Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Genetic programming (videotape): the movie
Genetic programming (videotape): the movie
Separation for boundary to CSG conversion
ACM Transactions on Graphics (TOG)
Graphics gems IV
Genetic algorithms + data structures = evolution programs (3rd ed.)
Genetic algorithms + data structures = evolution programs (3rd ed.)
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
An Adaptive Nonlinear Least-Squares Algorithm
ACM Transactions on Mathematical Software (TOMS)
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Robust Segmentation of Primitives from Range Data in the Presence of Geometric Degeneracy
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the sixth ACM symposium on Solid modeling and applications
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Direct Segmentation of Smooth, Multiple Point Regions
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Three-dimensional binary space partitioning tree and constructive solid geometry tree construction from algebraic boundary representations
Shape Recovery Using Functionally Represented Constructive Models
SMI '04 Proceedings of the Shape Modeling International 2004
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
3D Shape Reconstruction of Template Models Using Genetic Algorithms
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
An integrating approach to meshing scattered point data
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Field modeling with sampled distances
Computer-Aided Design
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The automation of the function-based (FRep) volumetric modeling task is tackled by introducing template parameterized models and a procedure for recovery of constructive models from segmented point-sets. In order to reuse existing models, we propose to parameterize them and to fit the parameters to different point-sets for optimizing and adapting the shape to different objects of the same class of shapes. The automation of the creation of a constructive FRep model is also considered by creating a recovery procedure for a given segmented pointset and a list of corresponding primitives. A genetic algorithm is used to find the best constructive expression for the object with the given set of primitives in the point cloud segmentation and the set of available operations. The proposed approach is illustrated by fitting of different models to point clouds and by the automatic generation of constructive trees from segmented point-sets for real mechanical parts.