Journal Article10.1016/J.AMC.2010.03.034
Positive data modeling using spline function
58
TL;DR: This work extends a rational bi-cubic partially blended functions (Coons-patches) and derived constraints on parameters to visualize the shape of positive surface data and the developed scheme is locally positive and economical.
read more
About: This article is published in Applied Mathematics and Computation. The article was published on 01 Jun 2010. The article focuses on the topics: Monotone cubic interpolation & Smoothing spline.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Shape-preserving curve interpolation
TL;DR: A piecewise rational function in a cubic/cubic form is proposed, which, in each interval, involves four free parameters in its construction that are constrained to preserve the shape of convex, monotone and positive data.
Shape preserving rational cubic spline for positive and convex data
TL;DR: The shapes of the positive and convex data are under discussion of the proposed spline solutions of the C 2 rational cubic spline.
32
Positivity-preserving C2 rational cubic spline interpolation
TL;DR: In this paper, a piecewise rational function in cubic/quadratic form involving three shape parameters is presented to preserve the inherited shape feature (positivity) of data and the remaining two shape parameters are left free for the designer to modify the shape of positive curves as per industrial needs.
A new class of rational cubic spline fractal interpolation function and its constrained aspects
TL;DR: This paper constructs a new class of rational cubic spline FIFs (RCSFIFs) with a preassigned quadratic denominator with two shape parameters, which includes classical rational cubic interpolant [Appl. Comp., 216 (2010), pp. 2036–2049] as special case and improves the sufficient conditions for positivity.
26
Temporal and Spatial Change Monitoring of Drought Grade Based on ERA5 Analysis Data and BFAST Method in the Belt and Road Area during 1989–2017
TL;DR: In this article, the authors used the ERA5 atmospheric reanalysis data and the self-calibrating Palmer Drought Severity Index to study the temporal and spatial distribution of the 1989-2017 monthly scale of drought in different climate regions of the Belt and Road region.
References
Positivity of cubic polynomials on intervals and positive spline interpolation
Jochen W. Schmidt,Walter Heb +1 more
TL;DR: In this paper, a criterion for the positivity of a cubic polynomial on a given interval is derived, and a necessary and sufficient condition is given under which cubicC 1-spline interpolants are nonnegative.
171
Preserving positivity using piecewise cubic interpolation
Sohail Butt,Ken Brodlie +1 more
TL;DR: A simple algorithm for generating a C 1 piecewise cubic Hermite interpolant that preserves positivity is given, which is local in nature, and unlike other algorithms does not require modification of the slope data.
123
Preserving convexity using piecewise cubic interpolation
Ken Brodlie,Sohail Butt +1 more
TL;DR: This paper shows that by allowing (if necessary) two cubic pieces in some data intervals rather than one, convexity can always be preserved.
95
Positivity-preserving interpolation of positive data by rational cubics
TL;DR: In this paper, a C^1 piecewise rational cubic function is used to visualize the positive data in the form of positive curves and surfaces, and sufficient conditions are developed on the free parameters in the description of the rational function to visualize positive data.
89