An Image Morphing Technique Based on Optimal Mass Preserving Mapping

©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.DOI: 10.1109/TIP.2007.896637Image 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 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

Helicity hardens the gas

A screw generally works better than a nail, or a complicated rope knot better than a simple one, in fastening solid matter, but a gas is more tameless. However, a flow itself has a physical quantity, helicity, measuring the screwing strength of the velocity field and the degree of the knottedness of the vorticity ropes. It is shown that helicity favors the partition of energy to the vortical modes, compared to others such as the dilatation and pressure modes of turbulence; that is, helicity stiffens the flow, with nontrivial implications for aerodynamics, such as aeroacoustics, and conducting fluids, among others

Shifting Patterns of BMI and Skinfold Fatness among US Children: 1985/87 vs. 2012

Background: Childhood obesity has been recognized as a major public health concern. The purpose of this study was to determine specific shifting patterns of BMI and skinfold fatness across different age and sex groups between 1985/87 and 2012. Methods: The data of 9,366 children aged 8-15 years from two nationally representative surveys, i.e., 1985/87 National Children and Youth Fitness Study I & II and 2012 National Health and Nutrition Examination Survey National Youth Fitness Survey, were analyzed. Specifically, changes of BMI-based obesity prevalence and shifting patterns of BMI, height, weight, skinfold body fat percentage (skinfold-fat%), subscapular skinfold, and triceps skinfold from 1985/87 to 2012 were estimated by age and sex using the 1985/87 quartiles as the baseline. Results: Significantly increased obesity prevalence were reconfirmed for both boys (12.12%, P <.001) and girls (3.53%, P <.001) from 1985/87 to 2012. Except for height, all other measures in 2012 experienced an unbalanced shifting pattern, mainly from other quartiles into the 4th quartile of 1985/87. Conclusion: The shifting of both boys’ and girls’ BMI and skinfold-fat% were all concentrated in the 4th quartile of 1985/87, indicating not only that there was a significant increase in BMI and skinfold-fat% in the U.S. children from 1985/87 to 2012, but also into the overweight and obese subgroups, which serves as a serious warning for childhood obesity epidemic and public health