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Topology preserving 2-subfield 3D thinning algorithms

Topology preserving 2-subfield 3D thinning algorithms

引用

7th IASTED International Conference on Signal processing, Pattern Recognition and Applications, SPPRA 2010

作者： Németh, Gábor Kardos, Péter Palágyi, Kálmán Dept of Image Processing and Computer Graphics University of Szeged Szeged Hungary

ISBN: (纸本)9780889868236

This paper presents a new family of 3D thinning algorithms for extracting skeleton-like shape features (i.e, centerline, medial surface, and topological kernel) from volumetric images. A 2-subfield strategy is applied: all points in a 3D picture are partitioned into two subsets which are alternatively activated. At each iteration, a parallel operator is applied for deleting some border points in the active subfield. The proposed algorithms are derived from Ma's sufficient conditions for topology preservation, and they use various endpoint characterizations.

关键词： Three dimensional

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Affine alignment of compound objects: A direct approach

Affine alignment of compound objects: A direct approach

引用

2009 IEEE International Conference on image processing, ICIP 2009

作者： Domokos, Csaba Kato, Zoltan Image Processing and Computer Graphics Dept. University of Szeged PO. Box 652 H-6701 Szeged Hungary

ISBN: (纸本)9781424456543

A direct approach for parametric estimation of 2D affine deformations between compound shapes is proposed. It provides the result as a least-square solution of a linear system of equations. The basic idea is to fit Gaussian densities over the objects yielding covariant functions, which preserves the effect of the unknown transformation. Based on these functions, linear equations are constructed by integrating nonlinear functions over appropriate domains. The main advantages are: linear complexity, easy implementation, works without any time consuming optimization or established correspondences. Comparative tests show that it outperforms state-of-the-art methods both in terms of precision, robustness and complexity. ©2009 IEEE.

关键词： Linear systems

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Establishing correspondences between planar image patches

Establishing correspondences between planar image patches

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2014 International Conference on Digital image Computing: Techniques and Applications, DICTA 2014

作者： Tanács, Attila Majdik, András Molnár, József Rai, Atul Kato, Zoltan Dept. of Image Processing and Computer Graphics University of Szeged P.O. Box 652 Szeged6701 Hungary

ISBN: (纸本)9781479954094

Finding correspondences between image pairs is a fundamental task in computer vision. Herein, we focus on establishing matches between images of urban scenes which are typically composed of planar surface patches with highly repetitive structures. The latter property makes traditional point-based methods unreliable. The basic idea of our approach is to formulate the correspondence problem in terms of homography estimation between planar image regions: given a planar region in one image, we are simultaneously looking for its corresponding segmentation in the other image and the planar homography acting between the two regions. We will show, that due to the overlapping views the general 8 degree of freedom (DOF) of the homography mapping can be geometrically constrained to 3 DOF and the resulting segmentation/registration problem can be efficiently solved by finding the region's occurrence in the second image using pyramid representation and normalized mutual information as the intensity similarity measure. The method has been validated on a large database of building images taken by different mobile cameras and quantitative evaluation confirms robustness against intensity variations, occlusions or the presence of non-planar parts. We also show examples of 3D planar surface reconstruction as well as 2D mosaicking. © 2014 IEEE.

关键词： Degrees of freedom (mechanics)

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A DEFORMABLE 3D ZEBRAFISH MODEL FOR BRIGHT-FIELD MICROSCOPY image SIMULATION 18

A DEFORMABLE 3D ZEBRAFISH MODEL FOR BRIGHT-FIELD MICROSCOPY ...

引用

18th International Conference on Interfaces and Human computer Interaction 2024, IHCI 2024, the 17th International Conference on Game and Entertainment Technologies 2024, GET 2024 and the 18th International Conference on computer graphics, Visualization, computer Vision and image processing 2024, CGVCVIP 2024, Part of the 18th Multi Conference on computer Science and Information Systems 2024, MCCSIS 2024

作者： Jámbor, Richárd Tanács, Attila Dept. of Image Processing and Computer Graphics Institute of Informatics University of Szeged Árpád tér 2. SzegedH-6720 Hungary

ISBN: (纸本)9789898704580

Due to their rapid reproduction, development, and similar genetic structure to humans, zebrafish are popular animals in various biological research. Their small size and body transparency make them convenient to examine under a bright-field light microscope. However, these provide 2-dimensional projected images, which makes 3D measurements difficult. Usual approaches try to reconstruct 3D structures from series of projected images, that is not always an option. In our paper we propose an approach to model the images acquisition process including the 3D parametric deformable model of the zebrafish and the light conditions in the microscopy environment. Our goal is to simulate images that look similar to the real ones using only a few parameters. © 2024 Interfaces and Human computer Interaction. All Rights Reserved.

关键词： Invertebrates

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Growth simulation of human embryo brain 17

Growth simulation of human embryo brain

引用

17th Spring Conference on computer graphics, SCCG 2001

作者： Czanner, S. ɰurikovič, R. Inoue, H. Software Dept. Univ. of Aizu Aizu-Wakamatsu City Japan Department of Computer Graphics and Image Processing Faculty of Mathematics Physics and Computer Science Comenius University Bratislava Slovakia

ISBN: (纸本)0769512151

The growth of the brain of a human embryo changes over a long period of time in the body of the mother. So it is very difficult to observe and to understand that process. Therefore, embryologists have found realistic human organ models and animations to be necessary for their studies, but to create realistic human embryo brain models and to perform the animations requires an appropriate methodology. This paper presents a developing methodology based on the brain's functional representation and the convolutions of the surfaces. We employed this methodology to create a growth simulation of a human embryo's brain. The idea behind this technique is as follows. As a first step a 2D central skeleton is created from an artistic drawing and then a 3D skeleton is modeled by adding thickness information. In the next step, the skeletons representing the key-frame models are used to create an animation. At the end, the gap between the key-frame models is filled by suitable interpolation techniques and, finally, the animation is composed. © 2001 IEEE.

