Model-View-Presenter
In MVP, the Presenter contains the UI business logic for the View. All invocations from the View delegate directly to the Presenter. The Presenter is also decoupled directly from the View and talks to it through an interface. This is to allow mocking of the View in a unit test. One common attribute of MVP is that there has to be a lot of two-way dispatching. For example, when someone clicks the "Save" button, the event handler delegates to the Presenter's "OnSave" method. Once the save is completed, the Presenter will then call back the View through its interface so that the View can display that the save has completed.
MVP tends to be a very natural pattern for achieving separated presentation in WebForms. The reason is that the View is always created first by the ASP.NET runtime. You can find out more about both variants.
Two primary variations
Passive View: The View is as dumb as possible and contains almost zero logic. A Presenter is a middle man that talks to the View and the Model. The View and Model are completely shielded from one another. The Model may raise events, but the Presenter subscribes to them for updating the View. In Passive View there is no direct data binding, instead, the View exposes setter properties that the Presenter uses to set the data. All state is managed in the Presenter and not the View.
- Pro: maximum testability surface; clean separation of the View and Model
- Con: more work (for example all the setter properties) as you are doing all the data binding yourself.
Supervising Controller: The Presenter handles user gestures. The View binds to the Model directly through data binding. In this case, it's the Presenter's job to pass off the Model to the View so that it can bind to it. The Presenter will also contain logic for gestures like pressing a button, navigation, etc.
- Pro: by leveraging data binding the amount of code is reduced.
- Con: there's a less testable surface (because of data binding), and there's less encapsulation in the View since it talks directly to the Model.
Model-View-Controller
In the MVC, the Controller is responsible for determining which View to display in response to any action including when the application loads. This differs from MVP where actions route through the View to the Presenter. In MVC, every action in the View correlates with a call to a Controller along with an action. In the web, each action involves a call to a URL on the other side of which there is a Controller who responds. Once that Controller has completed its processing, it will return the correct View. The sequence continues in that manner throughout the life of the application:
Action in the View
-> Call to Controller
-> Controller Logic
-> Controller returns the View.
One other big difference about MVC is that the View does not directly bind to the Model. The view simply renders and is completely stateless. In implementations of MVC, the View usually will not have any logic in the code behind. This is contrary to MVP where it is absolutely necessary because, if the View does not delegate to the Presenter, it will never get called.
Presentation Model
One other pattern to look at is the Presentation Model pattern. In this pattern, there is no Presenter. Instead, the View binds directly to a Presentation Model. The Presentation Model is a Model crafted specifically for the View. This means this Model can expose properties that one would never put on a domain model as it would be a violation of separation-of-concerns. In this case, the Presentation Model binds to the domain model and may subscribe to events coming from that Model. The View then subscribes to events coming from the Presentation Model and updates itself accordingly. The Presentation Model can expose commands which the view uses for invoking actions. The advantage of this approach is that you can essentially remove the code-behind altogether as the PM completely encapsulates all of the behavior for the view. This pattern is a very strong candidate for use in WPF applications and is also called Model-View-ViewModel.
There is a MSDN article about the Presentation Model and a section in the Composite Application Guidance for WPF (former Prism) about Separated Presentation Patterns
I create what I call a "ViewModel" for each view. I put them in a folder called ViewModels in my MVC Web project. I name them after the controller and action (or view) they represent. So if I need to pass data to the SignUp view on the Membership controller I create a MembershipSignUpViewModel.cs class and put it in the ViewModels folder.
Then I add the necessary properties and methods to facilitate the transfer of data from the controller to the view. I use the Automapper to get from my ViewModel to the Domain Model and back again if necessary.
This also works well for composite ViewModels that contain properties that are of the type of other ViewModels. For instance if you have 5 widgets on the index page in the membership controller, and you created a ViewModel for each partial view - how do you pass the data from the Index action to the partials? You add a property to the MembershipIndexViewModel of type MyPartialViewModel and when rendering the partial you would pass in Model.MyPartialViewModel.
Doing it this way allows you to adjust the partial ViewModel properties without having to change the Index view at all. It still just passes in Model.MyPartialViewModel so there is less of a chance that you will have to go through the whole chain of partials to fix something when all you're doing is adding a property to the partial ViewModel.
I will also add the namespace "MyProject.Web.ViewModels" to the web.config so as to allow me to reference them in any view without ever adding an explicit import statement on each view. Just makes it a little cleaner.
Best Answer
See this example of the really clean technique: http://www.lostechies.com/blogs/jimmy_bogard/archive/2009/06/29/how-we-do-mvc-view-models.aspx
Alternatively you can do it manually: see "ASP.NET MVC In Action" book or CodeCampServer sources for examples. Basically you inject IViewModelMapper { public ViewModel Map(data); } to the controller. The neat thing is that it makes your IoC automatically pass services and repositories to your ViewModel mapper. However this can really make controllers be bloated with mapper interfaces so something like Jimmy Bogard's technique, even without AutoMapper, but with action filters than do pick IViewModelMapper, would be better.
If you can't do this, then I'd suggest stick with ViewModel handling mapping as Mathias suggested.
UPDATE: here's an example of automapper-like configuration with bits of CodeCampServer way. Not sure if it will work as is (or useful at all), just a demonstration.