Inversion of Control (IoC) can be quite confusing when it is first encountered.
Inversion of Control is a generic principle, while Dependency Injection realises this principle as a design pattern for object graph construction (i.e. configuration controls how the objects are referencing each other, rather than the object itself controlling how to get the reference to another object).
Looking at Inversion of Control as a design pattern, we need to look at what we are inverting. Dependency Injection inverts control of constructing a graph of objects. If told in layman's term, inversion of control implies change in flow of control in the program. Eg. In traditional standalone app, we have main method, from where the control gets passed to other third party libraries(in case, we have used third party library's function), but through inversion of control control gets transferred from third party library code to our code, as we are taking the service of third party library. But there are other aspects that need to be inverted within a program - e.g. invocation of methods and threads to execute the code.
For those interested in more depth on Inversion of Control a paper has been published outlining a more complete picture of Inversion of Control as a design pattern (OfficeFloor: using office patterns to improve software design http://doi.acm.org/10.1145/2739011.2739013 with a free copy available to download from http://www.officefloor.net/about.html).
What is identified is the following relationship:
Inversion of Control (for methods) = Dependency (state) Injection + Continuation Injection + Thread Injection
Summary of above relationship for Inversion of Control available - http://dzone.com/articles/inversion-of-coupling-control