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384
Chord Length (Motivated) Parameterization of Marching Cubes IsoSurfaces
, 2004
"... We describe a new technique for the parameterization of isosurfaces which result form the marching cubes (mc) algorithm. The motivation for the methods is based upon the method of chord length parameterization for curves. The method of extending the concept of curve parameterization to isosurface pa ..."
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We describe a new technique for the parameterization of isosurfaces which result form the marching cubes (mc) algorithm. The motivation for the methods is based upon the method of chord length parameterization for curves. The method of extending the concept of curve parameterization to isosurface
Marching cubes: A high resolution 3D surface construction algorithm
 COMPUTER GRAPHICS
, 1987
"... We present a new algorithm, called marching cubes, that creates triangle models of constant density surfaces from 3D medical data. Using a divideandconquer approach to generate interslice connectivity, we create a case table that defines triangle topology. The algorithm processes the 3D medical d ..."
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Cited by 2696 (4 self)
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We present a new algorithm, called marching cubes, that creates triangle models of constant density surfaces from 3D medical data. Using a divideandconquer approach to generate interslice connectivity, we create a case table that defines triangle topology. The algorithm processes the 3D medical
Exact Isosurfaces for Marching Cubes
 COMPUTER GRAPHICS FORUM
, 2002
"... In this paper we study the exact contours of a piecewise trilinear scalar field. We show how to represent these contours exactly as trimmed surfaces of triangular rational cubic Bézier patches. As part of this, we introduce an extension of the marching cubes algorithm which gives a topologically exa ..."
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Cited by 4 (0 self)
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In this paper we study the exact contours of a piecewise trilinear scalar field. We show how to represent these contours exactly as trimmed surfaces of triangular rational cubic Bézier patches. As part of this, we introduce an extension of the marching cubes algorithm which gives a topologically
Quality isosurface mesh generation using an extended marching cubes lookup table
 Comput. Graph. Forum
"... The Marching Cubes Algorithm may return degenerate, zero area isosurface triangles, and often returns isosurface triangles with small areas, edges or angles. We show how to avoid both problems using an extended Marching Cubes lookup table. As opposed to the conventional Marching Cubes lookup table, ..."
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Cited by 9 (0 self)
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The Marching Cubes Algorithm may return degenerate, zero area isosurface triangles, and often returns isosurface triangles with small areas, edges or angles. We show how to avoid both problems using an extended Marching Cubes lookup table. As opposed to the conventional Marching Cubes lookup table
Octrees for faster isosurface generation
 IEEE TRANSACTIONS ON MEDICAL IMAGING
, 2000
"... The large size of many volume data sets often prevents visualization algorithms from providing interactive rendering. The use of hierarchical data structures can ameliorate this problem by storing summary information to prevent useless exploration of regions of little or no current interest within ..."
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Cited by 322 (3 self)
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different, then discards it when its useful life is over. Using the application of octrees to isosurface generation as a focus, space and time comparisons for octreebased versus more traditional "marching" methods are presented.
Marching Cubes 33: Construction of Topologically Correct Isosurfaces
, 1995
"... An algorithm implemented in the HIGZ graphics package for the construction of isosurfaces from volumetric datasets is discussed. This algorithm is an improved version of the Marching Cubes method. For each cell considered independently, the algorithm permits the construction of a triangle model, the ..."
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Cited by 57 (0 self)
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An algorithm implemented in the HIGZ graphics package for the construction of isosurfaces from volumetric datasets is discussed. This algorithm is an improved version of the Marching Cubes method. For each cell considered independently, the algorithm permits the construction of a triangle model
Approximation of Isosurface in the Marching Cube: Ambiguity Problem
, 1994
"... The purpose of the present article is the consideration of the problem of ambiguity over the faces arising in the Marching Cube algorithm. The article shows that for unambiguous choice of the sequence of the points of intersection of the isosurface with edges confining the face it is su#cient to sor ..."
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Cited by 26 (1 self)
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The purpose of the present article is the consideration of the problem of ambiguity over the faces arising in the Marching Cube algorithm. The article shows that for unambiguous choice of the sequence of the points of intersection of the isosurface with edges confining the face it is su
Discretized Marching Cubes
 Visualization '94 Proceedings
, 1994
"... Since the introduction of standard techniques for isosurface extraction from volumetric datasets, one of the hardest problems has been to reduce the number of triangles (or polygons) generated. This paper presents an algorithm that considerably reduces the number of polygons generated by a Marching ..."
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Cited by 85 (5 self)
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Since the introduction of standard techniques for isosurface extraction from volumetric datasets, one of the hardest problems has been to reduce the number of triangles (or polygons) generated. This paper presents an algorithm that considerably reduces the number of polygons generated by a Marching
View Dependent Isosurface Extraction
 In IEEE Visualization ’98
, 1998
"... We propose a new approach to polygonal isosurface extraction that is based on extracting only the visible portion of the isosurface. The visibility tests are done in two phases. First, coarse visibility tests are performed in software to determine the visible cells. These tests are based on hierarch ..."
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Cited by 78 (11 self)
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phases are done on a separate machines. 1 Introduction The marching cubes [11, 23] met...
Regularised Marching Tetrahedra: Improved IsoSurface Extraction
 Computers and Graphics
, 1998
"... Marching cubes is a simple and popular method for extracting isosurfaces from implicit functions or discrete threedimensional (3D) data. However, it does not guarantee the surface to be topologically consistent with the data, and it creates triangulations which contain many triangles of poor aspe ..."
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Cited by 71 (8 self)
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Marching cubes is a simple and popular method for extracting isosurfaces from implicit functions or discrete threedimensional (3D) data. However, it does not guarantee the surface to be topologically consistent with the data, and it creates triangulations which contain many triangles of poor
Results 1  10
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384