Geodesics on Point Clouds
نویسندگان
چکیده
منابع مشابه
Distance Functions and Geodesics on Point Clouds
An new paradigm for computing intrinsic distance functions and geodesics on sub-manifolds of given by point clouds is introduced in this paper. The basic idea is that, as shown here, intrinsic distance functions and geodesics on general co-dimension sub-manifolds of can be accurately approximated by extrinsic Euclidean ones computed inside a thin offset band surrounding the manifold. This permi...
متن کاملDistance Functions and Geodesics on Points Clouds
An algorithm for computing intrinsic distance functions and geodesics on sub-manifolds of given by point clouds is introduced in this paper. The basic idea is that, as shown in this paper, intrinsic distance functions and geodesics on general co-dimension sub-manifolds of can be accurately approximated by the extrinsic Euclidean ones computed in a thin offset band surrounding the manifold. This...
متن کاملDistance Functions and Geodesics on Submanifolds of R and Point Clouds∗
A theoretical and computational framework for computing intrinsic distance functions and geodesics on submanifolds of Rd given by point clouds is introduced and developed in this paper. The basic idea is that, as shown here, intrinsic distance functions and geodesics on general co-dimension submanifolds of Rd can be accurately approximated by extrinsic Euclidean ones computed inside a thin offs...
متن کاملDistance Functions and Geodesics on Submanifolds of Rd and Point Clouds
A theoretical and computational framework for computing intrinsic distance functions and geodesics on submanifolds of Rd given by point clouds is introduced and developed in this paper. The basic idea is that, as shown here, intrinsic distance functions and geodesics on general co-dimension submanifolds of Rd can be accurately approximated by extrinsic Euclidean ones computed inside a thin offs...
متن کاملApproximating Geodesics on Point Set Surfaces
We present a technique for computing piecewise linear approximations of geodesics on point set surfaces by minimizing an energy function defined for piecewise linear path. The function considers path length, closeness to the surface for the nodes of the piecewise linear path and for the intermediate line segments. Our method is robust with respect to noise and outliers. In order to avoid local ...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2014
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2014/860136