3B Izometrik Şekil Eşleme

Date

2010-06-01

Author

Sahillioğlu, Yusuf

Metadata

Show full item record

Item Usage Stats

143
views

0
downloads

3B izometrik şekiller arasındaki eşleme problemini ele alıyoruz. Önerdiğimiz yöntem, verilen iki izometrik şekil arasındaki izometrik sapmayı enküçülten optimal eşlemeyi otomatik olarak bulabilmektedir.İzometri hatasını iki adımda eniyiliyoruz. İlk adımda, şekil yüzeylerinden örneklenmiş bir örnek 3B noktalar kesel ilginlik bilgisine dayanarak spektral uzaya aktarılır.İlk eşleme spektral uzayda tam iki kısımlı bir çizge eşleştirme yöntemi kullanarak izometri hatasının polinom zamanda enküçültülmesiyle elde edilir. Elde edilen bu ilk eşleme ikinci adımda, geliştirdiğimiz döngülü fırsatçı bir algoritmayla izometri maliyetini 3B Oklit uzayda enküçülterek iyileştirilir. Yöntemimizi tam olarak ya da neredeyse izometrik şekil çiftleri üzerinde sınıyor ve başarımını gerçekeşleme bilgisine dayanarak veriyoruz.

Subject Keywords

3D Model retrieval, 3D Shape, 3D-Cad

URI

https://hdl.handle.net/11511/74705
https://user.ceng.metu.edu.tr/~ys/pubs/others/izometrik.pdf

DOI

https://doi.org/10.1109/SIU.2010.5651555

Conference Name

IEEE Conference on Signal Processingand Communications Applications (SIU) ( 01 Haziran 2010)

Collections

Department of Computer Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

3D Shape Correspondence by Isometry Driven Greedy Optimization Sahillioğlu, Yusuf (null; 2010-06-01) We present an automatic method that establishes 3D correspondence between isometric shapes. Our goal is to find an optimal correspondence between two given (nearly) isometric shapes, that minimizes the amount of deviation from isometry. We cast the problem as a complete surface correspondence problem. Our method first divides the given shapes to be matched into surface patches of equal area and then seeks for a mapping between the patch centers which we refer to as base vertices. Hence the correspondence is...
3D Shape Correspondence Under Topological Noise Genctav, Ash; Sahillioğlu, Yusuf; Tarı, Zehra Sibel (2016-05-19) In this work, we present a new approach for the problem of 3D shape correspondence under topological noise. Topological noise can be easily encountered in 3D models acquired by various ways such as motion capture technology. In our proposed approach, the pair of 3D shapes is brought to comparable topology before doing matching. We remove the connections leading to topological changes by moving the shape surface inward along the surface normal with a velocity relative to the curvature at each point. We emplo...
Detail-Preserving Mesh Unfolding for Nonrigid Shape Retrieval Sahillioğlu, Yusuf (2016-06-01) We present a shape deformation algorithm that unfolds any given 3D shape into a canonical pose that is invariant to nonrigid transformations. Unlike classical approaches, such as least-squares multidimensional scaling, we preserve the geometric details of the input shape in the resulting shape, which in turn leads to a content-based nonrigid shape retrieval application with higher accuracy. Our optimization framework, fed with a triangular or a tetrahedral mesh in 3D, tries to move each vertex as far away f...
Partial 3-D Correspondence from Shape Extremities Sahillioğlu, Yusuf; Yemez, Y. (2014-09-01) We present a 3-D correspondence method to match the geometric extremities of two shapes which are partially isometric. We consider the most general setting of the isometric partial shape correspondence problem, in which shapes to be matched may have multiple common parts at arbitrary scales as well as parts that are not similar. Our rank-and-vote-and-combine algorithm identifies and ranks potentially correct matches by exploring the space of all possible partial maps between coarsely sampled extremities. Th...
Texture segmentation using the mixtures of principal component analyzers Musa, MEM; Duin, RPW; de Ridder, D; Atalay, Mehmet Volkan (2003-01-01) The problem of segmenting an image into several modalities representing different textures can be modelled using Gaussian mixtures. Moreover, texture image patches when translated, rotated or scaled lie in low dimensional subspaces of the high-dimensional space spanned by the grey values. These two aspects make the mixture of local subspace models worth consideration for segmenting this type of images. In recent years a number of mixtures of local PCA models have been proposed. Most of these models require ...

Citation Formats

Y. Sahillioğlu, “3B Izometrik Şekil Eşleme,” Diyarbakır, Turkey, 2010, p. 5, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/74705.