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检索条件"任意字段=Curves and Surfaces in Computer Vision and Graphics 1990"

共 203 条记录，以下是21-30 订阅

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On Spherical Product surfaces in E3

On Spherical Product Surfaces in E3

引用

International Conference on Cyberworlds

作者： Kadri Arslan Betül Bulca Bengü Bayram Günay Ozturk Hassan Ugail Department of Mathematics Uludağ University Bursa Turkey Department of Mathematics Balikesir University Balikesir Turkey Department of Mathematics Kocaeli University Kocaeli Turkey School of Computing Informatics and Media University of Bradford Bradford UK

In the present study we consider spherical product surfaces X = alpha otimes beta of two 2D curves in E 3 . We prove that if a spherical product surface patch X = alpha otimes beta has vanishing Gaussian curvature K (i.e. a flat surface) then either a or b is a straight line. Further, we prove that if alpha(u) is a straight line and b(v) is a 2D curve then the spherical product is a non-minimal and flat surface. We also prove that if beta(v) is a straight line passing through origin and alpha(u) is any 2D curve (which is not a line) then the spherical product is both minimal and flat. We also give some examples of spherical product surface patches with potential applications to visual cyberworlds.

关键词： Mathematics computer vision Shape Deformable models Computational geometry Solid modeling Context modeling Informatics Application software computer graphics

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Mesh Simplification with Global Contour Feature Preservation

Mesh Simplification with Global Contour Feature Preservation

引用

computer Science and Information Engineering, CSIE, WRI World Congress on FLAGGED

作者： Fangmin Dong Rui Zhang Renbin Xiao Bangjun Lei Institute of Intelligent Vision and Image Information China Three Gorges University Yichang Hubei China

In architectural and mechanical engineering, man-made CAD models often have some prominent contours and regular shapes. These features are important to the visual perception. Traditional mesh simplification methods are not very suitable for this kind of models because in the simplified results some important mini structures and shape regularities are always missed. In this paper, we propose a new simplification algorithm that is tailored for man-made CAD models and can maintain the processed modelpsilas most prominent contours and the global shape features. To achieve this purpose, in the simplification process, we avoid as much as possible contracting the vertexes on those contours. At the same time, we simplify the contour curves as a whole. The algorithm proceeds as follows. Firstly, the division contours of all surfaces are detected and all component edges are subsequently classified. Secondly, targeting at minimizing the objective function of contracting vertexes along the contours, all edges are simplified by QEM (quadric error metric). In this way, the missing of important mini structures can be minimized. After this step, the intermediate simplification result is obtained, and one simplified polygon is generated for each surfacepsilas division contour. Thirdly, using those polygons as starting point, an approximation polygon for each surface contour is generated by maximizing the shape similarity between each contour and the corresponding polygon and at the same time minimizing the change of the global features of the contours. Finally, the vertexes of all those simplified polygons in the intermediate result are adjusted based on the approximated polygons to form the final simplified model, in which the polygons will guarantee the maintenance of the global shape features of the original contours. The experiments and comparisons demonstrated that, our method not only can avoid the loss of important mini structures of the original model, but also can maintain

关键词： Shape Clustering algorithms Visual perception Costs Image edge detection Solid modeling computer science Mechanical engineering Intelligent structures graphics

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Shape registration and analysis framework for computer vision and graphics

Shape registration and analysis framework for computer visio...

引用

作者： Wang, Sen State University of New York at Stony Brook

学位级别：Ph.D.

As 3D digital photographic and scanning devices produce higher resolution images, acquired geometric data sets grow more complex in terms of the modeled objects’ size, geometry, texture, and topology. To use and analyze such data, developing new algorithms and techniques for shape registration and analysis has become a common and long-term mission in the computer vision and graphics field. In this dissertation, we propose a novel framework for shape matching, registration, and scientific analysis especially for 3D facial data and biomedical data. In particular, we address the challenges of 3D shape registration and analysis with noise, occlusion, resolution variation and non-rigid deformation. Firstly, we analyze a family of quasi-conformal maps including harmonic maps, conformal maps, and least squares conformal maps with regards to 3D shape matching. As a result, we propose a novel and computationally efficient shape matching framework by using least squares conformal maps. The robustness of least squares conformal maps is evaluated and analyzed comprehensively in 3D shape matching with occlusion, noise, and resolution variation. In addition to the above conformal geometry approaches, we also propose a framework of shape registration and analysis using Ricci flow. Previous methods based on conformal geometries, such as harmonic maps and least squares conformal maps, which can only handle 3D shapes with simple topology are subsumed by our Ricci flow based method which can handle surfaces with complex topology. Furthermore, we introduce a method that constrains Ricci flow computation using feature points and feature curves. We also demonstrate the applicability of this intrinsic shape representation through standard shape analysis problems, such as 3D shape matching and registration. As 3D scanning technologies continue to improve, dynamic densely-sampled 3D data is becoming more and more prevalent for analysis and synthesis. To study and analyze such huge data, an

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Shape Registration and Analysis Framework for computer vision and graphics

Shape Registration and Analysis Framework for Computer Visio...

