IEEE Transactions on Pattern Analysis and Machine Intelligence
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
On active contour models and balloons
CVGIP: Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
Surface reconstruction from unorganized points
Visual motion of curves and surfaces
Visual motion of curves and surfaces
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the sixth ACM symposium on Solid modeling and applications
Markov random field modeling in image analysis
Markov random field modeling in image analysis
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Real-time 3D model acquisition
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A Theory of Shape by Space Carving
International Journal of Computer Vision - Special issue on Genomic Signal Processing
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Volume Sculpting Using the Level-Set Method
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions
SMI '04 Proceedings of the Shape Modeling International 2004
Surface Sculpting with Stochastic Deformable 3D Surfaces
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
Stochastic 3d geometric models for classification, deformation, and estimation
Stochastic 3d geometric models for classification, deformation, and estimation
A processing for digitizing historical architecture
EuroMed'10 Proceedings of the Third international conference on Digital heritage
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It has become increasingly important to be able to generate free-form 3D shapes in commercial applications using rapid prototyping technologies. In many cases, the shapes of interest are taken from real-world objects that do not have pre-existing computer models. Constructing an accurate model for these objects by hand is extremely time consuming and difficult with even the latest 3D software packages. To aid in the modeling process, 3D scanners are used to capture the object shape and generate a high resolution model of the object. However, these models built from scans often have irregularities that prevent the construction of a useful prototype. This paper proposes a method for generating 3D models suitable for rapid prototyping from measurements of real-world objects taken by a 3D scanner. This is accomplished by taking a cloud of 3D point data as input and fitting a closed 3D surface to the data in such a way as to ensure accuracy in the representation of the object surface and compatibility with a rapid prototyping machine. We treat surface modeling and adaptation to the data in a new framework as 3D stochastic surface estimation.