Constrained Visualization of 2D Positive Data using Modified Quadratic Shepard Method
نویسندگان
چکیده
This paper is about the visualization of positive data subject to positivity constraint. It presents an algorithm that produces a non-negative graph through scattered positive data sets using Modified Quadratic Shepard method. The objective of positivity has been achieved by scaling of basis functions as far as it is necessary. This method is improved in that it produces the positive graph without much deviation of shapes from the ones due to Modified Quadratic Shepard scheme. The method is developed and implemented as a global scheme.
منابع مشابه
Constrained Visualization Using the Shepard Interpolation Family
This paper discusses the problem of visualizing data where there are underlying constraints that must be preserved. For example, we may know that the data are inherently positive. We show how the Modified Quadratic Shepard method, which interpolates scattered data of any dimensionality, can be constrained to preserve positivity. We do this by forcing the quadratic basis functions to be positive...
متن کاملConstrained Shepard Method for Modeling and Visualization of Scattered Data
The problem of modeling and visualization of scattered data where there are inherent constraints on value of the data exists in many scientific and business research areas. For example, the value of mass concentration always has the lower bound of 0 and upper bound of 1. The modeling functions having gradient continuity usually do not guarantee to preserve the bounds of data. In this paper we p...
متن کاملVisualization of Surface Data Using Rational Bicubic Spline
Scientific visualization is concerned with the presentation of interactive or animated digital images to users to understand data. The advantages of scientific visualization are: huge amount of data is converted into one picture, it correlates different quantities. One of the problems faced by scientific visualization community is visualization of positive data. Visualization of positive data i...
متن کاملAlgorithm XXX: SHEPPACK: Modified Shepard Algorithm for Interpolation of Scattered Multivariate Data
Scattered data interpolation problems arise in many applications. Shepard’s method for constructing a global interpolant by blending local interpolants using local-support weight functions usually creates reasonable approximations. SHEPPACK is a Fortran 95 package containing five versions of the modified Shepard algorithm: quadratic (Fortran 95 translations of Algorithms 660, 661, and 798), cub...
متن کاملA modified alternating direction method for convex quadratically constrained quadratic semidefinite programs
We propose a modified alternate direction method for solving convex quadratically constrained quadratic semidefinite optimization problems. The method is a first-order method, therefore requires much less computational effort per iteration than the second-order approaches such as the interior point methods or the smoothing Newton methods. In fact, only a single inexact metric projection onto th...
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