„Marching Cube“-Algorithmen zur schnellen Generierung von Isoflächen auf der Basis dreidimensionaler Datenfelder

Heiden, Wolfgang; Goetze, T.; Brickmann, Jürgen

doi:10.1007/978-3-642-76780-7_7

Cited by 5 publications

(4 citation statements)

References 1 publication

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“…5. Modifications of the original algorithm assured closeness of the generated surfaces and permitted sub-voxel resolution by adjusting positions of mesh nodes based on edge-wise interpolation of intensities 12 .…”

Section: Resultsmentioning

confidence: 99%

Towards Computational Modeling of Excitation-Contraction Coupling in Cardiac Myocytes: Reconstruction of Structures and Proteins From Confocal Imaging

et al. 2008

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Computational models of excitation-contraction (EC) coupling in myocytes are valuable tools for studying the signaling cascade that transduces transmembrane voltage into mechanical responses. A key component of these models is the appropriate description of structures involved in EC coupling, such as the sarcolemma and ion channels. This study aims at developing an approach for spatial reconstruction of these structures. We exemplified our approach by reconstructing clusters of ryanodine receptors (RyRs) together with the sarcolemma of rabbit ventricular myocytes. The reconstructions were based on dual labeling and three-dimensional (3D) confocal imaging of segments of fixed and permeabilized myocytes lying flat or on end. The imaging led to 3D stacks of cross-sections through myocytes. Methods of digital image processing were applied to deconvolve, filter and segment these stacks. Finally, we created point meshes representing RyR distributions together with volume and surface meshes of the sarcolemma. We suggest that these meshes are suitable for computational studies of structure-function relationships in EC coupling. We propose that this approach can be extended to reconstruct other structures and proteins involved in EC coupling.

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Section: Resultsmentioning

confidence: 99%

Towards Computational Modeling of Excitation-Contraction Coupling in Cardiac Myocytes: Reconstruction of Structures and Proteins From Confocal Imaging

et al. 2008

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“…Um aus diesen Daten erneut eine Oberfläche zu generieren, wird der Marching Cubes Algorithmus herangezogen [4]. Da der ursprüngliche Algorithmus keine geschlossene Oberfläche generiert, wird im Rahmen der vorliegenden Arbeit ein erweiterter Algorithmus verwendet [5].…”

Section: Rekonstruktion Der Aktiven Konturunclassified

Topologisch Veränderbare Dreidimensionale Aktive Konturen in Der Medizinischen Bildverarbeitung

Thomas

Sachse

Werner

et al. 2000

Biomedizinische Technik/Biomedical Engineering

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EINLEITUNGDie bildgebenden Verfahren der Medizin und die Methoden der digitalen Bildverarbeitung spielen eine zunehmend große Rolle bei der Diagnostik, der Operationsplanung und der Modellierung des menschlichen Körpers. Die Segmentation einzelner Strukturen aus medizinischen Datensätzen ist ein wichtiger Teilschritt, um Gewebearten klassifizieren zu kön-nen. Aktive Kontur Modelle eignen sich zur Segmentation klinischer tomographischer Datensätze, da sie tolerant gegenüber Artefakten sind. Sie sind jedoch häufig dadurch beschränkt, dass sie ihre Topologie nicht verändern können und somit nicht in der Lage, anatomisch komplexe Strukturen zu modellieren.Das hier vorgestellte topologisch veränderbare Aktive Kontur Modell stellt eine Erweiterung Aktiver Konturen dar. Durch die nachfolgend beschriebene Methode ist die topologisch veränderbare Aktive Kontur m der Lage sich zu teilen. Weiterhin kön-nen Fronten einer oder mehrerer Konturen miteinander verschmelzen. Durch diese Eigenschaften wird die Segmentation komplexer Strukturen möglich.

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“…We have shown that the ambiguity arising on faces with alternating vertices does not require abandonment of this well-defined behaviour of surfaces. Heiden et al 13 attempted to extend MC so that hot vertices which are not connected by cube edges are covered by the same surface. However, they do not claim that their algorithm works consistently for all possible combinations.…”

Section: Detection and Mending Of Leaksmentioning

confidence: 99%

“…The coordinates are relative to the actual cube. Now treatment [comb] [13] shows whether or not a combination is inverted. If an inverted combination meets a non-inverted one, i.e., if treatment [comb] [13] of the actual cube is not equal to treatment [comb2] [13] of the adjacent cube sharing the ambiguous face, leak mending is carried out.…”

Section: Implementation Of a Completely Tabulatedmentioning

confidence: 99%

Fast Generation of Leakproof Surfaces from Well‐Defined Objects by a Modified Marching Cubes Algorithm

Roll

Haase

Kienlin

1995

Computer Graphics Forum

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Local surface reconstruction by the Marching Cubes algorithm and its derivatives has a well known ambiguity, which prevents constructed surfaces from being closed and simple. We investigate this ambiguity assuming that a 3D image samples well‐defined objects. In this case it is justified to aim at tiling of extracted object voxels rather than at reconstructing iso surfaces. Compared to iso surface reconstruction, our algorithm provides essentially the same level of confidence with respect to surface location at a lower computational cost. We present a leak detection and mending scheme which resolves the Marching Cubes ambiguity and guarantees a well‐defined behaviour with respect to which objects are covered by which surface. We detail how to implement our leak mending method within a completely tabulated Marching Cubes algorithm. We finally give an example of how the adapted algorithm is of benefit to a recently developed 3D MR spectroscopy technique.

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„Marching Cube“-Algorithmen zur schnellen Generierung von Isoflächen auf der Basis dreidimensionaler Datenfelder

Cited by 5 publications

References 1 publication

Towards Computational Modeling of Excitation-Contraction Coupling in Cardiac Myocytes: Reconstruction of Structures and Proteins From Confocal Imaging

Towards Computational Modeling of Excitation-Contraction Coupling in Cardiac Myocytes: Reconstruction of Structures and Proteins From Confocal Imaging

Topologisch Veränderbare Dreidimensionale Aktive Konturen in Der Medizinischen Bildverarbeitung

Fast Generation of Leakproof Surfaces from Well‐Defined Objects by a Modified Marching Cubes Algorithm

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