图像插值的一种公理方法

Computer analysis of images and patterns : proceedings of the ... International Conference on Automatic Image Processing. International Conference on Automatic Image Processing Pub Date : 1997-10-26 DOI:10.1109/ICIP.1997.632125

V. Caselles, J. Morel, Catalina Sbert

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引用次数: 388

摘要

我们讨论了在平面上的一组曲线和/或点中给出插值数据的可能算法。我们提出了一组基本假设来满足插值算法，从而导致一组可能退化的椭圆型偏微分方程的模型。对绝对极小Lipschitz扩展模型(AMLE)进行了详细的研究。我们展示了一种可能的应用，即恢复动态范围较差的图像。

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An axiomatic approach to image interpolation

We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range.

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Computer analysis of images and patterns : proceedings of the ... International Conference on Automatic Image Processing. International Conference on Automatic Image Processing

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