Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
The approximation power of moving least-squares
Mathematics of Computation
Least squares surface approximation using multiquadrics and parametric domain distortion
Computer Aided Geometric Design
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Realistic ray tracing
Meshless parameterization and surface reconstruction
Computer Aided Geometric Design
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Efficient high quality rendering of point sampled geometry
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Proceedings of the conference on Visualization '01
Interactive view-dependent rendering of large isosurfaces
Proceedings of the conference on Visualization '02
Repeated Knots in Least Squares Multiquadric Functions
Geometric Modelling, Dagstuhl, Germany, 1993
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Iso-Splatting: A Point-Based Alternative to Isosurface Visualization
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Extraction of crack-free isosurfaces from adaptive mesh refinement data
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Interactive Point-based Isosurface Exploration and High-quality Rendering
IEEE Transactions on Visualization and Computer Graphics
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualization of Cosmological Particle-Based Datasets
IEEE Transactions on Visualization and Computer Graphics
Direct isosurface extraction from scattered volume data
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Simplification of unstructured tetrahedral meshes by point sampling
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
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We propose a meshless method for the extraction of high-quality continuous isosurfaces from volumetric data represented by multiple grids, also called "multiblock" data sets. Multiblock data sets are commonplace in computational mechanics applications. Relatively little research has been performed on contouring multiblock data sets, particularly when the grids overlap one another. Our algorithm proceeds in two steps. In the first step, we determine a continuous interpolant using a set of locally defined radial basis functions (RBFs) in conjunction with a partition of unity method to blend smoothly between these functions. In the second step, we extract isosurface geometry by sampling points on Marching Cubes triangles and projecting these point samples onto the isosurface defined by our interpolant. A surface splatting algorithm is employed for visualizing the resulting point set representing the isosurface. Because of our method's generality, it inherently solves the "crack problem" in isosurface generation. Results using a set of synthetic data sets and a discussion of practical considerations are presented. The importance of our method is that it can be applied to arbitrary grid data regardless of mesh layout or orientation.