引用

作者： Wang, Sen Stony Brook University

学位级别：master

As 3D digital photographicand scanning devices produce higher resolution images, acquired geometric data sets grow more complex in terms of the modeled objects' size, geometry, texture, and topology. To use and analyze such data, developing new algorithms and techniques for shape registration and analysis has become a common and long-term mission in the computer vision and graphics field. In this dissertation, we propose a novel framework for shape matching, registration, and scientific analysis especially for 3D facial data and biomedical data. In particular, we address the challenges of 3D shape registration and analysis with noise, occlu- sion, resolution variation and non-rigid deformation. Firstly, we analyze a family of quasi-conformal maps including harmonic maps, conformal maps, and least squares conformal maps with regards to 3D shape matching. As a result, we propose a novel and computationally efficient shape matching framework by using least squares conformal maps. The robustness of least squares conformal maps is evaluated and analyzed comprehensively in 3D shape matching with occlusion, noise, and resolution variation. In addition to the above conformal geometry approaches, we also propose a framework of shape reg- istration and analysis using Ricci flow. Previous methods based on conformal ge- ometries, such as harmonic maps and least squares conformal maps, which can only handle 3D shapes with simple topology are subsumed by our Ricci flow based method which can handle surfaces with complex topology. Furthermore, we in- troduce a method that constrains Ricci flow computation using feature points and feature curves. We also demonstrate the applicability of this intrinsic shape rep- resentation through standard shape analysis problems, such as 3D shape matching and registration. As 3D scanning technologies continue to improve, dynamic densely-sampled 3D data is becoming more and more prevalent for analysis and synthesis. To study and analyze such huge

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Maintaining Sharp Features in Surface Construction for Volumetric Objects

Maintaining Sharp Features in Surface Construction for Volum...

引用

15th International Conference in Central Europe on computer graphics, Visualization and computer vision

作者： Loke, Robert Edward Jansen, Frederik W. IIT CNR Pisa Italy Delft Univ Technol EWI Delft Netherlands

ISBN: (纸本)9788086943022

Discretized Marching Cubes (DMC) is a standard method in computer graphics and visualization for constructing 3D surfaces in data represented on a regular grid. After thresholding, it builds high-resolution surfaces by tiling surface patches halfway between objects and background in the data. This paper shows that if surfaces are built locally, in a high-resolution sub-grid of a cell instead of directly in a cell, sharp surfaces can be generated in order to preserve concave and convex object features. The main advantage is the improved geometric models that are extracted. This makes lower approximation errors and lower triangle counts possible.

关键词： computer graphics: Curve surface solid and object representations computer aided design (modeling of curves and surfaces) Computational geometry Image processing

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Human identification using facial curves with extensions to joint shape-texture analysis

Human identification using facial curves with extensions to ...

引用

2nd International Conference on computer graphics Theory and Applications/2nd International Conference on computer vision Theory and Applications

作者： Samir, Chafik Daoudi, Mohamed Srivastava, Anuj GET Telecom Lille 1 LIFL UMR USTL CNRS 8022 Lille France Florida State Univ Dept Stat Tallahassee FL 32306 USA

ISBN: (纸本)9789728865740

Recognition of human beings using shapes of their full facial surfaces is a difficult problem. Our approach is to approximate a facial surface using a collection of (closed) facial curves, and to compare surfaces by comparing their corresponding curves. The method is further strengthened by the use of texture maps (video images) associated with these faces. Using the commonly used spectral representation of a texture image, i.e. filter images using Gabor filters and compute histograms as image representations, we can compare texture images by comparing their corresponding histograms using the chi-squared distance. A combination of shape and texture metrics provides a method to compare textured, facial surfaces, and we demonstrate its application in face recognition using 240 facial scans of 40 subjects.

关键词： face recognition facial curves facial shapes geodesic of facial shapes

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Extracting Separation surfaces of Path Line Oriented Topology in Periodic 2D Time-Dependent Vector Fields

Extracting Separation Surfaces of Path Line Oriented Topolog...

