Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Generative modeling: a symbolic system for geometric modeling
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
A performance study of software and hardware data prefetching schemes
ISCA '94 Proceedings of the 21st annual international symposium on Computer architecture
Geometric programming: a programming approach to geometric design
ACM Transactions on Graphics (TOG)
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Creating generative models from range images
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Robust Parameter Estimation in Computer Vision
SIAM Review
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A versatile 3D model representation for cultural reconstruction
Proceedings of the 2001 conference on Virtual reality, archeology, and cultural heritage
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Journal of Global Optimization
Applying Knowledge to Reverse Engineering Problems
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Billboard clouds for extreme model simplification
ACM SIGGRAPH 2003 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Fitting Subdivision Surfaces to Unorganized Point Data Using SDM
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Developable surface fitting to point clouds
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Generative 3D models: a key to more information within less bandwidth at higher quality
Web3D '05 Proceedings of the tenth international conference on 3D Web technology
Shape segmentation using local slippage analysis
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
3D Shape Recognition and Reconstruction Based on Line Element Geometry
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
Accurate detection of symmetries in 3D shapes
ACM Transactions on Graphics (TOG)
Procedural modeling of buildings
ACM SIGGRAPH 2006 Papers
Seven Research Challenges of Generalized 3D Documents
IEEE Computer Graphics and Applications
Image-based procedural modeling of facades
ACM SIGGRAPH 2007 papers
Guest Editors' Introduction: 3D Documents
IEEE Computer Graphics and Applications
Content-Based 3D Object Retrieval
IEEE Computer Graphics and Applications
Structural Shape Prototypes for the Automatic Classification of 3D Objects
IEEE Computer Graphics and Applications
Feature extraction from large CAD databases using genetic algorithm
Computer-Aided Design
Direct solutions for computing cylinders from minimal sets of 3d points
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Design and Analysis of Optimization Methods for Subdivision Surface Fitting
IEEE Transactions on Visualization and Computer Graphics
Generative parametric design of Gothic window tracery
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Modeling procedural knowledge: a generative modeler for cultural heritage
EuroMed'10 Proceedings of the Third international conference on Digital heritage
Complex and photo-realistic scene representation based on range planar segmentation and model fusion
International Journal of Robotics Research
Generative object definition and semantic recognition
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
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The current methods to describe the shape of three-dimensional objects can be classified into two groups: methods following the composition of primitives approach and descriptions based on procedural shape representations. As a 3D acquisition device returns an agglomeration of elementary objects (e.g. a laser scanner returns points), the model acquisition pipeline always starts with a composition of primitives. Due to the semantic information carried with a generative description, a procedural model provides valuable metadata that make up the basis for digital library services: retrieval, indexing, and searching. An important challenge in computer graphics in the field of cultural heritage is to build a bridge between the generative and the explicit geometry description combining both worlds—the accuracy and systematics of generative models with the realism and the irregularity of real-world data. A first step towards a semantically enriched data description is a reconstruction algorithm based on decreasing exponential fitting. This approach is robust towards outliers and multiple dataset mixtures. It does not need a preceding segmentation and is able to fit a generative shape template to a point cloud identifying the parameters of a shape.