Use this virtual-reality calculation for a first-order display, optics, tracking, rendering, or latency estimate when all stages and units are explicitly defined.

Ideal radius

Required number. Ideal undistorted radius fraction; must be nonzero.

Measured radius

Required number. Measured distorted radius fraction for the same point.

The cited overview of Distortion (optics) supplies background for the terminology and domain context used by this tool.^[1]

Solve the first radial distortion coefficient of r_d = r_u·(1 + k1·r_u²) from a measured sample. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

K1 coefficient

Returned number. First radial distortion coefficient.

• Lens calibration, per-eye geometry, display scanout, asynchronous pipelines, tracking filters, workload variation, user anatomy, and device firmware can make measured VR behavior differ from a serial model.
• Ideal radius must be at least 0.
• Ideal radius must be no greater than 1.
• Measured radius must be at least 0.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Validate the estimate on the target headset with calibrated motion, optical, frame-timing, and latency measurements under a representative workload.

• Lens Distortion K2 Calculator

  Solve the second radial distortion coefficient of r_d = r_u·(1 + k1·r_u² + k2·r_u⁴) from a measured sample.

• Distortion Correction Factor Calculator

  Compute the per-pixel radial correction factor 1 + k1·r² + k2·r⁴ used to undistort headset lens output.

• Chromatic Aberration Correction Calculator

  Compute the radial scale correction that removes measured color channel separation at a reference radius.