How can I learn the basics of Java imaging?

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The following links lead to tutorials and sample code for dealing with image manipulation using the standard classes in the java.awt hierarchy and the Java Advanced Imaging (JAI) API (which is a non-core library for image editing and processing provided by Sun).

Developing Imaging Applications Using the Java2D[tm], JAI and New ImageIO APIs — by C. K. Prasad, compares the different APIs and how basic operations are done with them.
~~Understanding the AWT Image Types - by Jeff Kesselman, puts emphasis on types new to Java 1.4.~~ Gone. The Wayback Machine has a copy.
Sun 2D Graphics tutorial - part of Sun's Java tutorial
Java2D: An Introduction and Tutorial
~~Small program examples for Java2D and printing.~~ Linda Radecke has stopped posting in comp.lang.java.gui and maintaining her Jalice website. The Wayback Machine has cached an older version.
Sun Java Advanced Imaging tutorial.
Overview of articles and books on the topic. I get 403 - Forbidden when trying to access the page. Wayback Machine copy.
Various JAI-related code examples by Rafael Santos.

If you're willing to spend some money on a book, some have been published recently that deal with image manipulation and processing with Java. The emphasis differs: sometimes image processing is explained in general with Java code examples, sometimes Java2D and JAI are explained. Visit online bookstores and search for keywords like Java, image processing or graphics to get some titles. I haven't read any of those books so I cannot recommend one. Check out the reader comments.

A lot of image processing information is available online, from basic tutorials to very specialized scientific articles (use CiteSeer to search for those articles).