Contour-based surface reconstruction using MPU implicit models

Braude, I. S.; Marker, Jeffrey; Museth, Ken; Nissanov, Jonathan; Breen, David E.

doi:10.1016/j.gmod.2006.09.007

Cited by 40 publications

(34 citation statements)

References 59 publications

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“…However, due to space constraints, further comparison with these techniques will be the subject of future work. Finally, we will also show that our algorithm compares favorably with existing surface reconstruction algorithms [2,5,21,20,19].…”

Section: Introductionmentioning

confidence: 84%

“…Following the quantitative information given in [19], we compare the performances of power watershed for the Stanford bunny reconstruction with different methods [2,5,21,20,19]. All these methods, including the power watershed, reconstruct a surface close to the Bunny set of dots, with an error comprised between 2 × 10 −4 and 6 × 10 −4 .…”

Section: Comparison With Some Other Approachesmentioning

confidence: 99%

“…In terms of computation time, the Power Crust method [2] is about 10 times slower, and the Poisson method [20] 3 times slower than our PW approach. Although the FFT [21], MPU [5] and Hoppe et al [18] methods are fast, the FFT method suffers from large memory requirements limiting the grid resolution, and Hoppe et al and MPU methods produces artifacts in the presence of noise (See [19]). The method of Jalba and Roerdink [19], based on Coulomb potentials, uses 4 times less memory than our power watershed method, but is 5 to 10 times slower on a CPU and is still slower using a GPU.…”

Section: Comparison With Some Other Approachesmentioning

confidence: 99%

“…Local methods for surface reconstruction including the MPU method [5] are sensitive to noise, as shown in the experiments of [19]. Among the recent global approaches, the Poisson method [20] and FFT-method [21] are more robust to noise, however they require orientation information.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Surface Reconstruction Using Power Watershed

Bresson

Najman

Talbot

et al. 2011

Mathematical Morphology and Its Applications to Image and Signal Processing

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Abstract. Surface reconstruction from a set of noisy point measurements has been a well studied problem for several decades. Recently, variational and discrete optimization approaches have been applied to solve it, demonstrating good robustness to outliers thanks to a global energy minimization scheme. In this work, we use a recent approach embedding several optimization algorithms into a common framework named power watershed. We derive a specific watershed algorithm for surface reconstruction which is fast, robust to markers placement, and produces smooth surfaces. Experiments also show that our proposed algorithm compares favorably in terms of speed, memory requirement and accuracy with existing algorithms.

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Section: Introductionmentioning

confidence: 84%

Section: Comparison With Some Other Approachesmentioning

confidence: 99%

Section: Comparison With Some Other Approachesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Surface Reconstruction Using Power Watershed

Bresson

Najman

Talbot

et al. 2011

Mathematical Morphology and Its Applications to Image and Signal Processing

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show abstract

“…See the papers by Nonato et al [6] and Braude et al [1] and the references therein for examples of mesh and voxel-based solutions, respectively. Previous solutions to the multiphase problem have all been of the voxel-based type.…”

Section: Introductionmentioning

confidence: 99%

Reconstructing Cell Complexes From Cross-sections

Dillard

Thoma

Hamann

2010

Mathematics and Visualization

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Abstract. Many interesting segmentations take the form of cell complexes. We present a method to infer a 3D cell complex from of a series of 2D cross-sections. We restrict our attention to the class of complexes whose duals resemble triangulations. This class includes microstructures of polycrystalline materials, as well as other cellular structures found in nature. Given a prescribed matching of 2D cells in adjacent cross-sections we produce a 3D complex spanning these sections such that matched 2-cells are contained in the interior of the same 3-cell. The reconstruction method considers only the topological structure of the input. After an initial 3D complex is recovered, the structure is altered to accommodate geometric properties of the dataset. We evaluate the method using ideal, synthetic datasets as well as serial-sectioned micrographs from a sample of tantalum metal.

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Maximizing modern distribution of complex anatomical spatial information: 3D reconstruction and rapid prototype production of anatomical corrosion casts of human specimens

Nie

et al. 2012

Anatomical Sciences Ed

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Anatomical corrosion casts of human specimens are useful teaching aids. However, their use is limited due to ethical dilemmas associated with their production, their lack of perfect reproducibility, and their consumption of original specimens in the process of casting. In this study, new approaches with modern distribution of complex anatomical spatial information were explored to overcome these limitations through the digitalization of anatomical casts of human specimens through three-dimensional (3D) reconstruction, rapid prototype production, and Web-based 3D atlas construction. The corrosion cast of a lung, along with its associated arteries, veins, trachea, and bronchial tree was CT-scanned, and the data was then processed by Mimics software. Data from the lung casts were then reconstructed into 3D models using a hybrid method, utilizing both "image threshold" and "region growing." The fine structures of the bronchial tree, arterial, and venous network of the lung were clearly displayed and demonstrated their distinct relationships. The multiple divisions of bronchi and bronchopulmonary segments were identified. The 3D models were then uploaded into a rapid prototype 3D printer to physically duplicate the cast. The physically duplicated model of the lung was rescanned by CT and reconstructed to detect its production accuracy. Gross observation and accuracy detection were used to evaluate the duplication and few differences were found. Finally, Virtual Reality Modeling Language (VRML) was used to edit the 3D casting models to construct a Web-based 3D atlas accessible through Internet Explorer with 3D display and annotation functions.

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Contour-based surface reconstruction using MPU implicit models

Cited by 40 publications

References 59 publications

Surface Reconstruction Using Power Watershed

Surface Reconstruction Using Power Watershed

Reconstructing Cell Complexes From Cross-sections

Maximizing modern distribution of complex anatomical spatial information: 3D reconstruction and rapid prototype production of anatomical corrosion casts of human specimens

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