Different algorithm when changing the size in the dialog vs tool crop Image size?

In Photoshop CC 2014, I would look to change the size of the image and increase the DPI of 180 to 300.  If I open the dialog "Image size", using CTRL-I, I can set the resolution to 300 dpi, change the width and height, if I want, and I can choose the resampling to use, automatic algorithm, preserve the details, etc...

If I'm resizing an image for printing to a specific dimension, say a poster 24 x 36, I find much easier to just go in the crop tool, select 24 inches by 36 inches and change the px / 300 so I can see what size I need and select the culture I want for the image. I don't see any option for the algorithm to use well, so someone can tell me what algorithm it uses?  Is it possible to specify?  Can I use the Image Size dialog box to increase the DPI first before cropping?

Basically, what is the best method to use to get the best image quality when you try to resize a photo for a large physical size and increase the DPI at the same time?

Thank you in advance.

I suspect the preferences > General > parameter Interpolation of the Image will be used.

Tags: Photoshop

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