A Polygonal Surface Reconstruction from Oriented Point Set

2020 ◽  
Vol 25 (4) ◽  
pp. 455-461
Author(s):  
Sangkun Park

2013 ◽  
Vol 32 (2pt2) ◽  
pp. 225-234 ◽  
Author(s):  
Florent Lafarge ◽  
Pierre Alliez




Author(s):  
Yoke Kong Kuan ◽  
Paul F. Fischer ◽  
Francis Loth

Compactly supported radial basis functions (RBFs) were used for surface reconstruction of in vivo geometry, translated from two dimensional (2D) medical images. RBFs provide a flexible approach to interpolation and approximation for problems featuring unstructured data in three-dimensional space. Point-set data are obtained from the contour of segmented 2-D slices. Multilevel RBFs allow smoothing and fill in missing data of the original geometry while maintaining the overall structure shape.



2010 ◽  
Author(s):  
David Doria ◽  
Arnaud Gelas

This document presents an implementation of the Poisson surface reconstruction algorithm in the VTK framework. (This code was, with permission, adapted directly from the original implementation by Kazhdan, Bolitho, and Hugues. The original implementation can be found here http://www.cs.jhu.edu/~misha/Code/IsoOctree/). We present a class, vtkPoissonReconstruction, which produces a surface from an oriented point set. A Paraview plugin interface is provided to allow extremely easy experimentation with the new functionality. We propose these classes as an addition to the Visualization Toolkit.



Author(s):  
Ly Phan ◽  
Lu Liu ◽  
Sasakthi Abeysinghe ◽  
Tao Ju ◽  
Cindy M. Grimm


2019 ◽  
Vol 11 (22) ◽  
pp. 2659 ◽  
Author(s):  
Zhu ◽  
Kukko ◽  
Virtanen ◽  
Hyyppä ◽  
Kaartinen ◽  
...  

As data acquisition technology continues to advance, the improvement and upgrade of the algorithms for surface reconstruction are required. In this paper, we utilized multiple terrestrial Light Detection And Ranging (Lidar) systems to acquire point clouds with different levels of complexity, namely dynamic and rigid targets for surface reconstruction. We propose a robust and effective method to obtain simplified and uniform resample points for surface reconstruction. The method was evaluated. A point reduction of up to 99.371% with a standard deviation of 0.2 cm was achieved. In addition, well-known surface reconstruction methods, i.e., Alpha shapes, Screened Poisson reconstruction (SPR), the Crust, and Algebraic point set surfaces (APSS Marching Cubes), were utilized for object reconstruction. We evaluated the benefits in exploiting simplified and uniform points, as well as different density points, for surface reconstruction. These reconstruction methods and their capacities in handling data imperfections were analyzed and discussed. The findings are that i) the capacity of surface reconstruction in dealing with diverse objects needs to be improved; ii) when the number of points reaches the level of millions (e.g., approximately five million points in our data), point simplification is necessary, as otherwise, the reconstruction methods might fail; iii) for some reconstruction methods, the number of input points is proportional to the number of output meshes; but a few methods are in the opposite; iv) all reconstruction methods are beneficial from the reduction of running time; and v) a balance between the geometric details and the level of smoothing is needed. Some methods produce detailed and accurate geometry, but their capacity to deal with data imperfection is poor, while some other methods exhibit the opposite characteristics.



2011 ◽  
Author(s):  
David Doria

This document presents a set of classes (vtkPointSetSurfaceReconstruction, vtkVoxelizePolyData) to produce a surface from an oriented point set. These classes are implemented as VTK filters. A Paraview plugin interface is provided to allow extremely easy experimentation with the new functionality. We propose these classes as an addition to the Visualization Toolkit. The code is available here: https://github.com/daviddoria/PointSetSurfaceReconstruction



Author(s):  
P.J. Phillips ◽  
J. Huang ◽  
S. M. Dunn

In this paper we present an efficient algorithm for automatically finding the correspondence between pairs of stereo micrographs, the key step in forming a stereo image. The computation burden in this problem is solving for the optimal mapping and transformation between the two micrographs. In this paper, we present a sieve algorithm for efficiently estimating the transformation and correspondence.In a sieve algorithm, a sequence of stages gradually reduce the number of transformations and correspondences that need to be examined, i.e., the analogy of sieving through the set of mappings with gradually finer meshes until the answer is found. The set of sieves is derived from an image model, here a planar graph that encodes the spatial organization of the features. In the sieve algorithm, the graph represents the spatial arrangement of objects in the image. The algorithm for finding the correspondence restricts its attention to the graph, with the correspondence being found by a combination of graph matchings, point set matching and geometric invariants.



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