Anisotropic smoothing of point sets,
نویسندگان
چکیده
The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature ßow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive a shape operator, principal curvature properties of a point set, and an anisotropic Laplacian of the surface. This anisotropic Laplacian reßects curvature properties which can be understood as the point set analogue of Taubins curvature-tensor for polyhedral surfaces. We combine these discrete tools with techniques from geometric diffusion and image processing. Several applications demonstrate the efÞciency and accuracy of our method. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object ModelingCurve, surface, solid and object representationsCurve, surface, solid and object representations. Additional
منابع مشابه
PAIRED ANISOTROPIC DISTRIBUTION FOR IMAGE SELECTIVE SMOOTHING
In this paper, we present a novel approach for image selective smoothing by the evolution of two paired nonlinear partial differential equations. The distribution coefficient in de-noising equation controls the speed of distribution, and is determined by the edge-strength function. In the previous works, the edge-strength function depends on isotropic smoothing of the image...
متن کاملDenoising point sets via L0 minimization
We present an anisotropic point cloud denoising method using L0 minimization. The L0 norm directly measures the sparsity of a solution, and we observe that many common objects can be defined as piece-wise smooth surfaces with a small number of features. Hence, we demonstrate how to apply an L0 optimization directly to point clouds, which produces sparser solutions and sharper surfaces than eith...
متن کاملReconstructing Surfaces Using Anisotropic Basis Functions
Point sets obtained from computer vision techniques are often noisy and non-uniform. We present a new method of surface reconstruction that can handle such data sets using anisotropic basis functions. Our reconstruction algorithm draws upon the work in variational implicit surfaces for constructing smooth and seamless 3D surfaces. Implicit functions are often formulated as a sum of weighted bas...
متن کاملFuzzy Anisotropic Smoothing of Scalar Images
This study suggests a fuzzy anisotropic smoothing technique on scalar (grayscale) images using partial differential equations (PDEs) and fuzzy sets. This technique preserves the image details such as edges while noise is being reduced. The PDE and fuzzy rule based techniques are employed in approximation of smoothing coefficients calculated based on structure and noisiness information. Utilizin...
متن کاملHow to smooth diffusion tensor images in a voxel based analysis?
Introduction: Many DTI studies are starting to use voxel based analysis (VBA) to evaluate differences in the diffusion properties between healthy diseased subjects. Despite the intuitively appealing approach of analyzing diffusion measures at each voxel, VBA results should be interpreted cautiously, since they depend on the applied parameter settings. Since, for example, in the VBA literature o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Computer Aided Geometric Design
دوره 22 شماره
صفحات -
تاریخ انتشار 2005