Kernel Methods for Implicit Surface Modeling
نویسندگان
چکیده
We describe methods for computing an implicit model of a hypersurface that is given only by a finite sampling. The methods work by mapping the sample points into a reproducing kernel Hilbert space and then determining regions in terms of hyperplanes.
منابع مشابه
Analytical methods for polynomial weighted convolution surfaces with various kernels
Convolution surface has the advantage of being crease-free and bulge-free over other kinds of implicit surfaces. Among the various types of skeletal elements, line segments can be considered one of the most fundamental as they can approximate curve skeletons. This paper presents analytical solutions for convolving line segments with varying kernels modulated by polynomial weighted functions. We...
متن کاملSimultaneous Implicit Surface Reconstruction and Meshing
We investigate an implicit method to compute a piecewise linear representation of a surface from a set of sample points. As implicit surface functions we use the weighted sum of piecewise linear kernel functions. For such a function we can partition Rd in such a way that these functions are linear on the subsets of the partition. For each subset in the partition we can then compute the zero lev...
متن کاملFeature Preserving Point Set Surfaces based on Non-Linear Kernel regression
1. Briefly summarize the paper's contributions. Does it address a new problem? Does it present a new approach? Does it show new types of results? [AS] This paper presents a new point set surface representation by combining implicit moving least squares (IMLS) with robust statistics. In particular, they explicitly derive IMLS in the local kernel regression (LKR) framework, forming the basis of...
متن کاملImplicit Snakes: Active Constrained Implicit Models
Extended Abstract: We are exploring new techniques for active contour models (popularly known as “snakes”[1]) by combining active segmentation models with the constrained implicit surface model introduced by Savchenko, et al.[4] and reintroduced under the name of variational implicit surfaces as a modeling and shape morphing tool by Turk and O’Brien[5]. In related work, we pursued more efficien...
متن کاملWarpCurves: A tool for explicit manipulation of implicit surfaces
We introduce WarpCurves, a technique for interactively manipulating an implicit surface using curve-based spatial deformations. Although implicit surfaces have several advantages in 3D modeling, current workflows are limited by the compositional nature of implicit modeling. Wide classes of surface features that are easy to create with the direct manipulation tools available for explicit surface...
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:
دوره شماره
صفحات -
تاریخ انتشار 2004