From my tests Photoshop bicubic and PDF bicubic resampling are slightly different. PDF bicubic resampling appears to lead to less moiré/aliasing issues than Photoshop when resizing in one single step from high resolution to lower resolution.
A PrintPlanet discussion here:
http://printplanet.com/forums/adobe/23396-very-high-image-resolution-any-quality-disadvantage
In the following topic at linkedin:
More darn Moire than I can get rid of. | LinkedIn
One can find a link to a photo of a church, here:
https://creative.adobe.com/share/63688799-ea0b-4a49-abb2-b528c7565ad2#!
and here:
TexasChurch | Flickr - Photo Sharing!
farm9.staticflickr.com/8384/8465479592_b445d26791_k.jpg - If one resizes the 2048px wide image in one step to 333px wide, there is moire.
Sometimes adding a minor blur before reduction can also be of help - just as many digital cameras have a low pass filter in front of the sensor to reduce moire. One can blur before reducing size and then smart sharpen after reducing size. If working with a raw image, you may wish to disable sharpening on the version that will be resized smaller.
So adding a 1px Gaussian blur to the 2048px image before resampling down to 333px will result in no moire.
Sometimes resizing to a similar but different size will lessen or remove moire.
There are many ways to reduce or overcome this moire effect, depending on the content of the original and the final size required. One good method is to reduce the image in steps of 50% until you get close to the final required size and then resize to the final size at the last step (too many small steps and the image may be too soft).
The 50% width/height resize results in an area 25% smaller than the original. To get to an area of 50%, use 70.7% for the resize. Resizing to 50% width/height is good for averaging out detail, which can be a blessing and a curse (blessing if the detail is noise, a curse if the detail is important). Sometimes using a value of say 66.6% is close enough to 50% without having the same pixel averaging effect.
Then there are the very minor differences in result when resampling in a linear gamma 1.0 colour space such as the 32bpc mode of Photoshop (note: linear gamma is not good for shadow detail or low key images).
Glennchan.info
and
Gamma error in picture scaling
and
PhotoAcute; How to downsample SuperResolution images to 50% size - Page 2 - Open Photography Forums
and
Gamma Correction in Computer Graphics
I do not have a DSP background, however this may technically be known as "aliasing" rather than moiré (moire is better known). Here are some more links that go into all this in more detail:
Aliasing - Wikipedia, the free encyclopedia
and
Down-sampling example 1.
and
Down sampling methods
and
Aliasing and Moire patterns
and
Downsizing and aliasing
and
Is this Aliasing?
Stephen Marsh
(Keywords for a future search: moire, moiré, aliasing)