The MTF Chart's 10 lp/mm and 30 lp/mm Lines: How Lens Contrast and Resolution Dictate Perceived Sharpness
Modulation Transfer Function (MTF) charts quantify a camera lens's optical performance before a single photograph is taken. By plotting contrast against resolution across the image frame, the 10 lp/mm and 30 lp/mm lines reveal exactly how sharp a lens will appear in practice.
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In short
- MTF charts plot a lens's contrast transfer (0 to 1.0) against the distance from the center of the frame.
- The 10 lp/mm line measures macro-contrast, dictating the overall perceived sharpness and 'punch' of the image.
- The 30 lp/mm line measures resolution, dictating the lens's ability to render fine detail.
For an MTF chart to be useful, the manufacturer must publish it, and the photographer must know how to read it. A Modulation Transfer Function (MTF) chart is the standard method for quantifying the optical performance of a camera lens. It plots the lens's ability to transfer contrast from the subject to the image sensor, measured from the center of the frame to the extreme corners.
The chart achieves this by measuring how well the lens reproduces a test pattern of alternating black and white lines, expressed as a percentage from 0 to 1.0 (or 0% to 100%). A score of 1.0 indicates perfect contrast transfer, a theoretical impossibility for any physical lens due to diffraction and optical aberrations.[1][2]
The test patterns are measured at specific spatial frequencies, defined in line pairs per millimeter (lp/mm). One line pair consists of one black line and one white line. The two most common frequencies used by manufacturers like Canon and Nikon are 10 lp/mm and 30 lp/mm. The 10 lp/mm measurement uses thicker, more widely spaced lines to evaluate the lens's overall contrast. The 30 lp/mm measurement uses finer, more closely spaced lines to evaluate the lens's resolution, or its ability to render fine detail.[1][2]
The 10 lp/mm line on an MTF chart dictates the perceived "punch" or macro-contrast of the resulting image. A high value at 10 lp/mm, typically above 0.8, indicates that the lens can clearly distinguish between broad areas of light and dark. This is the characteristic that makes an image appear sharp at a glance, even when viewed at smaller sizes or printed at standard dimensions.
According to Canon, "a lens with a 10 lines/mm curve higher than 0.8 is generally considered to have excellent image quality." If the 10 lp/mm line drops significantly, the image will appear flat, washed out, or hazy, regardless of how much fine detail the lens can resolve.[1]
Conversely, the 30 lp/mm line dictates the lens's micro-contrast, or its ability to resolve fine textures like hair, fabric weaves, or distant foliage. A high value at 30 lp/mm, generally above 0.6, indicates excellent resolving power. This metric becomes critical when making large prints or heavily cropping an image.
A lens might have excellent macro-contrast (a high 10 lp/mm score) but poor resolution (a low 30 lp/mm score). In this scenario, the image will look punchy at a distance but will lack detail when examined closely. Nikon notes that "the higher the 30 lines/mm curve, the higher the resolution of the lens."[2]
The MTF chart plots these values along the y-axis (contrast transfer from 0 to 1.0) against the distance from the center of the image sensor along the x-axis (measured in millimeters). For a full-frame 35mm sensor, the center is 0mm, and the extreme corner is approximately 21.6mm away.
A perfect lens would draw a straight horizontal line at 1.0 across the entire graph. In reality, all lenses exhibit a drop in performance toward the edges of the frame. The rate and severity of this drop indicate the lens's corner sharpness. A curve that remains relatively flat and high across the entire x-axis represents a lens with consistent edge-to-edge sharpness.[1][2]
Further complicating the chart, the test patterns are measured in two orientations: sagittal (lines radiating outward from the center, like spokes on a wheel) and meridional (lines running concentric to the center, like a target). These are often plotted as solid lines (sagittal) and dashed lines (meridional).
The divergence between the sagittal and meridional lines at a given point on the x-axis indicates the presence of astigmatism, an optical aberration that causes point light sources to smear or blur in a specific direction. A lens with well-controlled astigmatism will have sagittal and meridional lines that track closely together.[1]
Manufacturers typically provide MTF charts for a lens at its maximum (widest) aperture and often at a stopped-down aperture, such as f/8. The wide-open performance reveals the lens's optical flaws, as aberrations are most pronounced when the aperture is fully open.
Stopping the lens down to f/8 generally improves both contrast and resolution, causing the MTF curves to rise and flatten out. Comparing the wide-open and stopped-down charts illustrates how much the lens benefits from being stopped down. For zoom lenses, manufacturers usually provide charts for both the widest and longest focal lengths.[1][2]
While MTF charts provide objective data, they have limitations. They are calculated based on theoretical designs or measured using flat test targets at specific distances, which may not perfectly reflect real-world performance at infinity or close focus. Furthermore, MTF charts do not measure other critical optical characteristics, such as color rendition, distortion, chromatic aberration, or the aesthetic quality of out-of-focus areas (bokeh). As Cambridge in Colour points out, "MTF charts are a very useful tool, but they are not the only factor to consider when evaluating a lens."[3]
The interpretation of an MTF chart also depends on the intended application. A portrait photographer might prioritize a high 10 lp/mm score in the center of the frame for punchy contrast, while accepting a rapid drop-off toward the edges, as the corners are often out of focus anyway.
