In this paper, we introduce a new approach to computing a Morse decomposition of a vector field on a triangulated manifold surface. The basic idea is to convert the input vector field to a piecewise constant (PC) vector field, whose trajectories can be computed using simple geometric rules. To overcome...
In the companion paper (Chen & Yeh, J. Fluid Mech., vol. 749, 2014, pp. 577–596), collisions of counter-propagating solitary waves were studied experimentally by analysing the measured water-surface variations. Here we study the flow fields associated with the collisions. With the resolved velocity data obtained in the laboratory, the flow...
In this paper we introduce hexagonal global parameterizations, a new type of parameterization in which parameter lines respect six-fold rotational symmetries (6-RoSy). Such parameterizations enable the tiling of surfaces with regular hexagonal texture and geometry patterns and can be used to generate high-quality triangular remeshing. To construct a hexagonal parameterization...
This paper introduces a simple yet effective shape analysis mechanism for geometry processing. Unlike traditional shape
analysis techniques which compute descriptors per surface point up to certain neighborhoods, we introduce a shape analysis
framework in which the descriptors are based on pairs of surface points. Such a pairwise analysis approach...
Illusory motions refer to the phenomena in which static images composed of certain colors and patterns lead to the illusion of motions. This paper presents an approach for generating illusory motions on 3D surfaces which can be used for shape illustration as well as artistic visualization of line fields on...
Air-cathode fabrication is currently a key factor that hinders the scaling up of microbial fuel cell (MFC) technology. A new type of cathode material that contains porous polyethylene (PE) sheet and a blended activated carbon (AC) and highly conductive carbon back (CB) layer was developed for the first time. The...
Design of time-varying vector fields, i.e., vector fields that can change over time, has a wide variety of important applications
in computer graphics. Existing vector field design techniques do not address time-varying vector fields. In this paper, we present a
framework for the design of time-varying vector fields, both for...
With increasing computing power, it is possible to process more complex fluid simulations. However, a gap between increasing
data size and our ability to visualize them still remains. Despite the great amount of progress that has been made in the field of
flow visualization over the last two decades, a...
Viruses were defined as one of the two principal types of organisms
in the biosphere, namely, as capsid-encoding organisms in
contrast to ribosome-encoding organisms, i.e., all cellular life
forms. Structurally similar, apparently homologous capsids are
present in a huge variety of icosahedral viruses that infect bacteria,
archaea, and eukaryotes. These...
Viruses and/or virus-like selfish elements are associated with all cellular life forms and are the most abundant biological entities on Earth, with the number of virus particles in many environments exceeding the number of cells by one to two orders of magnitude. The genetic diversity of viruses is commensurately enormous...