MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Extraction of topologically simple isosurfaces from volume datasets (2003) [13 citations — 1 self]

Download:
pdf
by Andrzej Szymczak, James V
in IEEE Visualization, 2003
ftp://ftp.cc.gatech.edu/pub/gvu/tr/2003/03-15.pdf
Add To MetaCart

Abstract:

Figure 1: Buddhas of increasing genus. First, the two handles formed by the arms are created, then one on the bottom and, finally, two on the sides. There are numerous algorithms in graphics and visualization whose performance is known to decay as the topological complexity of the input increases. On the other hand, the standard pipeline for 3D geometry acquisition often produces 3D models that are topologically more complex than their real forms. We present a simple and efficient algorithm that allows us to simplify the topology of an isosurface by altering the values of some number of voxels. Its utility and performance are demonstrated on several examples, including signed distance functions from polygonal models and CT scans. I.3.5 [Computing Methodologies]: Computer Graphics—

Citations

5825 Introduction to Algorithms – Cormen, Leiserson, et al. - 1992
691 The laplacian pyramid as a compact image coder – Burt, Adelson - 1983
503 A volumetric method for building complex models from range images – Curless, Levoy - 1996
237 Triangle Mesh Compression – Touma, Gotsman - 1998
195 Morse Theory – Milnor - 1963
159 Real Time Compression of Triangle Mesh Connectivity – Gumhold, Strasser - 1998
157 Marching cubes: a high resolution 3d surface reconstruction algorithm – Lorensen, Cline - 1987
143 D.: Maps: Multiresolution adaptive parameterization of surfaces – Lee, Sweldens, et al. - 1998
141 Geometry images – Gu, Gortler, et al. - 2002
118 Texture mapping progressive meshes – Sander, Snyder, et al. - 2001
84 Valence-driven connectivity encoding of 3d meshes – Alliez, Desbrun - 2001
76 Normal meshes – Guskov, Vidimce, et al. - 2000
75 Contour trees and small seed sets for iso-surface traversal – KREVELD, OOSTRUM, et al. - 1997
66 Fast marching methods – Sethian - 1999
64 Fast surface reconstruction using the level set method – Zhao, Fedkiw - 2001
61 Topological noise removal – WOOD, GUSKOV
60 U.: Computing contour trees in all dimensions – Carr, Snoeyink, et al. - 2003
46 Topology preserving and controlled topology simplifying multiresolution isosurface extraction – Gerstner, Pajarola
45 MESH: Measuring Errors between Surfaces using the Hausdorff – Aspert, Santa-Cruz, et al. - 2002
23 Surface reconstruction based on a dynamical system – Giesen, John - 2002
22 The flow complex: A data structure for geometric modeling – Giesen, John - 2003
22 K.: Efficient computation of the topology of level sets – Pascucci, Cole-McLaughlin - 2002
20 Iso-contouring in higher dimensions – Bhaniramka, Wenger, et al. - 2000
18 Morse theory for implicit surface modeling – Hart - 1998
17 Simplification and repair of polygonal models using volumetric techniques – NOORUDDIN, TURK - 1999
15 A course in simple–homotopy theory – Cohen - 1973
13 A topology preserving deformable model using level sets – Han, Xu, et al. - 2001
12 ZOMORODIAN A.: Topological persistence and simplification – EDELSBRUNNER, LETSCHER - 2000
12 Retinex image processing: Improved fidelity to direct visual observation – JOBSON, RAHMAN, et al. - 1995
10 Isosurface topology simplification – Wood, Hoppe, et al. - 2002
6 A topology preserving geometric deformable model and its application in brain cortical surface reconstruction – Han, Xu, et al. - 2003
5 On the dunce hat – Zeeman - 1964
3 A three-dimensional holes closing algorithm – Aktouf, Bertrand, et al. - 2002
3 Construction of contour trees in 3d in o(nlogn) steps – TARASOV, VYALYI - 1998
1 Surface reconstruction by wrpping finite point sets in space – Edelsbrunner
1 Jarek Rossignac, Andrzej Szymczak, Alla Safanova, and Geovan Tavares. Edgebreaker: A simple algorithm for surfaces with handles – Lopes - 2002