-Distance Map Based Watersheds for Robust Region Segmentation

  • Jeon, Byoung-Ki;Jang, Jeong-Hun;Hong, Ki-Sang
    • Proceedings of the IEEK Conference
    • /
    • 2001.09a
    • /
    • pp.283-286
    • /
    • 2001
  • In this paper, we present a robust region segmentation method based on the watershed transformation of a pseudo-distance map (PDM). A usual approach for the segmentation of a gray-scale image with the watershed algorithm is to apply it to a gradient magnitude image or the Euclidean distance map (EDM) of an edge image. However, it is well known that this approach suffers from the oversegmentation of the given image due to noisy gradients or spurious edges caused by a thresholding operation. In this paper we show thor applying the watershed algorithm to the EDM, which is a regularized version of the EDM and is directly computed form the edgestrength function (ESF) of the input image, significantly reduces the oversegmentation, and the final segmentation results obtained by a simple region-merging process are more reliable and less noisy than those of the gradient-or EDM-based methods. We also propose a simple and efficient region-merging criterion considering both boundary strengths and inner intensities of regions to be merged. The robustness of our method is proven by testing it with a variety of synthetic and real images.

  • PDF

Analysis of Ionospheric Spatial Gradient for Satellite Navigation Systems (위성항법시스템 적용을 위한 전리층 지연값 기울기 연구)

  • Kim, Jeong-Rae;Yang, Tae-Hyoung;Lee, Eun-Sung;Jun, Hyang-Sig
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.12 no.9
    • /
    • pp.898-904
    • /
    • 2006
  • Ionospheric storms, caused by the interaction between Solar and geomagnetic activities, may degrade the differential GNSS(Global Navigation Satellite Systems) performance significantly, and the importance of the ionospheric storm research is growing for the GBAS(Ground-Based Augmentation System) and SBAS(Satellite-Based Augmentation System) development. In order to support Korean GNSS augmentation system development, a software tool for analyzing the regional ionosphere is being developed and its preliminary results are discussed. After brief description of the ionosphere and ionospheric storm, the research topics on the GBAS applications are discussed. The need for ionospheric spatial gradient analysis is described and some results on the ionospheric spatial gradient during recent storm periods are discussed.

A study on the speckle noise removal and edge detection using gradient and symmetry (기울기와 유사성을 이용한 스페클 잡음 제거 및 경계선 검출에 관한 연구)

  • 홍승범;백종환
    • Journal of the Korean Institute of Telematics and Electronics S
    • /
    • v.34S no.11
    • /
    • pp.138-147
    • /
    • 1997
  • The ultrasonic images are corrupted by the granular pattern noise - a speckle noise. The speckle exist in the type of coherent imaging systems, and the speckle is the signal independent and multiplicative noise. In this paepr, we derive two filters using the gradient and symmetry. One is a noise suppression filter which removes noise while preserves the edges. It is named the ASRF-GS (Adaptive Speckle Removal Filer - Gradient and Symmetry). And the other is a edge detection filter which obtains the thin edge map, called the EDUGS(Edge Detection Using Gradient and Symmetry). The performance of the proposed noise suppression filter is evaluated by the IMPV(SNR improvement) and the Speckle Index(SI), and the perforamnce of the edge detection is evaluated by the edge detection error rate. According to the evaluated method, The SI reduced about 0.035, The IMPV improved about 1.265(dB), and the edge detection error rate is about 17.5%.

  • PDF

High-Performance and Low-Complexity Image Pre-Processing Method Based on Gradient-Vector Characteristics and Hardware-Block Sharing

  • Kim, Woo Suk;Lee, Juseong;An, Ho-Myoung;Kim, Jooyeon
    • Transactions on Electrical and Electronic Materials
    • /
    • v.18 no.6
    • /
    • pp.320-322
    • /
    • 2017
  • In this paper, a high-performance, low-area gradient-magnitude calculator architecture is proposed, based on approximate image processing. To reduce the computational complexity of the gradient-magnitude calculation, vector properties, the symmetry axis, and common terms were applied in a hardware-resource-shared architec-ture. The proposed gradient-magnitude calculator was implemented using an Altera Cyclone IV FPGA (EP4CE115F29) and the Quartus II v.16 device software. It satisfied the output-data quality while reducing the logic elements by 23% and the embedded multipliers by 76%, compared with previous work.