This paper discusses the inverse problem of the watershed. From a partition obtained by the watershed from markers, find the minimal set of markers that reproduces the same watershed partition. We present a solution based on the minimum spanning tree and introduce the concept of marker receptive region. We also review the watershed transform based on the minimum spanning forest problem. Two app...

This paper is devoted to the study of watershed algorithms behavior. Through the introduction of a concept of pass value, we show that most classical watershed algorithms do not allow the retrieval of some important topological features of the image (in particular, saddle points are not correctly computed). An important consequence of this result is that it is not possible to compute sound meas...

/ Watershed-based planning has been held as a vanguard for integrated ecosystem management based on a collaborative process. Watershed managers, however, must contend with conflicts that run much deeper than interests for economic development versus sustaining ecosystem health. With data from a survey of members of watershed organizations, we characterize the valued-based conflicts that watersh...

Watershed nutrient management is essential in minimizing the eutrophication rate of reservoirs. A shortcoming in nutrient management of watershed-reservoir systems has been the lack of successful linking of watershed and water body models to evaluate impact of watershed management options on reservoir water quality. The objectives of this research were to 1) calibrate and validate a Soil and Wa...

In this paper, we investigate the links between the flooding paradigm and the topological watershed. Guided by the analysis of a classical flooding algorithm, we introduce several notions that help us to understand the watershed: minima extension, extension map, and pass values. We investigate the possibility for a flooding to produce a topological watershed, and conclude that this is not feasi...