A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Smoothing of shapes designed with free-form surfaces
Computer-Aided Design
Geometric continuity with interpolating Be´zier curves
Proceedings of Graphics Interface '85 on Computer-generated images: the state of the art
An intuitive approach to geometric continuity for parametric curves and surfaces
Proceedings of Graphics Interface '85 on Computer-generated images: the state of the art
An introduction to the use of splines in computer graphics
An introduction to the use of splines in computer graphics
Computer graphics and geometric modeling using Beta-splines
Computer graphics and geometric modeling using Beta-splines
Curve Fitting by a One-Pass Method With a Piecewise Cubic Polynomial
ACM Transactions on Mathematical Software (TOMS)
Algorithm 525: ADAPT, Adaptive Smooth Curve Fitting [E2]
ACM Transactions on Mathematical Software (TOMS)
Automatic Curve Fitting Using an Adaptive Local Algorithm
ACM Transactions on Mathematical Software (TOMS)
Local Control of Bias and Tension in Beta-splines
ACM Transactions on Graphics (TOG)
Scan line methods for displaying parametrically defined surfaces
Communications of the ACM
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Curve-fitting with piecewise parametric cubics
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
A fast scan-line algorithm for rendering parametric surfaces
SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
Arbitrary Subdivision of Bezier Curves
Arbitrary Subdivision of Bezier Curves
Geometric Continuity of Parametric Curves
Geometric Continuity of Parametric Curves
A design scheme using coons surfaces with nonuniform basis b-spline curves
A design scheme using coons surfaces with nonuniform basis b-spline curves
Quantitative representations of complex dynamic shape for motion analysis
Quantitative representations of complex dynamic shape for motion analysis
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
Accurate triangulations of deformed, intersecting surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Geometric collisions for time-dependent parametric surfaces
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th 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
Implicit reconstruction of solids from cloud point sets
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Surface fitting with hierarchical splines
ACM Transactions on Graphics (TOG)
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
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
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multi-Level Shape Representation Using Global Deformations andLocally Adaptive Finite Elements
International Journal of Computer Vision
A hierarchical approach to interactive motion editing for human-like figures
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Surface approximation and geometric partitions
SODA '94 Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms
Describing free-form 3D surfaces for animation
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
Smooth approximation and rendering of large scattered data sets
Proceedings of the conference on Visualization '01
Controlled Topology Simplification
IEEE Transactions on Visualization and Computer Graphics
Locally Toleranced Surface Simplification
IEEE Transactions on Visualization and Computer Graphics
A Pyramidal Data Structure for Triangle-Based Surface Description
IEEE Computer Graphics and Applications
Superfaces: Polygonal Mesh Simplification with Bounded Error
IEEE Computer Graphics and Applications
Extending Neural Networks for B-Spline Surface Reconstruction
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Interpolating scattered data using 2D self-organizing feature maps
Graphical Models
Terrain Reconstruction with an Adaptive Surface Mesh
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Functional networks for B-spline surface reconstruction
Future Generation Computer Systems - Special issue: Computer graphics and geometric modeling
Silhouette and stereo fusion for 3D object modeling
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Adaptive T-spline surface fitting to z-map models
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Image vectorization using optimized gradient meshes
ACM SIGGRAPH 2007 papers
Functional networks for B-spline surface reconstruction
Future Generation Computer Systems
B-spline surface fitting based on adaptive knot placement using dominant columns
Computer-Aided Design
Information Sciences: an International Journal
| Hi-index | 0.01 |
A method is developed for surface-fitting from sampled data. Surface-fitting is the process of constructing a compact representation to model the surface of an object based on a fairly large number of given data points. In our case, the data is obtained from a real object using an automatic three-dimensional digitizing system. The method is based on an adaptive subdivision approach, a technique previously used for the design and display of free-form curved surface objects. Our approach begins with a rough approximating surface and progressively refines it in successive steps in regions where the data is poorly approximated. The method has been implemented using a parametric piecewise bicubic Bernstein-Bézier surface possessing G1 geometric continuity. An advantage of this approach is that the refinement is essentially local reducing the computational requirements which permits the processing of large databases. Furthermore, the method is simple in concept, yet realizes efficient data compression. Some experimental results are given which show that the representation constructed by this method is faithful to the original database.