Dynamic Programming Based Segmentation in Biomedical ImagingDynamic Programming , DP a mathematical, algorithmic optimization method of recursively nesting overlapping sub problems of optimal substructure inside larger decision problems. The term DP was coined by Richard E. Bellman in the 50s not as programming in the sense of producing computer code, but mathematical programming, planning or optimization similar to linear programming , devoted to the study of multistage processes. These processes are composed of sequences of operations in which the outcome of those preceding may be used to guide the course of future ones . Another approach of dynamic programming in computer chess or computer games is the application of retrograde analysis , to solve a problem by solving subproblems in bottom-up manner starting from terminal nodes .
19. Dynamic Programming I: Fibonacci, Shortest Paths
Dynamic Programming: Models and Applications
Many applications in biomedical imaging have a demand on automatic detection of lines, contours, or boundaries of bones, organs, vessels, and cells. Aim is to support expert decisions in interactive applications or to include it as part of a processing pipeline for automatic image analysis. Biomedical images often suffer from noisy data and fuzzy edges. Therefore, there is a need for robust methods for contour and line detection. Dynamic programming is a popular technique that satisfies these requirements in many ways. This work gives a brief overview over approaches and applications that utilize dynamic programming to solve problems in the challenging field of biomedical imaging. In computer vision, Amini et al.
Multiobjective dynamic programming deals with multi-period decision processes. There are two main approaches to multi- objective dynamic problems: vector approach and scalarization approach. Vector dynamic approach was first developed by Brown and Strauch The aim of solving vector dynamic programming problem is to find a set of efficient solutions and Pareto-optimal vectors in the criterion space Klotzler In scalarization approach dynamic problem may be transformed into a corresponding single objective dynamic programming problem.
A mathematical model was formulated for a multi-product problem using Dynamic Programming approach. The model was solved using the solution procedure.
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