Research on Intelligent Extension Technology for Curves Based on Trend Extrapolation

Abstract

To solve the defect of being not extended for curves in some CAD software, the trend extrapolation principle was imported and the intelligent extension technology for curves was discussed in this paper. The methods of identifying and choosing the trend extrapolation model are provided. Three mathematical models including polynomial curve extension, Gompertz curve extension and exponential curve extension were built, which can be adopted according to the feature points in curves reasonably. This paper has solved the common and core problems, which can be applied to CAD software upgrade or re-development.

Intelligent Extension-Models for Non-Circular Curves and Their Applications Based on Trend Extrapolation

“…Trend extrapolation is currently used for intelligence research, such as analysis and extrapolation of stock market indexes [2], tobacco consumption trends and their relationship to lung cancer mortality [3], trends in atmosphere, sea ice and ocean [4]. For the sake of the similarities between curve extension and trend extrapolation in intelligence research, we had studied an intelligent extension-technology for non-circular curves under polar coordinates [5], in which the study is rather superficial and less practical. In this article, to solve such common and core…”