-smooth branching surface construction from cross sections

Gabrielides, Nikolaos C.; Ginnis, A. I.; Kaklis, Panagiotis; Karavelas, Menelaos I.

doi:10.1016/j.cad.2007.05.004

Cited by 35 publications

(20 citation statements)

References 32 publications

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“…15 shows the shaded surface for the test result shown in Fig 14. The technique given in [5,6] can not directly handle the branching surface. The results given in [19] for branching are shifted towards the junction of the layer having single contour. …”

Section: Resultsmentioning

confidence: 89%

“…Loop and Schafefer, [18] approximated Catmull-Clark subdivision surfaces by minimal set of bicubic patch. A brief overview of branching problems has been explained in reference [19], which involves skinning, trimming and hole filling. In reference [20] an algorithm has been developed to obtain branching surfaces by energy based skinning of compatible 2-D curves obtained by energy-based approximation.…”

Section: Previous Workmentioning

confidence: 99%

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Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision

Jha

2009

Lecture Notes in Computer Science

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Abstract. In the current research a new algorithm has been developed to get surface from the contours having branches and a final smooth surface is obtained by reversible Catmull-Clark Subdivision. In branching, a particular layer has more than one contour, corresponds with the contour at the adjacent layer. The layer having more than one contour is converted into a 3D composite curve by inserting points between the layers. The points are inserted in such a way that the center of contours should merged to the center of the contours at the adjacent layer. This process is repeated for all layers having branching problems. In the next step, 3D composite curves are converted into different polyhedrons by the help of the contours at adjacent layers. Number of control points at different layer for contours and 3D curves may not be the same, in this case a special polyhedron construction technique has been developed. The polyhedrons are subdivided using reversible Catmull-Clark subdivision to give a smooth surface.

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Section: Resultsmentioning

confidence: 89%

Section: Previous Workmentioning

confidence: 99%

Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision

Jha

2009

Lecture Notes in Computer Science

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“…These holes were filled using an additional Coons patch. Subsequent hole filling using Gordon Coons patch was also used by Gabrielides et al [2]. They split the problem in a sequence of local Hermite surfaces and integrated them with G 1 continuity, after which the hole was patched.…”

Section: Previous Related Workmentioning

confidence: 99%

“…The method proposed in this paper requires no such separate steps to build different parts separately, which saves computation cost and simplifies the process. Some of the techniques [2][3][4] in the direction to get smooth surfaces required an additional hole filling step. Guo et al [3] used parallel transport frame to obtain half tube sweeped surfaces which had to be patched with additional Bezier surfaces.…”

Section: Previous Related Workmentioning

confidence: 99%

Reconstruction of Branched Surfaces: Experiments with Disjoint B-spline Surface

Bhatt¹,

Goel²,

Gupta³

et al. 2014

Computer-Aided Design and Applications

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Reconstruction of branched surfaces is an important class of reconstructing problems with wide applications in modeling of branched structures in fields like biomedical and automotive. For multiple branching, the sections are normally segmented, reconstructed and then combined together, and thus involve serial processes that are computationally expensive. Moreover, maintaining continuity between such reconstructed patches while preserving the topological features is also difficult. The present work reconstructs the disjoint surface with the help of a single equation from sectional data. At the same time it addresses the requirements of continuity, geometric and topological complexities. Behaviour of surface contours by varying control points is studied and then by electing an appropriate arrangement of control points and manipulating the control polyhedron a continuous surface is generated. The systematic development of the method is discussed with the help of experiments with excellent results for bifurcations and multiple-bifurcations.

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“…However, anatomically relevant representations should place them between adjacent sections. This can be done manually [5] or at the visualization stage, at the cost of interpolating numerous intermediate contours [3].…”

Section: Introductionmentioning

confidence: 99%

Reconstructing the three-dimensional surface of a branching and merging biological structure from a stack of coplanar contours

Burguet¹,

Mailly

Maurin³

et al. 2011

2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro

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We address here two important problems when reconstructing the three-dimensional surface of a biological structure from a stack of section contours. The correspondence problem, which aims at associating contours on adjacent sections, is solved using connection constraints and a contour association cost function to build a correspondence graph. The branching problem, which aims to reconstruct the surface between one contour and several ones on the adjacent section, is decomposed as a cascade of bifurcations at linearly interpolated contour locations between sections. Our method restores connections even for distant contours and produces anatomically relevant branching reconstructions. The validity of this approach is illustrated on two neuroanatomical datasets.

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-smooth branching surface construction from cross sections

Cited by 35 publications

References 32 publications

Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision

Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision

Reconstruction of Branched Surfaces: Experiments with Disjoint B-spline Surface

Reconstructing the three-dimensional surface of a branching and merging biological structure from a stack of coplanar contours

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