Surface Reconstruction Based on Compactly Supported Radial Basis Functions
نویسندگان
چکیده
In this chapter the use of compactly-supported radial basis functions for surface reconstruction is described. To solve the problem of reconstruction or volume data generation specially designed software is employed. Time performance of the algorithm is investigated. Thanks to the efficient octree algorithm used in this study, the resulting matrix is a band diagonal matrix that reduces computational costs.
منابع مشابه
Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model
In this paper, indirect collocation approach based on compactly supported radial basis function (CSRBF) is applied for solving Volterra's population model. The method reduces the solution of this problem to the solution of a system of algebraic equations. Volterra's model is a non-linear integro-differential equation where the integral term represents the effect of toxin. To solve the pr...
متن کاملAn Image Inpainting Algorithm Based on CSRBF Interpolation
In this paper, we propose a novel algorithm for image inpainting based on compactly supported radial basis functions (CSRBF) interpolation. The algorithm converts 2D image inpainting problem into implict surface reconstruction problem from 3D points set. Firstly, we construct the implicit surface for approximating the points set which convert from damaged image by using radial basis functions (...
متن کاملConvexity and Solvability for Compactly Supported Radial Basis Functions with Different Shapes
It is known that interpolation with radial basis functions of the same shape can guarantee a non-singular interpolation matrix, whereas little is known when one uses various shapes. In this paper, we prove that a class of compactly supported radial basis functions are convex on a certain region; based on this local convexity and ready local geometrical property of the interpolation points, we c...
متن کاملSoftware Tools for Compactly Supported Radial Basis Functions
In this paper the use of compactly-supported radial basis functions for surface reconstruction is described. To solve the problem of reconstruction or volume data generation specially designed software is employed. Time performance of the algorithm and numerical error estimation of the reconstruction are also investigated. Thanks to the efficient octree algorithm used in this study, the resulti...
متن کاملSparse surface reconstruction with adaptive partition of unity and radial basis functions
A new implicit surface fitting method for surface reconstruction from scattered point data is proposed. The method combines an adaptive partition of unity approximation with least-squares RBF fitting and is capable of generating a high quality surface reconstruction. Given a set of points scattered over a smooth surface, first a sparse set of overlapped local approximations is constructed. The ...
متن کامل