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
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
The NURBS book
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
Curve reconstruction from unorganized points
Computer Aided Geometric Design
Proceedings of the conference on Visualization '01
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Ray Tracing Point Sampled Geometry
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Point inversion and projection for NURBS curve and surface: control polygon approach
Computer Aided Geometric Design
Ray Tracing Point Set Surfaces
SMI '03 Proceedings of the Shape Modeling International 2003
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Registration of point cloud data from a geometric optimization perspective
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Fitting B-spline curves to point clouds by curvature-based squared distance minimization
ACM Transactions on Graphics (TOG)
Interactive ray tracing of point-based models
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
A second order algorithm for orthogonal projection onto curves and surfaces
Computer Aided Geometric Design
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
A quasi-Monte Carlo method for computing areas of point-sampled surfaces
Computer-Aided Design
On the normal vector estimation for point cloud data from smooth surfaces
Computer-Aided Design
A survey of point-based techniques in computer graphics
Computers and Graphics
On normals and projection operators for surfaces defined by point sets
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
An extension on robust directed projection of points onto point clouds
Computer-Aided Design
Robust principal axes determination for point-based shapes using least median of squares
Computer-Aided Design
Animated solid model of the lung constructed from unsynchronized MR sequential images
Computer-Aided Design
An innovative virtual-engineering system for supporting integrated footwear design
International Journal of Intelligent Engineering Informatics
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A novel method for projecting points onto a point cloud, possibly with noise, is presented based on the point directed projection (DP) algorithm proposed by Azariadis P., Sapidis N. [Drawing curves onto a cloud of points for point-based modelling. Computer-Aided Design 2005; 37(1): 109-22]. The new method operates directly on the point cloud without any explicit or implicit surface reconstruction procedure. The presented method uses a simple, robust, and efficient algorithm: least-squares projection (LSP), which projects points onto the point cloud in a least-squares sense without any specification of the projection vector. The main contribution of this novel method is the automatic computation of the projection vector. Furthermore, we demonstrate the effectiveness of this approach through a number of application examples including thinning a point cloud, point normal estimation, projecting curves onto a point cloud and others.