# Depth of Focus

## Introduction

Depth of Focus is a term used to describe the distances where an object is deemed to be within focus. If the object is too close or too far it falls out of focus.

In this article, we will describe the basic principles of Depth of Focus, and also learn how to apply these principles for the Zivid cameras.

## What do we mean by focus?

Focus is typically defined by what is called the Circle of Confusion, or CoC for short. The CoC is the radius, or area, covered by light from a point as it hits the imaging sensor after passing through the camera lens. Typically, an object is deemed out of focus when the CoC is so large that it covers more than one pixel. The net effect is that the signal power is lost from the target pixel to neighboring pixels as noise. This causes the target and its neighbors to have a lower signal to noise ratio. When the aperture is sufficiently large, objects that are too close will be focused in front of the image sensor and blur into neighboring pixels. Similarly, objects that are too far behind the focus plane will be focused behind the image sensor and blur into neighboring pixels. See the illustration below. The Depth of Field is defined as the distance range where an object is deemed to be in focus. The boundaries are defined by the near focus distance, $$d_{near}$$, and the far focus distance, $$d_{far}$$. Outside these boundaries, the CoC grows such that the light from that point begins to spread into the neighbor pixels.

The angles at which the lens refracts the light rays grow with the aperture size. For Zivid 3D cameras, this means that objects in the scene lose focus when the aperture is too large. At the same time, this reduces the SNR and makes the point cloud noisier. Therefore, it is essential to carefully select the apertures suitable for the camera’s working distance for optimal image quality.

## How does focus affect my point cloud?

As the image gets more out of focus, artifacts such as noise and Contrast Distortion will increase. When we speak about noise, we are talking about the point precision of the point cloud. This means that the capture-to-capture variations of a given pixel will increase and that the pixel-to-pixel variation within for a given capture will increase. It is important to be aware that a slight increase in noise may still be acceptable. It all depends on the algorithm that is going to process the point cloud afterward. For this reason, it is more often than not, acceptable to have an unfocused image.

Note

Zivid cameras are very robust against defocus!

It is also important to note that only the image regions that are out of focus will be affected. Consider the working distance of the camera for the given application to achieve good point clouds with optimal precision.

Depth of Focus for Zivid Cameras

Zivid 2+ M130

$$f$$ -number

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

1115

1055

975

885

780

680

560

460

355

Focus, far (mm)

1560

1695

1945

2430

3880

15120

Inf 

Inf 

Inf 

Depth of Field (mm)

445

640

970

1545

3095

14440

Inf 

Inf 

Inf 

Zivid 2+ L110

$$f$$ -number

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

800

720

630

535

440

360

275

215

155

Focus, far (mm)

1769

2310

4375

Inf 

Inf 

Inf 

Inf 

Inf 

Inf 

Depth of Field (mm)

960

1590

3745

Inf 

Inf 

Inf 

Inf 

Inf 

Inf 

Zivid 2+ M60

$$f$$ -number

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

500

465

425

380

330

285

230

185

140

Focus, far (mm)

755

840

1010

1390

3200

Inf 

Inf 

Inf 

Inf 

Depth of Field (mm)

255

370

585

1010

2870

Inf 

Inf 

Inf 

Inf 

Zivid 2 M70

$$f$$ -number

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

530

480

420

370

300

250

190

150

110

Focus, far (mm)

1040

1280

1990

7630

Inf 

Inf 

Inf 

Inf 

Inf 

Depth of Field (mm)

510

800

1570

7260

Inf 

Inf 

Inf 

Inf 

Inf 

Zivid 2 L100

$$f$$ -number

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

680

605

520

430

350

280

210

160

120

Focus, far (mm)

1870

2870

14290

Inf 

Inf 

Inf 

Inf 

Inf 

Inf 

Depth of Field (mm)

1190

2260

13770

Inf 

Inf 

Inf 

Inf 

Inf 

Inf 

Zivid One+ Small

$$f$$ -number

$$f/1.4$$

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+4

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

480

470

460

450

430

400

380

340

300

250

Focus, far (mm)

520

530

540

570

600

650

750

950

1350

5500

Depth of Field (mm)

40

60

80

120

170

250

370

610

1050

5250

Zivid One+ Medium

$$f$$ -number

$$f/1.4$$

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+4

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

925

900

850

800

750

650

600

500

425

350

Focus, far (mm)

1100

1150

1200

1300

1500

1900

2800

13000

Inf 

Inf 

Depth of Field (mm)

175

250

350

500

750

1250

2200

12500

Inf 

Inf 

Zivid One+ Large

$$f$$ -number

$$f/1.4$$

$$f/2$$

$$f/2.8$$

$$f/4$$

$$f/5.6$$

$$f/8$$

$$f/11$$

$$f/16$$

$$f/22$$

$$f/32$$

Stops

+4

+3

+2

+1

0

-1

-2

-3

-4

-5

Focus, near (mm)

1700

1600

1500

1350

1200

1000

900

700

500

400

Focus, far (mm)

2400

2600

3000

3750

5700

29000

Inf 

Inf 

Inf 

Inf 

Depth of Field (mm)

700

1000

1500

2400

4500

28000

Inf 

Inf 

Inf 

Inf 

## Depth of Focus Calculator

By using Zivid’s depth of focus calculator, it is possible to find the recommended max aperture based on the working distance and acceptable blur radius. Keep in mind, getting sharp images in the region of interest is one of many things needed for optimal point cloud quality, but it is not a hard constraint. As mentioned above, Zivid 3D technology is very resilient to blur and defocus. It will still be able to provide good point clouds even if the image appears out of focus, though they can be a little noisier.