Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometrically deformed models: a method for extracting closed geometric models form volume data
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Guaranteed-quality mesh generation for curved surfaces
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
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
Serious putty: topological design for variational curves and surfaces
Serious putty: topological design for variational curves and surfaces
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A Level-Set Approach to 3D Reconstruction from Range Data
International Journal of Computer Vision
A novel FEM-based dynamic framework for subdivision surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Skin: a constructive approach to modeling free-form shapes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
General Object Reconstruction Based on Simplex Meshes
International Journal of Computer Vision
Optimal surface reconstruction from planar contours
Communications of the ACM
Proceedings of the sixth ACM symposium on Solid modeling and applications
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Dynamic Meshes for Accurate Polygonization of Implicit Surfaces with Sharp Features
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Extracting boundary surface of arbitrary topology from volumetric datasets
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Model-based human shape reconstruction from multiple views
Computer Vision and Image Understanding
Handling Topological Changes in the Topological Active Volumes Model
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
Self-organizing deformable model: a new method for fitting mesh model to given object surface
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
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This paper presents a surface reconstruction algorithm that can recover correct shape geometry as well as its unknown topology from both volumetric images and unorganized point clouds. The algorithm starts from a simple seed model (of genus zero) that can be arbitrarily initiated within any datasets. The deformable behavior of the model is governed by a locally defined objective function associated with each vertex of the model. Through the numerical computation of function optimization, the algorithm can adaptively subdivide the model geometry, automatically detect self-collision of the model, properly modify its topology (because of the occurrence of self-collision), continuously evolve the model towards the object boundary, and reduce fitting error and improve fitting quality via global refinement. Commonly used mesh optimization techniques are employed throughout the geometric deformation and topological variation to ensure the model both locally smooth and globally well defined. Our experiments have demonstrated that the new modeling algorithm is valuable for iso-surface extraction in visualization, shape recovery and segmentation in medical imaging, and surface reconstruction in reverse engineering.