Conversely, a landscape or architectural photographer requires high 30 lp/mm scores that remain consistent across the entire frame to ensure fine detail is captured from edge to edge. Understanding the relationship between the 10 lp/mm and 30 lp/mm lines allows photographers to match the lens's optical profile to their specific needs.[1][4]
Understanding the relationship between the 10 lp/mm and 30 lp/mm lines allows photographers to match the lens's optical profile to their specific needs.
Independent testing organizations, such as Lensrentals, often publish their own MTF data based on testing multiple copies of a physical lens, rather than relying on the manufacturer's theoretical calculations. This approach accounts for sample variation and manufacturing tolerances, providing a more realistic picture of the lens's average performance. When comparing MTF charts from different sources, it is crucial to ensure that the testing methodologies and spatial frequencies (lp/mm) are identical, as comparing a 10 lp/mm chart to a 20 lp/mm chart will yield misleading conclusions.[3][4]
Jargon, explained
- Modulation Transfer Function (MTF)
- A standardized measurement of a lens's ability to transfer contrast from the subject to the image sensor at various spatial frequencies.
- Line Pairs per Millimeter (lp/mm)
- The unit of measurement used for the test patterns in MTF testing, consisting of one black line and one white line.
- Macro-Contrast
- The ability of a lens to distinguish between broad areas of light and dark, dictating the overall 'punch' of the image, measured at 10 lp/mm.
- Micro-Contrast (Resolution)
- The ability of a lens to resolve fine, closely spaced details, measured at 30 lp/mm.
- Sagittal Lines
- Test lines that radiate outward from the center of the image frame, like spokes on a wheel.
- Meridional Lines
- Test lines that run concentric to the center of the image frame, like a target.
- Astigmatism
- An optical aberration where a lens fails to focus sagittal and meridional lines on the same plane, causing point light sources to smear.
Common questions
What does a score of 1.0 mean on an MTF chart?
A score of 1.0 indicates perfect contrast transfer, meaning the lens reproduces the test pattern with 100% fidelity. This is a theoretical ideal that no physical lens can achieve.
Why do the lines on an MTF chart drop toward the right?
The x-axis represents the distance from the center of the image sensor. The drop indicates that the lens is less sharp in the corners than it is in the center, a common characteristic of all optical designs.
What is the difference between the 10 lp/mm and 30 lp/mm lines?
The 10 lp/mm line measures macro-contrast, or the overall 'punch' of the image. The 30 lp/mm line measures resolution, or the lens's ability to render fine, closely spaced details.
Do MTF charts measure color accuracy or distortion?
No, MTF charts only measure contrast and resolution. They do not account for other optical characteristics like color rendition, geometric distortion, or chromatic aberration.
Competing readings
The Manufacturer's Baseline
Manufacturers use MTF charts to establish a theoretical baseline for optical performance.
For companies like Canon and Nikon, the MTF chart serves as a standardized, objective metric to communicate the optical quality of a lens design. These charts are often generated through computer simulations based on the lens's optical formula, rather than by testing physical production units. This approach illustrates the theoretical maximum performance of the design, assuming perfect manufacturing and alignment. The 10 lp/mm and 30 lp/mm lines provide a quick visual summary of the lens's contrast and resolution capabilities, allowing consumers to compare different models within the manufacturer's lineup.
The Independent Tester's Reality
Independent testers prioritize physical testing to account for manufacturing variance.
Organizations like Lensrentals approach MTF testing differently, focusing on the physical reality of production lenses. They recognize that manufacturing tolerances, element decentering, and assembly variations mean that a physical lens rarely matches its theoretical MTF curve perfectly. By testing multiple copies of the same lens model on specialized optical benches, independent testers generate an average MTF chart that reflects what a consumer is likely to receive. This physical testing often reveals flaws, such as asymmetrical sharpness or higher-than-expected astigmatism, that are not present in the manufacturer's theoretical charts.
The Photographer's Application
Photographers interpret MTF data based on their specific shooting requirements.
For the end-user, the value of an MTF chart lies in matching the lens's optical profile to a specific photographic application. A portrait photographer might prioritize a lens with a high 10 lp/mm score in the center for punchy contrast on the subject's face, while accepting lower 30 lp/mm scores or a rapid drop-off in the corners, as the edges of the frame are typically blurred by a shallow depth of field. Conversely, a landscape photographer requires a lens that maintains high 30 lp/mm scores across the entire frame, ensuring that fine details like distant foliage are rendered sharply from edge to edge. The MTF chart allows the photographer to make an informed decision before purchasing.
- Optical Engineers
- Focus on the theoretical limits of lens design and the mathematical modeling of contrast transfer.
- Lens Manufacturers
- Use MTF charts to communicate the optical quality of their products, often relying on theoretical calculations rather than physical testing.
- Independent Testers
- Prioritize physical testing of multiple lens copies to account for manufacturing variance and real-world performance.
Perspectives this story doesn't cover
- Working Photographers
- Cinematographers
Sources
[1]Canon U.S.A., Inc.Lens ManufacturersReading and Understanding Lens MTF Charts
Read on Canon U.S.A., Inc. →
[2]NikonLens ManufacturersWhat is a Lens MTF Chart & How Do I Read It?
Read on Nikon →
[3]BaslerOptical EngineersUnderstanding the use of MTF in evaluating lens quality
Read on Basler →
[4]Lensrentals BlogIndependent TestersJust MTF Charts: Sigma Prime Lenses
Read on Lensrentals Blog →
[5]Factlen Editorial TeamSynthesis by Factlen editorial team
Read on Factlen Editorial Team →
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