Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops最新文献_第10页

The World in an Eye 《一只眼睛里的世界

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 2004-06-27 DOI: 10.1109/CVPR.2004.248

K. Nishino, S. Nayar

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引用次数: 35

2D-Shape Analysis Using Conformal Mapping 利用保角映射进行二维形状分析

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 2004-01-01 DOI: 10.1109/CVPR.2004.2

Eitan Sharon, D. Mumford

{"title":"2D-Shape Analysis Using Conformal Mapping","authors":"Eitan Sharon, D. Mumford","doi":"10.1109/CVPR.2004.2","DOIUrl":"https://doi.org/10.1109/CVPR.2004.2","url":null,"abstract":". The study of 2D shapes and their similarities is a central problem in the ﬁeld of vision. It arises in particular from the task of classifying and recognizing objects from their observed silhouette. Deﬁning natural distances between 2D shapes creates a metric space of shapes, whose mathematical structure is inherently relevant to the classiﬁcation task. One intriguing metric space comes from using conformal mappings of 2D shapes into each other, via the theory of Teichm¨uller spaces. In this space every simple closed curve in the plane (a “shape”) is represented by a ‘ﬁngerprint’ which is a diffeomorphism of the unit circle to itself (a differentiable and invertible, periodic function). More precisely, every shape deﬁnes to a unique equivalence class of such diffeomorphisms up to right multiplication by a M¨obius map. The ﬁngerprint does not change if the shape is varied by translations and scaling and any such equivalence class comes from some shape. This coset space, equipped with the inﬁnitesimal Weil-Petersson (WP) Riemannian norm is a metric space. In this space, the shortest path between each two shapes is unique, and is given by a geodesic connecting them. Their distance from each other is given by integrating the WP-norm along that geodesic. In this paper we concentrate on solving the “welding\" problem of “sewing\" together conformally the interior and exterior of the unit circle, glued on the unit circle by a given diffeomorphism, to obtain the unique 2D shape associated with this diffeomorphism. This will allow us to go back and forth between 2D shapes and their representing diffeomorphisms in this “space of shapes”. We then present an efﬁcient method for computing the unique shortest path, the geodesic of shape morphing between each two end-point shapes. The group of diffeomorphisms of S 1 acts as a group of isometries on the space of shapes and we show how this can be used to deﬁne shape transformations, like for instance ‘adding a protruding limb’ to any shape.","PeriodicalId":89346,"journal":{"name":"Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops","volume":"7 1","pages":"350-357"},"PeriodicalIF":0.0,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84666763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 183

L-8Minimization in Geometric Reconstruction Problems 几何重构问题中的L-8Minimization

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 2004-01-01 DOI: 10.1109/CVPR.2004.140

Richard I. Hartley, F. Schaffalitzky

引用次数: 3

Bagging Is a Small-Data-Set Phenomenon Bagging是一种小数据集现象

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 2001-12-08 DOI: 10.1109/CVPR.2001.991030

N. Chawla, Thomas E. Moore, K. Bowyer, L. Hall, C. Springer, W. Kegelmeyer

引用次数: 14

Robust Visual Recognition of Color Images Rozenn Dahyot, Pierre 彩色图像的鲁棒视觉识别

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 2000-01-01 DOI: 10.1109/CVPR.2000.855886

P. Charbonnier, F. Heitz

引用次数: 1

Comparison of Edge Detectors Using an Object Recognition Task 使用目标识别任务的边缘检测器的比较

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 1999-06-23 DOI: 10.1109/CVPR.1999.786964

M. Shin, Dmitry Goldgof, K. Bowyer

引用次数: 45

Evaluation of Texture Segmentation Algorithms 纹理分割算法的评价

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 1999-06-23 DOI: 10.1109/CVPR.1999.786954

K. Chang, K. Bowyer, Munish Sivagurunath

引用次数: 104

An Objective Comparison Methodology of Edge Detection Algorithms Using a Structure from Motion Task 基于运动任务结构的边缘检测算法的客观比较方法

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 1998-06-23 DOI: 10.1109/CVPR.1998.698608

M. Shin, Dmitry Goldgof, K. Bowyer

引用次数: 63

Recognizing object function through reasoning about 3-D shape and dynamic physical properties 通过对三维形状和动态物理特性的推理来识别目标函数

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 1994-06-21 DOI: 10.1109/CVPR.1994.323880

L. Stark

引用次数: 5

Realistic range rendering 逼真距离渲染

Conference on Computer Vision and Pattern Recognition Workshops. IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Workshops Pub Date : 1994-06-21 DOI: 10.1109/CVPR.1994.323911

P. Flynn

引用次数: 0