一种基于最优质量保持映射的图像变形技术。

An image morphing technique based on optimal mass preserving mapping.

作者信息

Zhu Lei, Yang Yan, Haker Steven, Tannenbaum Allen

机构信息

Department of Biomedical Engineering and the School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA.

出版信息

IEEE Trans Image Process. 2007 Jun;16(6):1481-95. doi: 10.1109/tip.2007.896637.

DOI:10.1109/tip.2007.896637

PMID:17547128

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3653138/

Abstract

Image morphing, or image interpolation in the time domain, deals with the metamorphosis of one image into another. In this paper, a new class of image morphing algorithms is proposed based on the theory of optimal mass transport. The L(2) mass moving energy functional is modified by adding an intensity penalizing term, in order to reduce the undesired double exposure effect. It is an intensity-based approach and, thus, is parameter free. The optimal warping function is computed using an iterative gradient descent approach. This proposed morphing method is also extended to doubly connected domains using a harmonic parameterization technique, along with finite-element methods.

摘要

图像变形，即时域中的图像插值，处理的是一幅图像到另一幅图像的变形。本文基于最优质量传输理论提出了一类新的图像变形算法。通过添加一个强度惩罚项来修改L(2)质量移动能量泛函，以减少不期望的双重曝光效应。这是一种基于强度的方法，因此无需参数。使用迭代梯度下降法计算最优变形函数。所提出的变形方法还利用调和参数化技术以及有限元方法扩展到了双连通域。

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