A fast algorithm for particle simulations
Journal of Computational Physics
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
On active contour models and balloons
CVGIP: Image Understanding
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
3D imaging in medicine
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Extracting surfaces from fuzzy 3D-ultrasound data
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
SIAM Journal on Scientific Computing
Exploiting Triangulated Surface Extraction Using Tetrahedral Decomposition
IEEE Transactions on Visualization and Computer Graphics
Visualization of 3D Ultrasound Data
IEEE Computer Graphics and Applications
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Topologically adaptable snakes
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
Case study: observing a volume rendered fetus within a pregnant patient
VIS '94 Proceedings of the conference on Visualization '94
Visualization in Medicine: Theory, Algorithms, and Applications
Visualization in Medicine: Theory, Algorithms, and Applications
A PC-based freehand three-dimensional ultrasound
ACST'07 Proceedings of the third conference on IASTED International Conference: Advances in Computer Science and Technology
Computer-assisted intramedullary nailing using real-time bone detection in 2D ultrasound images
MLMI'11 Proceedings of the Second international conference on Machine learning in medical imaging
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
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This paper presents a new technique for the extraction of surfaces from 3D ultrasound data. Surface extraction from ultrasound data is challenging for a number of reasons including noise and artifacts in the images and non-uniform data sampling. A method is proposed to fit an approximating radial basis function to the group of data samples. An explicit surface is then obtained by iso-surfacing the function. In most previous 3D ultrasound research, a pre-processing step is taken to interpolate the data into a regular voxel array and a corresponding loss of resolution. We are the first to represent the set of semi-structured ultrasound pixel data as a single function. From this we were able to extract surfaces without first reconstructing the irregularly spaced pixels into a regular 3D voxel array.