With the advent of 3D scanner, accurate segmentation of 3D fruit shape from unorganized point clouds has been turned out to be the most challenging task in scientists and engineers in reverse engineering. This paper herein proposes efficient and robust approach to extract pear shape from background. At first, an interactive, non-local denoising algorithm is employed to efficient denoise the pea...

Using geometric engineering method of 4D N = 2 quiver gauge theories and results on the classification of Kac-Moody (KM) algebras, we show on explicit examples that there exist three sectors of N = 2 infrared CFT4s. Since the geometric engineering of these CFT4s involve type II strings on K3 fibered CY3 singularities, we conjecture the existence of three kinds of singular complex surfaces conta...

In this paper, an integral equation for the kth moment function of a geometric process is derived as generalization lower-order moments process. We propose general solution to solve by using numerical method, namely trapezoidal integration rule. The reduced equations which will be given third and fourth functions compute skewness kurtosis To illustrate we assume gamma, Weibull lognormal distrib...

We apply three generations of geometrically convergent adaptive Monte Carlo algorithms to solve a model transport problem with severe heterogeneities in energy. In the first generation algorithms an arbitrarily precise solution of the transport equation is sought pointwise. In the second generation algorithms the solution is represented more economically as a vector of regionwise averages over ...

We make three main contributions to autocalibration under pure rotation and zooming, with particular focus on PTZ cameras. First, for the general camera rotation, we provide a novel solution that yields five intrinsic parameters from only two images, by directly decomposing the infinite homography using a series of Givens rotations. Second, we present thorough analysis of degenerate cases of pu...

This chapter describes the state-of-the-art techniques for constructing photo-realistic three dimensional models of physical objects using range and intensity images. In general, construction of such models entails four steps: First, a range sensor must be used to acquire the geometric shape of the exterior of the object. Objects of complex shape may require a large number of range images viewe...

This paper introduces a theoretic result that shows any surface in 3 dimensional Euclidean space can be determined by its conformal factor and mean curvature uniquely up to rigid motions. This theorem disproves the common belief that surfaces have three functional freedoms and immediately shows that one third of geometric data can be saved without loss of information. The paper develops a pract...

The investigation addresses three main issues: The first concerns a study of the terrain relief classification for the purpose of composite sampling. The second issue concerns quality assessment models that are used to assess the quality of representa~ion pf ideal geometric primitives and of real terrain relief representation. The third issue concerns the performance of composite sampling when ...

Depth scans acquired from different views may contain nuisances such as noise, occlusion, and varying point density. We propose a novel Signature of Geometric Centroids descriptor, supporting direct shape matching on the scans, without requiring any preprocessing such as scan denoising or converting into a mesh. First, we construct the descriptor by voxelizing the local shape within a uniquely ...

Comparative evaluations of information retrieval systems are based on a number of key premises, including that representative topic sets can be created, that suitable relevance judgements can be generated, and that systems can be sensibly compared based on their aggregate performance over the selected topic set. This paper considers the role of the third of these assumptions – that the performa...