Templatized refinement of triangle meshes using surface interpolation

Su, Yi; Kumar, Ashavani

doi:10.1002/nme.1503

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…However, without an original base model, the position of new vertices can be hard to determine. To resolve this issue, we use the approach by Su and Kumar [31] for refining the mesh model. For each triangle with vertex normals { }, we fit a quartic Bézier patch over it such that where are the control points of and are the Barycentric coordinates associated with .…”

Section: Constructing a 3d Model Of The First Cardiac Framementioning

confidence: 99%

Automatic 4D Reconstruction of Patient-Specific Cardiac Mesh with 1-to-1 Vertex Correspondence from Segmented Contours Lines

Lim

Yeo

et al. 2014

PLoS ONE

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We propose an automatic algorithm for the reconstruction of patient-specific cardiac mesh models with 1-to-1 vertex correspondence. In this framework, a series of 3D meshes depicting the endocardial surface of the heart at each time step is constructed, based on a set of border delineated magnetic resonance imaging (MRI) data of the whole cardiac cycle. The key contribution in this work involves a novel reconstruction technique to generate a 4D (i.e., spatial–temporal) model of the heart with 1-to-1 vertex mapping throughout the time frames. The reconstructed 3D model from the first time step is used as a base template model and then deformed to fit the segmented contours from the subsequent time steps. A method to determine a tree-based connectivity relationship is proposed to ensure robust mapping during mesh deformation. The novel feature is the ability to handle intra- and inter-frame 2D topology changes of the contours, which manifests as a series of merging and splitting of contours when the images are viewed either in a spatial or temporal sequence. Our algorithm has been tested on five acquisitions of cardiac MRI and can successfully reconstruct the full 4D heart model in around 30 minutes per subject. The generated 4D heart model conforms very well with the input segmented contours and the mesh element shape is of reasonably good quality. The work is important in the support of downstream computational simulation activities.

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Section: Constructing a 3d Model Of The First Cardiac Framementioning

confidence: 99%

Automatic 4D Reconstruction of Patient-Specific Cardiac Mesh with 1-to-1 Vertex Correspondence from Segmented Contours Lines

Lim

Yeo

et al. 2014

PLoS ONE

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“…The term parameterization refers to the surface preconstruction, in which the smooth surface is not actually constructed for all points lying on it; only the minimally required surface parameters ATTENTION: The Singapore Copyright Act applies to the use of this document. Nanyang Technological University Library We parameterize a Bézier patch based on the virtual mesh work of Su and Kumar [SK06]. The Bézier patch is in the fourth degree form, for high approximation precision of the actual silhouette shape.…”

Section: Subpolygon Silhouette Renementmentioning

confidence: 99%

“…The details of the calculation of the control points based on the normal and tangent information can be found in the reference [SK06]. Three of the control points at the corners are the vertices of the facet.…”

Section: Subpolygon Silhouette Renementmentioning

confidence: 99%

Enhancement of low resolution models for real time large scale visualization

Gobeawan¹

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My thesis project would have not been realized now without the guidance and support from all the people around me. I would like to express my gratitude especially to my supervisors Stephen John Turner, Shuhong Xu, and Su Yi. For years, they have never grown tired in guiding me all the way from the start of my PhD to the nishing of my thesis. My thanks also goes to many friends who have been encouraging me to keep up on my study. Toshi, Anton, and Ratna; I thank them for really sitting down with me many times to listen and to provide feedback to my research work for the sake of my progressing with the work. I also thank my school friends who often drop by to share their study challenges and advices: Stephanus Tandjung, Richard Jayadi, Nganh, Maryam, Chee Kwang, Keisuke, Mobeen, and many more. I would like to thank my sports buddies, Eileen, Yuris, and others for their lively games that recharge me for research. Many thanks to NTU PDCC laboratory sta and fellow students: Irene, Tay Se, Wang Yong, Yu Hong, and others, for sharing our school burden and spending the longest hours together focusing on our own projects. They have been keeping me going with my research. I wish to thank many NTU sta and lecturers that have been giving their best assistance all along for the progress of my study: Edmond Prakash, who taught me to think freely to create new things, Goh Wooi Boon, Francis Lee, Yeo Chai Kiat, Lin Feng, Yap Lee Jong, and many more. They have inspired me to be one of them one day. I would also like to show my gratitude to many IHPC sta for their technical and

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Rapid Generation of Patient-specific Anatomical Models for Usage in Virtual Environment

Law

Eng

Lim

et al. 2011

Computer-Aided Design and Applications

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Tolerance is an almost ubiquitous concern during the whole product life cycle, and its management is imperative for seamless integration of CAD and CAM. In this paper, how to interpret tolerance semantics based on a mathematical definition of tolerance is presented. First, the tolerance zone is divided into three types according to four basic attributes: size, form, position, and orientation. The key to representing tolerance semantics exactly is to determine the position and orientation of the tolerance zone. Then, based on variations in degrees of freedom (DOF), the algebraic constraint equations for the tolerance zone boundary and variational features are deduced systematically, leading to an exact and complete interpretation of the tolerance semantics. Finally, an example is given to illustrate the rationality of the proposed method.

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Templatized refinement of triangle meshes using surface interpolation

Cited by 3 publications

References 9 publications

Automatic 4D Reconstruction of Patient-Specific Cardiac Mesh with 1-to-1 Vertex Correspondence from Segmented Contours Lines

Automatic 4D Reconstruction of Patient-Specific Cardiac Mesh with 1-to-1 Vertex Correspondence from Segmented Contours Lines

Enhancement of low resolution models for real time large scale visualization

Rapid Generation of Patient-specific Anatomical Models for Usage in Virtual Environment

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