Shape from shading
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
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)
Graphics gems IV
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Filling gaps in the boundary of a polyhedron
Computer Aided Geometric Design
Surface fitting with hierarchical splines
ACM Transactions on Graphics (TOG)
Taking advantage of image-based and geometry-based constraints to recover 3-D surfaces
Computer Vision and Image Understanding
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Triangular B-splines for blending and filling of polygonal holes
GI '96 Proceedings of the conference on Graphics interface '96
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th 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
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Journal of Global Optimization
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Shadow Graphs and Surface Reconstruction
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Shape from Shading and Viscosity Solutions
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Catmull-Clark Surface Fitting for Reverse Engineering Applications
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A finite element method for surface restoration with smooth boundary conditions
Computer Aided Geometric Design
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Constructing a 3D trunk model from two images
Graphical Models
Polyhedral simplification preserving character lines extracted from images
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
Technical Section: Automatic hole-filling of CAD models with feature-preserving
Computers and Graphics
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When an object owns complex shapes, or when its outer surfaces are simply inaccessible, some of its parts may not be captured during its reverse engineering. These deficiencies in the point cloud result in a set of holes in the reconstructed mesh. This paper deals with the use of information extracted from digital images to recover missing areas of a physical object. The proposed algorithm fills in these holes by solving an optimization problem that combines two kinds of information: (1) the geometric information available on the surrounding of the holes, (2) the information contained in an image of the real object. The constraints come from the image irradiance equation, a first-order non-linear partial differential equation that links the position of the mesh vertices to the light intensity of the image pixels. The blending conditions are satisfied by using an objective function based on a mechanical model of bar network that simulates the curvature evolution over the mesh. The inherent shortcomings both to the current hole-filling algorithms and the resolution of the image irradiance equations are overcome.