Intrinsic parametrization for approximation
Computer Aided Geometric Design
Proximity control in bundle methods for convex
Mathematical Programming: Series A and B
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Object modelling by registration of multiple range images
Image and Vision Computing - Special issue: range image understanding
Curve and surface fitting with splines
Curve and surface fitting with splines
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A robust method for registration and segmentation of multiple range images
Computer Vision and Image Understanding
Towards a General Multi-View Registration Technique
IEEE Transactions on Pattern Analysis and Machine Intelligence
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Grouping and parameterizing irregularly spaced points for curve fitting
ACM Transactions on Graphics (TOG)
Advanced surface fitting techniques
Computer Aided Geometric Design
Estimating surface normals in noisy point cloud data
Proceedings of the nineteenth annual symposium on Computational geometry
Curve-fitting with piecewise parametric cubics
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Computer Vision and Image Understanding
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
Parameterization-free projection for geometry reconstruction
ACM SIGGRAPH 2007 papers
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Voronoi-based variational reconstruction of unoriented point sets
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Space-time surface reconstruction using incompressible flow
ACM SIGGRAPH Asia 2008 papers
Relaxed proximal point algorithms for variational inequalities with multi-valued operators
Optimization Methods & Software
Fitting curves and surfaces to point clouds in the presence of obstacles
Computer Aided Geometric Design
A Class of Algorithms for Fast Digital Image Registration
IEEE Transactions on Computers
Multiview registration for large data sets
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Sample-based polynomial approximation of rational Bézier curves
Journal of Computational and Applied Mathematics
Technical Section: Quadratic curve and surface fitting via squared distance minimization
Computers and Graphics
SMI 2012: Short A revisit to fitting parametric surfaces to point clouds
Computers and Graphics
Sparse iterative closest point
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Many problems in computer aided geometric design and geometry processing are stated as least-squares optimizations. Least-squares problems are well studied and widely used but exhibit immanent drawbacks such as high sensitivity to outliers. For this reason, we consider techniques for the registration of point clouds and surface fitting to point sets based on the l"1-norm. We develop algorithms to solve l"1-registration and l"1-fitting problems and explore the emerging non-smooth minimization problems. We describe efficient ways to solve the optimization programs and present results for various applications.