We present a method for estimating functions on topologically and/or geometrically complex surfaces from possibly noisy observations. Our approach is an extension of spline smoothing, using a Þnite element method. The paper has a substantial tutorial component: we start by reviewing smoothness measures for functions deÞned on surfaces, simplicial surfaces and differentiable structures on such s...

Wepropose the generalized profilingmethod to estimate themultiple regression functions in the framework of penalized spline smoothing, where the regression functions and the smoothing parameter are estimated in two nested levels of optimization. The corresponding gradients and Hessian matrices are worked out analytically, using the Implicit Function Theorem if necessary, which leads to fast and...

In this paper we have implemented an improved superimposed artificial text detection and inpainting method. Two stage frame works to remove unwanted text from images: Detection of text from image and removal of text using method of inpainting. Smoothing is used to bring more efficiency and reduction of noise and unwanted connected components at the first. With the use of feature extraction, str...

AbstractThis paper investigates a novel technique for extraction of the nose-tip from three-dimensional face image in any pose, which is needed for nose-tip based face registration. The present technique uses weighted median filter for smoothing. No normalization process is applied and the system correctly detects nose-tips across any pose variations. In our system, at first the range images ar...