confusion regarding quartz2d, core graphics, core animation, core images

Core Animation is a technology that relies a lot more on OpenGL, which means its GPU-bound.

Core Graphics on the other hand uses the CPU for rendering. It's a lot more precise (pixel-wise) than Core Animation, but will use your CPU.

Quartz and Core Graphics are effectively synonymous. I tend to avoid using "Quartz" because the term is very prone to confusion (indeed, the framework that includes Core Animation is "QuartzCore," confusing matters further).

I would say:

• Learn Core Graphics (CoreGraphics.framework) if you need high performance vector drawing (lines, rectangles, circles, text, etc.), perhaps intermingled with bitmap/raster graphics with simple modifications (e.g. scaling, rotation, borders, etc.). Core Graphics is not particularly well suited for more advanced bitmap operations (e.g. color correction). It can do a lot in the way of bitmap/raster operations, but it's not always obvious or straightforward. In short, Core Graphics is best for "Illustrator/Freehand/OmniGraffle" type uses.

• Learn Core Animation (inside QuartzCore.framework) if, well, you need to animate content. Basic animations (such as moving a view around the screen) can be accomplished entirely without Core Animation, using basic UIView functionality, but if you want to do fancier animation, Core Animation is your friend. Somewhat unintuitively, Core Animation is also home to the CALayer family of classes, which in addition to being animatable allow you to do some more interesting things, like quick (albeit poorly performing) view shadows and 3D transforms (giving you what might be thought of as "poor man's OpenGL"). But it's mainly used for animating content (or content properties, such as color and opacity).

• Learn Core Image (inside QuartzCore.framework) if you need high performance, pixel-accurate image processing. This could be everything from color correction to lens flares to blurs and anything in between. Apple publishes a filter reference that enumerates the various pre-built Core Image filters that are available. You can also write your own, though this isn't necessarily for the faint of heart. In short, if you need to implement something like "[pick your favorite photo editor] filters" then Core Image is your go-to.

Does that clarify matters?