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This paper introduces three interpolation methods that enrich complex evolving region trajectories that are captured every day from numerous ground-based and space-based solar observatories. The interpolation module takes a trajectory as its input and generates an enriched trajectory with interpolated time-geometry pairs. we created three different interpolation techniques that are: MBR-Interpolation...
Dynamic time warping (DTW) and derivative dynamic time warping (DDTW) are two robust distance measures for time series, which allows similar shapes to match even if they are out of phase in the time axis. In this paper, we propose a novel dynamic time warping based on cubic spline interpolation (SIDTW) to improve the performance. The derivative of every point of time series is calculated by cubic...
In order to develop a new extending edge method of potential field with reasonable and practical, this paper develops a difference method of extending edge based on the mean value theorem and the maximum value and minimum value theorem. This paper, through designing theoretical model and calculating theoretical data, processes the actual data by difference method of extending edge, analyses the differences...
Curvature attribute interpretation is a new interpretation technology rising in the recent two years. Curvature attributes provide images of structure and stratigraphy that complement those seen by the well accepted coherence algorithms. The article expounds the definition of the curvature, the physical meaning and its shortages in structural interpretation from the most basic mathematical definition...
With the development of mobile technology, Internet and GIS, LBS plays an important role in various applications. As the basis of LBS, the research on acquisition, processing, storage, query of mobile object trajectories has been quite mature, but the analysis and the application of movement patterns contained in mobile object trajectories is relatively lagging behind. The calculation of trajectory...
This paper proposes a method for stroke segmentation to decompose Chinese characters to become individual strokes. The method first obtains the medial axes of any given Chinese character for structural analysis. A fast skeletonization method using Delaunay triangulation is applied to convert the character into triangular mesh. Based on the fundamental rules and formations of Chinese characters, the...
An optimization technique is proposed for the outline capture of planar images. The overall technique has various phases including extracting outlines of images, detecting corner points from the detected outline, and curve fitting. The idea of multilevel coordinate search has been used to optimize the shape parameters in the description of the generalized conic spline introduced. The spline method...
The shape parameter is proved to have great influence on radial basis function (RBF) interpolation. Its impacts on multiquadric (MQ) RBF are studied in this paper. Observation suggests that a large shape parameter improves the accuracy of the approximation of high nonlinear problems, but may lead to Runge phenomenon (RP). This paper proposed an algorithm to obtain the shape parameter by minimizing...
In this study, an optimization algorithm is proposed for asymmetric s-shape acceleration/deceleration to achieve better contour accuracy for biaxial systems. The optimization is based on the method of genetic algorithm incorporated with the constraints made by the motion system. Numerical simulations of an XY table driven by linear motors following a simple cornering path verify the proposed algorithm.
In order to realize the partial modification of coons-surface and its subtler optimization, we should subdivide the coons-surface with appointed data. So, an algorithm of subdividing a coons-surface was presented by authors. First we calculate the boundary conditions of sub division surfaces based on the algorithm for C2 Hermite interpolation and the designated data points. Then we reconstruct these...
Shape blending is of great theoretical and practical significance in industrial design, engineering simulation, etc. An approach to 3D shape blending using point cloud slicing is proposed in this article. It can be used in industrial design as an aid to design creativity. After the uniform slicing of each point cloud model, an improved ray-firing method is adopted to establish the correspondence between...
Nonuniform combined subdivision scheme(NCSS) is presented to enhance the interpolation function on curve networks. Nonuniform second difference operator and nonuniform correction operator are proposed separately based on second difference operator and the correction algorithm in order to generate more fairing interpolating surfaces. The improvement of operator Q is help to implement the interpolation...
In many problems about stationary or time-variant physical fields of 2D plane or 3D space, application of Lagrange's interpolation is very difficult. Because the purpose of interpolation is to predict function value of unknown points according to that of known and limited points, a new method of polynomial interpolation named as weighted average method is suggested and linear equations about weights...
When rule base is sparse, we cannot get any reasoning result by traditional fuzzy reasoning method for an observation is in the gap between two neighboring antecedences. Fuzzy reasoning is really equal to an interpolation. For reasoning only considers two neighbor- ring rules, classical KH linear interpolative reasoning method is partial and its consequence does not always keep convexity and normality...
Image matching is a critical step during the process of object 3D reconstruction on the basis of studying image blending process, this essay, regarding the 2 pre-matching images as start and end images respectively of one object, employs total least warp work between the two images as the matching feature, and modifies the process of vertexs corresponding. This essay raises the matching algorithm...
A new model of bivariate bases on triangular patches is proposed by applying the univariate bases proposed by Dejdumrong. In this paper, some geometric properties and its efficient recursive formulae are provided. Its fast recursive evaluation algorithm is also obtained in terms of a quadratic time complexity. Thus, it is shown that this type of surfaces is obviously more efficient than the traditional...
In this article, we proposed a non-linear interpolatory scheme based on an approximating scheme. A key step in our subdivision scheme is that we introduce a tangent polygon of the given initial polygon, then we obtain an interpolation scheme by applying corner cutting with poly-line to this tangent polygon. Numerical examples show that our approach combines the advantages of approximating subdivision...
A class of quasi-Hermite base function is established in space Gamma = {1, t, sin t, cos t, cos 2t}. The corresponding quasi-Hermite curves with a shape parameter alpha are defined by the introduced base function. The curves can easily be adjusted by using the shape parameter alpha. With the parameter chosen properly, the defined curves can precisely be used to represent straight line segment, circular...
It's very hard to guarantee high image quality whenconverting standard-definition television (SDTV) images tohigh-definition television (HDTV) images because of the greatdifference of image resolution between them. Moreover, thechange in pixel shape from rectangular to square makes thetraditional image zooming methods impossible to do theconversion. Based on this reason, we propose an ImprovedBilinear...
Wells and drainage holes are widely used in hydraulic engineering and groundwater exploration, such as foundation pit drainage, dam body and foundation drainage, groundwater exploitation and so on. Now the finite element method (FEM) is usually used to analyze the seepage flow in engineering. Based on the FEM, the mid-section method and the equivalent nodal method are usually used to calculate the...
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