Shape Preserving Cubic Interpolation with Nearly Arc-Length Parameterization
Jian‐Ding Qiu
Abstract
Jian‐Ding Qiu
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.
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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