English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We proposed an algorithm for solving Hamilton-Jacobi equation associated toan optimal trajectory problem for a vehicle moving inside the pre-specifieddomain with the speed depending upon the direction of the motion and currentposition of the vehicle. The dynamics of the vehicle is defined by an ordinarydifferential equation, the right hand of which is given by product of control(atime dependent fuction) and a function dependent on trajectory and control. Atsome unspecified terminal time, the vehicle reaches the boundary of thepre-specified domain and incurs a terminal cost. We also associate thetraveling cost with a type of integral to the trajectory followed by vehicle.We are interested in a numerical method for finding a trajectory that minimizesthe sum of the traveling cost and terminal cost. We developed an algorithmsolving the value function for general trajectory optimization problem. Ouralgorithm is closely related to the Tsitsiklis's Fast Marching Method and J. A.Sethian's OUM and SLF-LLL[1-4] and is a generalization of them. On the basis ofthese results, We applied our algorithm to the image processing such asfingerprint verification.

On Constructing the Value Function for Optimal Trajectory Problem and its Application to Image Processing