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Are 35 & 50 too close together?

Started Apr 24, 2020 | Discussions
Rod McD Veteran Member • Posts: 8,589
Re: Are 35 & 50 too close together?
3

Hi John,

Agreed.   Content trumps technical merit if an image moves people.

Cheers, Rod

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Truman Prevatt
Truman Prevatt Forum Pro • Posts: 14,596
Re: Are 35 & 50 too close together?

Greg7579 wrote:

I will say again (as this is a common question on all DPR Boards) that they are all very different.

This is a basic tenant of photography.

10, 14, 16, 23, 28, 35, 50, 70 and 90 are all very different from each other.

+1

A lens is a simple device that projects a conical region in space in front of the lens into a conical region behind the lens. The angle of view of that cone is determined by the sensor intersecting the cone behind the lens. That is the angle of view for a 35 mm lens on an APSC sensor is the same as the angle of view of a 50 on a FF sensor. It is this resulting cone that is important and it is determined by the focal length of the lens. a simple equation

angle_of_view=2*arctan(d/(2*f))

where d is the dimension of the sensor intersecting the back cone, a.k.a., image circle and f the focal length. Here "d" is normally taken to be the diagonal dimension of the sensor but it is it could be either, diagonal, length or width.

They are all unique. How we see and how our lens renders three dimensions onto two dimensions is determined by projective geometry as every point of light on a line to the center of the sensor is rendered at the same point on the sensor. The field of view is the intersection of the sensor with this cone. No light sources outside the cone will appear on the sensor and every light source on the ray inside will appear.

That is a reason there is a new hot subject in applied mathematics - called applied algebraic geometry because it is the foundation of computer vision or how we make robots see so they can navigate.

My favorite example:

https://photography.tutsplus.com/tutorials/exploring-how-focal-length-affects-images--photo-6508

The woman takes up the same sensor area - to user error. But the perspective of each lens is vastly different.

For any focal length the main subject can be give the same real estate on the sensor. However, everything in front and to the back and will be rendered differently for each focal length.

Of course the whole ideal of distorted perspective is debated ad nauseam on photography forums with no resolution simply because the wrong geometry is being assumed. Projective transforms do not preserve Euclidian distances and all lines intersect (even parallel lines).

https://blog.photoshelter.com/2018/06/a-mathematician-weighs-in-on-lens-compression/

To achieve 3D vision required for computer vision and robotics, like robots moving independently through space or vehicles performing automatic breaking then tools from projective and algebraic geometry are needed. A camera is a device used to intersect a projective cone with a sensor and the properties we see are those that are undergo a projective transform.

https://blog.photoshelter.com/2018/06/a-mathematician-weighs-in-on-lens-compression/

https://hal.inria.fr/inria-00548361/document

https://courses.engr.illinois.edu/cs543/sp2012/lectures/Lecture%2011%20-%20Projective%20Geometry%20and%20Camera%20Models%20-%20Vision_Spring2012.pdf

The reason for the difference in rendering of three dimensions arises out of the different properties of the projective transforms and from a simply fact that in projective space - lengths are not preserved and all lines including parallel lines intersect .

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"If you learn only methods, you’ll be tied to your methods, but if you learn principles you can devise your own methods." Ralph Waldo Emerson
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MartinNorfolk
MartinNorfolk Regular Member • Posts: 483
Re: Are 35 & 50 too close together?
2

Luckily someone has already worked all that out for us.

All we have to do, is find something interesting to point the lens at.

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OP Snap Happy Senior Member • Posts: 1,925
Example - perspective is independent of FoV/FL
1

The first two images taken from the same position with my phone using Artemis

And here is the 16mm image cropped to match the composition of image taken with the 50mm:

As you can see, in both the 50mm and the cropped 16mm images, the relative sizes and position of all the elements is the same.

As Thom Hogan says in this article, perspective depends entirely on camera position relative to the scene (point-of-view), and is independent of field-of-view.

Composition on the other hand depends on camera position relative to the scene and field-of-view.

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Tim
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John Gellings
John Gellings Veteran Member • Posts: 9,743
Re: Example - perspective is independent of FoV/FL
1

Snap Happy wrote:

The first two images taken from the same position with my phone using Artemis

And here is the 16mm image cropped to match the composition of image taken with the 50mm:

As you can see, in both the 50mm and the cropped 16mm images, the relative sizes and position of all the elements is the same.

As Thom Hogan says in this article, perspective depends entirely on camera position relative to the scene (point-of-view), and is independent of field-of-view.

Composition on the other hand depends on camera position relative to the scene and field-of-view.

I never wanted to admit this is true, but basically if we had 1000 or 10000 mp sensors, many of us would need one lens... the widest you like to use.

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OP Snap Happy Senior Member • Posts: 1,925
Re: Example - perspective is independent of FoV/FL
1

John Gellings wrote:

Snap Happy wrote:

The first two images taken from the same position with my phone using Artemis

And here is the 16mm image cropped to match the composition of image taken with the 50mm:

As you can see, in both the 50mm and the cropped 16mm images, the relative sizes and position of all the elements is the same.

As Thom Hogan says in this article, perspective depends entirely on camera position relative to the scene (point-of-view), and is independent of field-of-view.

Composition on the other hand depends on camera position relative to the scene and field-of-view.

I never wanted to admit this is true, but basically if we had 1000 or 10000 mp sensors, many of us would need one lens... the widest you like to use.

Yep, I am just off to order a GFX 100 with the 400Mp sensor-shift firmware update, a Laowa 17mm and a truck load of SD cards and batteries

I plan to take it with me on my one-per-day-lockdown walk with it around my neck it with the interval timer running and then spend the next 17 hours cropping images in Capture One

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Tim
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GKN Contributing Member • Posts: 568
Re: Are 35 & 50 too close together?

16 / 27 / 50 .... small and compact.?

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Greg7579
Greg7579 Forum Pro • Posts: 14,044
Re: Are 35 & 50 too close together?

Snap Happy wrote:

I do feel that 16, 35 & 50 don't make for the most versatile 3 prime set for my use case.

Me too.  That is why you need to have the 16-55.  Because 90% of the time, that great zoom is going to give you what you need vs carrying three primes.  Plus it provides 55 vs 50.  And even 49 or 51 is better than 50.  😎

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