Multigrid Analysis of Curvature Estimators
نویسندگان
چکیده
This article explains a new method for the estimation of curvature of plane curves and compares it with a method which has been presented in [2]. Both methods are based on global approximations of tangents by digital straight line segments. Experimental studies show that a replacement of global by local approximation results in errors which, in contrast to the global approximation, converge to constants > 0. We also apply the new global method for curvature estimation of curves to surface curvature estimation, and discuss a method for estimating mean curvature of surfaces which is based on Meusnier’s theorem.
منابع مشابه
Parameter-Free and Multigrid Convergent Digital Curvature Estimators
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field is an essential step. Focusing on multigrid convergent estimators, most of them require a user specified parameter to define the scale at which the analysis is performed (size of a convolution kernel, size of local patches for polynomial fitting, etc). In a prev...
متن کاملGlobal Curvature Estimation for Corner Detection
The paper starts with presenting three curvature estimators which follow definitions (approaches) in differential geometry. Digital-straight segment (DSS) approximation is used in those estimators, we point to problems caused by this approach, and propose simple ways for eliminating those problems. The paper then informs about multigrid analysis experiments, where all estimators appear to be mu...
متن کاملMultigrid convergent principal curvature estimators in digital geometry
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field is an essential step. In this paper, we investigate a new class of estimators on digital shape boundaries based on Integral Invariants. More precisely, we provide both proofs of multigrid convergence of principal curvature estimators and a complete experimental ...
متن کاملIntegral Based Curvature Estimators in Digital Geometry
In many geometry processing applications, the estimation of differential geometric quantities such as curvature or normal vector field is an essential step. In this paper, we investigate a new class of estimators on digital shape boundaries based on Integral Invariants. More precisely, we provide both proofs of multigrid convergence of curvature estimators and a complete experimental evaluation...
متن کاملMultigrid convergence of discrete geometric estimators
The analysis of digital shapes require tools to determine accurately their geometric characteristics. Their boundary is by essence discrete and is seen by continuous geometry as a jagged continuous curve, either straight or not derivable. Discrete geometric estimators are specific tools designed to determine geometric information on such curves. We present here global geometric estimators of ar...
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 2003