2001Journal of Computer-Aided Design & Computer GraphicsRequires access

Shape Preserving Cubic Interpolation with Nearly Arc-Length Parameterization

Jian‐Ding Qiu

Open publisher page 0 citations

Abstract

To generate nearly arc-length parameterized curve, some extra data points are often demanded for getting an acceptable precision. This article gives a theoretical criterion for how to select the extra points mentioned above. The presented method can improve effectively the precision of arc-length parameterization to meet the requirements of shape preserving interpolation.

About this research paper

What this paper is about

To generate nearly arc-length parameterized curve, some extra data points are often demanded for getting an acceptable precision. This article gives a theoretical criterion for how to select the extra points mentioned above. The presented method can improve effectively the precision of arc-length parameterization to meet the requirements of shape preserving interpolation.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

To generate nearly arc-length parameterized curve, some extra data points are often demanded for getting an acceptable precision. This article gives a theoretical criterion for how to select the extra points mentioned above. The presented method can improve effectively the precision of arc-length parameterization to meet the requirements of shape preserving interpolation.

Key concepts: Arc length, Interpolation (computer graphics), Parameterized complexity, Arc (geometry), Algorithm, Mathematics, Geometry, Computer science

Related papers

Back to paper searchBrowse research topicsOriginal source
Shape Preserving Cubic Interpolation with Nearly Arc-Length Parameterization — Research Paper | ScholarLens