引用

15th International Conference in Central Europe on computer graphics, Visualization and computer vision

作者： Shi, Kuangyu Theisel, Holger Weinkauf, Tino Hauser, Helwig Hege, Hans-Christian Seidel, Hans-Peter MPI Informat D-66123 Saarbrucken Germany

ISBN: (纸本)9788086943008

This paper presents an approach to extracting the separation surfaces from periodic 2D time-dependent vector fields based on a recently introduced path line oriented topology. This topology is based on critical path lines which repeat the same spatial cycle per time period. Around those path lines there are areas of similar asymptotic flow behavior (basins) which are captured by a 2D Poincare map as a discrete dynamical system. Due to pseudo discontinuities in this map and the discrete integration scheme, separatrices between the basins can't be obtained as integral curves. Instead we choose a point-wise approach to segment the Poincare map and apply image analysis algorithms to extract the 2D separation curves. Starting from those curves we integrate separation surfaces which partition the periodic 2D time-dependent vector field into areas of similar path line behavior. We apply our approach to a number of data sets to demonstrate its utility.

关键词： Flow Visualization Time-dependent vector fields Topological methods

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Image-based 3D reconstruction of generalized box with user sketches

Image-based 3D reconstruction of generalized box with user s...

引用

16th International Conference on computer graphics and vision, GraphiCon 2006

作者： Yakubenko, Anton Konouchine, Anton Vezhnevets, Vladimir Graphics and Media Lab Moscow State University Moscow Russia

3d modeling is one of the key problems in computer graphics. Creating 3d models of real world objects is among tasks of 3d modeling problem. One of the approaches to solving it is using images of the object of interest. Images are the most natural and easy to obtain source of information about real-world 3d object. So lots of research is focused on image-based 3d modeling. We propose an algorithm for reconstructing 3d model of object with a specific shape from a sequence of calibrated images with user interaction. The shape of the object is called "generalized box" and describes objects with hexahedron shape, which edges are polylines or curves and faces are curved surfaces. The class of objects described as generalized box is rather wide. It includes technical equipment, machinery or their parts, architectural buildings, a host of common everyday objects. User outlines some edges on several images with known camera calibration. First 3d edges, corresponding to their outlined projections, are reconstructed. Then missing 3d edges are obtained from known 3d edges. At last curved surface is constructed for each face of the model. After 3d model is constructed, the texture is extracted from input images.

关键词： Machinery

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3D-curves and ruled surfaces for graphics and robotics using conformal geometric computing

3D-curves and ruled surfaces for graphics and robotics using...

引用

IEEE International Conference on Robotics and Automation (ICRA)

作者： L. Falcon-Morales E. Bayro-Corrochano Mathematics Department Tecnológico de Monterrey Guadalajara Jalisco Mexico Computer Science Department CINVESTAV Guadalajara Jalisco Mexico

We present an approach to ruled surfaces and complex 3D-curves using conformal geometric algebra. As robots and mechanisms move, any line attached to them will trace out a ruled surface. In robotics, the arm of a robot usually needs to follow a curve over a ruled surface or over the intersection of some of them. In this paper we present the way to model and to resolve these problems using algebra of incidence and rigid-motion transformations in the context of the conformal geometric algebra

关键词： Algebra Service robots Surface emitting lasers computer vision Physics Robot vision systems Welding computer graphics Mathematics computer science

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A subdivision scheme to model surfaces with spherelike features

A subdivision scheme to model surfaces with spherelike featu...

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13th International Conference in Central Europe on computer graphics, Visualization and computer vision 2005, WSCG'2005 - In Co-operation with EUROgraphics

作者： Beets, Koen Claes, Johan Van Reeth, Frank Limburgs Universitair Centrum Expertise Centre for Digital Media Universitaire Campus B-3590 Diepenbeek Belgium

ISBN: (纸本)8090310079

In this paper, we introduce a novel subdivision method able to generate smooth surfaces which locally tend to minimize variations in curvature. The method is based on a tensor product of a subdivision scheme for circle splines, which is then generalized to arbitrary quadrilateral meshes. Although they involve a geometric construction, our rules are applied in a uniform way, without the need for applying different rules for different vertices or for different stages in the subdivision process. This results in a more general and natural way to obtain circular curvatures, unlike other approaches involving subdivision curves able to generate circles. surfaces of revolution are just a basic example, as circular features can be distributed freely over the surfaces generated via our methods. Copyright UNION Agency - Science Press.

关键词： Tensors

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