关键词： Blending

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Correspondence-Less Non-Rigid Registration of Triangular Surface Meshes

Correspondence-Less Non-Rigid Registration of Triangular Sur...

引用

IEEE Conference on computer Vision and Pattern Recognition

作者： Zsolt Santa Zoltan Kato Image Processing and Computer Graphics Dept. University of Szeged

ISBN: (纸本)9781467364102

A novel correspondence-less approach is proposed to find a thin plate spline map between a pair of deformable 3D objects represented by triangular surface meshes. The proposed method works without landmark extraction and feature correspondences. The aligning transformation is found simply by solving a system of nonlinear equations. Each equation is generated by integrating a nonlinear function over the object's domains. We derive recursive formulas for the efficient computation of these integrals. Based on a series of comparative tests on a large synthetic dataset, our triangular mesh-based algorithm outperforms state of the art methods both in terms of computing time and accuracy. The applicability of the proposed approach has been demonstrated on the registration of 3D lung CT volumes.

关键词： Equations Mathematical model Three-dimensional displays Splines (mathematics) Approximation methods Computational complexity

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Isoptics of Bézier curves

Isoptics of Bézier curves

引用

作者： Kunkli, Roland Papp, Ildikó Hoffmann, Miklós Dept. of Computer Graphics and Image Processing University of Debrecen H-4010 Debrecen Hungary Institute of Mathematics and Computer Science Károly Eszterházy University H-3300 Eger Hungary

Given a planar curve s(t), the locus of those points from which the curve can be seen under a fixed angle is called isoptic curve of s(t). Isoptics are well-known and widely studied, especially for some classical curves such as e.g. conics (Loria, 1911). They can theoretically be computed for a large class of parametric curves by the help of their support functions or by direct computation based on the definition, but unfortunately these computations are extremely complicated even for simple curves. Our purpose is to describe the isoptics of those curves which are still frequently used in geometric modeling - the Bézier curves. It turns out that for low degree Bézier curves the direct computation is possible, but already for degree 4 or 5 the formulas are getting too complicated even for computer algebra systems. Thus we provide a new way to solve the problem, proving some geometric relations of the curve and their isoptics, and computing the isoptics as the envelope of envelopes of families of isoptic circles over the chords of the curve. © 2012 Elsevier B.V.

关键词： Algebra

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Pose Estimation of Ad-Hoc Mobile Camera Networks

Pose Estimation of Ad-Hoc Mobile Camera Networks

引用

Proceedings of the Digital image Computing: Technqiues and Applications (DICTA)

作者： Zsolt Santa Zoltan Kato Image Processing and Computer Graphics Dept University of Szeged Szeged Hungary

An algorithm is proposed for the pose estimation of ad-hoc mobile camera networks with overlapping views. The main challenge is to estimate camera parameters with respect to the 3D scene without any specific calibration pattern, hence allowing for a consistent, camera-independent world coordinate system. The only assumption about the scene is that it contains a planar surface patch of a low-rank texture, which is visible in at least two cameras. Such low-rank patterns are quite common in urban environments. The proposed algorithm consists of three main steps: relative pose estimation of the cameras within the network, followed by the localization of the network within the 3D scene using a low-rank surface patch, and finally the estimation of a consistent scale for the whole system. The algorithm follows a distributed architecture, hence the computing power of the participating mobile devices are efficiently used. The performance and robustness of the proposed algorithm have been analyzed on both synthetic and real data. Experimental results confirmed the relevance and applicability of the method.

关键词： Cameras Three-dimensional displays Estimation Transmission line matrix methods Calibration Mobile communication Ad hoc networks

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Elastic Registration of 3D Deformable Objects

Elastic Registration of 3D Deformable Objects

引用

Proceedings of the Digital image Computing: Technqiues and Applications (DICTA)

作者： Zsolt Sánta Zoltan Kato Image Processing and Computer Graphics Dept. University of Szeged Szeged Hungary

A novel correspondence-less approach is proposed to find a non-linear aligning transformation between a pair of deformable 3D objects. Herein, we consider a polynomial deformation model, but our framework can be easily adapted to other common deformations. The basic idea of the proposed method is to set up a system of nonlinear equations whose solution directly provides the parameters of the aligning transformation. Each equation is generated by integrating a nonlinear function over the object's domains. Thus the number of equations is determined by the number of adopted nonlinear functions yielding a flexible mechanism to generate sufficiently many equations. While classical approaches would establish correspondences between the shapes, our method works without landmarks. The efficiency of the proposed approach has been demonstrated on a large synthetic dataset as well as in the context of medical image registration.

关键词： Polynomials Mathematical model Nickel Deformable models Computational complexity Shape

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Establishing Correspondences between Planar image Patches

Establishing Correspondences between Planar Image Patches

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Proceedings of the Digital image Computing: Technqiues and Applications (DICTA)

作者： Attila Tanacs Andras Majdik Jozsef Molnar Atul Rai Zoltan Kato Dept. of Image Processing and Computer Graphics University of Szeged Szeged Hungary

关键词： Cameras image segmentation Three-dimensional displays Equations Vectors Mobile communication Buildings

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