Panoramas - Finding the Entrance Pupil
Prepared 2005-05 by Bill Claff


A panorama is a wide or expansive view. In still photography a panoramic image is one that is wider -sometimes much wider- than normal. Without a specialized camera, panoramas are formed by creating a mosaic of two or more images in a process called stitching. Although images are generally stitched horizontally they can also be stitched vertically or in both directions.

12 vertical shots stitched together
Nikon D70 with 12-24mm f/4G ED-IF AF-S DX Nikkor @ 12mm f/7.1 1/60s
With hand-held SB-800 on SC-29 cable, TTL-BL flash setting

In order for two images to stitch together properly they must be taken with the entrance pupil of the lens in the same position in space. If this requirement is not met then objects at different distances from the camera will move in relation to each other making stitching impossible. This requirement can be relaxed only for those situations where the entire scene is fairly far away and that is why the demonstration shots above were made in close quarters and not of a landscape.


Images for a horizontal panorama are usually collected by panning the camera on a leveled tripod. But the camera is not rotated about the tripod socket but rather about the entrance pupil of the lens. The location of the entrance pupil is a function of the focal length and focus position of the lens. If you have made an investment in a panoramic head then generally locating the entrance pupil is done by trial and error.

A pair of objects, one close by and one distant are sighted through the viewfinder and the panoramic head offset is adjusted until these objects no longer move relative to each other when the camera is panned. However, if you're constructing your own panoramic setup with a fixed offset then you need to determine the offset beforehand. This tip provides a technique for locating the entrance pupil without requiring a fancy panoramic head.


I want to share this method that I used to locate the rotation point for my 12-24mm @ 12mm and it worked quite well.

I will be referring to the following diagram.
I took an ordinary 8 1/2x11 inch sheet of paper.
I drew two isosceles triangles with a base of 120mm and heights of 180mm and 240mm. These triangles represent 1/2 the horizontal field of view at infinity at 18mm and 24mm focal lengths respectively.
(Notice 120mm is 10*(24mm/2), 180mm is 10*18mm, and 240mm is 10*24mm.)

According to my results the distances from the tripod socket forward to the entrance pupil is 74mm at 18mm focal length and 65mm at 24mm focal length.

BTW, the 12-24mm at 12mm has a socket-to-node distance of 100mm.