Scalar Potential Topography can Simplify Interpretation of 2D Vector Fields

نویسندگان

  • Richard Chasen Spero
  • Russell M. Taylor
چکیده

We demonstrate a new visualization technique to help researchers answer specific questions about 2D vector fields. Rather than directly display the vector field, the visualization isolates the integrable part of the field, integrates it to find a scalar potential, and displays the scalar potential as a height field. Scalar potential representation can be combined with direct field representation, by overlaying a representation of either the original field or its divergence-free part. Representing a vector field by its scalar potential is useful for answering questions about bulk flow across a flow field, and for comparing vector fields. It leverages human intuition about how water flows downhill.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Casimir ‎effects‎‎ of nano objects in fluctuating scalar and electromagnetic fields: Thermodynamic investigating

 Casimir entropy is an important aspect of casimir effect and at the nanoscale is visible. In this paper, we employ the path integral method to ‎obtain a‎ ‎general‎ relation for casimir entropy and ‎i‎nternal energy of arbitrary shaped objects in the presence of two, three and four dimension scalar fields and ‎the‎ electromagnetic field. For this purpose, using Lagrangian and based on a perturb...

متن کامل

Auxiliary Potentials In Chiral Media

In the present paper, the expressions for scalar and vector potentials in lossless isotropic chiral media are analyzed. Propagating eigenvalues of these potentials are then obtained. Furthermore by decomposition of sources and fields in a chiral medium, we introduce the auxiliary right-and left-handed potentials and find the associated fields. These potentials are used to solve the problem of a...

متن کامل

Robustness for 2D Symmetric Tensor Field Topology

Topological feature analysis is a powerful instrument to understand the essential structure of a dataset. For such an instrument to be useful in applications, however, it is important to provide some importance measure for the extracted features that copes with the high feature density and discriminates spurious from important structures. Although such measures have been developed for scalar an...

متن کامل

Extending Scatterplots to Scalar Fields

Embedding high-dimensional data into a 2D canvas is a popular strategy for their visualization. It allows users to appreciate similarity relationships among the data points by their spatial organization on the 2D display. In this work we consider the case where the collection of data points also serves as a scalar field for one of the dataset’s attributes, essentially forming samples of the att...

متن کامل

A Streamline Selection Technique for Integrated Scalar and Vector Visualization

Scalar and vector field visualization techniques have evolved almost independently. We think integration of scalar and vector visualization is still an interesting topic. For example, many researchers in fluid dynamics simulations still use 2D scalar and vector visualization techniques in one display, to demonstrate the coherency between scalar (e.g., temperature and air pressure) and vector (e...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008