Normally TIFF has a larger size, but there are also exceptions. It depends on the compression applied to the image. Both TIFF and JPEG can compress images.
The compression ration is determined by the compression options (mostly quality counts) Besides that TIFF is a very complex format that can encapsulate also JPEG For more details please see the related questions.
Notice how the JPEG algorithm prioritizes prominent high-contrast edges at the expense of more subtle textures. As the compression quality decreases, the JPEG algorithm is forced to sacrifice the quality of more and more visually prominant textures in order to continue decreasing the file size. TIFF stands for "Tagged Image File Format" and is a standard in the printing and publishing industry.
TIFF files are significantly larger than their JPEG counterparts, and can be either uncompressed or compressed using lossless compression. Unlike JPEG, TIFF files can have a bit depth of either 16-bits per channel or 8-bits per channel, and multiple layered images can be stored in a single TIFF file. TIFF files are an excellent option for archiving intermediate files which you may edit later, since it introduces no compression artifacts.
Many cameras have an option to create images as TIFF files, but these can consume excessive space compared to the same JPEG file. If your camera supports the RAW file format this is a superior alternative, since these are significantly smaller and can retain even more information about your image. Only save an image using a lossy compression once all other image editing has been completed, since many image manipulations can amplify compression artifacts.
Avoid compressing a file multiple times, since compression artifacts may accumulate and progressively degrade the image. For such cases, the JPEG algorithm will also produce larger and larger files at the same compression level. Ensure that image noise levels are as low as possible, since this will produce dramatically smaller JPEG files.
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