This paper derives the PIA property of triangular Bézier surfaces with the uniform parameters, that is, given some scattered data points to form an initial ...
The main work of this article is that we extend the PIA property of the univariate NTP basis to the bivariate Bernstein basis over a triangle domain. The basic ...
Jul 10, 2021 · Progressive-iterative approximation (abbr. PIA) is an important and intuitive method for fitting and interpolating scattered data points.
This paper presents a local progressive-iterative approximation (abbr. LPIA) format, which allows only a chosen subset of the initial control points to adjust.
We extend this property to the bivariate Bernstein basis over a triangle domain for constructing triangular Bézier surfaces, and prove that this good property ...
Local Progressive Iterative Approximation for Triangular Bézier ...
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In this paper, a local PIA format for triangular Bézier surface and rational triangular Bézier surface is designed, which adjusts control points of even ...
Abstract. In this paper, a local PIA format for triangular Bézier surface and rational triangular. Bézier surface is designed, which adjusts control points ...
Preconditioned progressive iterative approximation for triangular ...
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An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces · Mathematics. Applied Mathematics and Computation · 2013.
The improved least square progressive iteration approximation format is proposed for triangular B-B surfaces. And the iterative surface sequence converges to ...
Progressive-iterative approximation method is an iterative method of data fitting with geometric meanings.