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An Image Morphing Technique Based on Optimal Mass Preserving Mapping

TLDR
A new class of image morphing algorithms is proposed based on the theory of optimal mass transport, which is an intensity-based approach and, thus, is parameter free.
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 L2 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

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References
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Journal ArticleDOI

The Earth Mover's Distance as a Metric for Image Retrieval

TL;DR: This paper investigates the properties of a metric between two distributions, the Earth Mover's Distance (EMD), for content-based image retrieval, and compares the retrieval performance of the EMD with that of other distances.
Journal ArticleDOI

Alignment by Maximization of Mutual Information

TL;DR: A new information-theoretic approach is presented for finding the pose of an object in an image that works well in domains where edge or gradient-magnitude based methods have difficulty, yet it is more robust than traditional correlation.
Journal ArticleDOI

Polar Factorization and Monotone Rearrangement of Vector-Valued Functions

TL;DR: In this paper, it was shown that for every vector-valued function u Lp(X, p; Rd) there is a unique polar factorization u = V$.s, where $ is a convex function defined on R and s is a measure-preserving mapping from (x, p) into (Q, I. I), provided that u is nondegenerate.
Book

Introduction to applied mathematics

TL;DR: In this article, the authors introduce the concept of applied mathematics and apply it to applied mathematics problems in the context of applied applications. [2]... ].. [3]
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