Camera Coverage Area Calculator

ANALife Services AuthorityNational Calculator Authority›Camera Coverage Area Calculator

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Camera Coverage Area Calculator

Calculate the coverage area, width, and height of a security or surveillance camera based on its field of view (FOV) angle and maximum viewing distance.

Horizontal Field of View (degrees)

Vertical Field of View (degrees)

Maximum Viewing Distance (meters)

Camera Mount Height (meters, optional)

Camera Tilt Angle (degrees below horizontal, optional)

Calculate Results will appear here.

function camCalc() { const fovH = parseFloat(document.getElementById('cam-fov-h').value); const fovV = parseFloat(document.getElementById('cam-fov-v').value); const distance = parseFloat(document.getElementById('cam-distance').value); const mountHeight = parseFloat(document.getElementById('cam-mount-height').value); const tilt = parseFloat(document.getElementById('cam-tilt').value);

const resultDiv = document.getElementById('cam-result');

// Validation if (isNaN(fovH) || fovH = 360) { resultDiv.innerHTML = 'Please enter a valid Horizontal FOV between 1 and 359 degrees.'; return; } if (isNaN(fovV) || fovV = 180) { resultDiv.innerHTML = 'Please enter a valid Vertical FOV between 1 and 179 degrees.'; return; } if (isNaN(distance) || distance Please enter a valid Maximum Viewing Distance greater than 0.'; return; }

// Convert degrees to radians const fovHRad = (fovH * Math.PI) / 180; const fovVRad = (fovV * Math.PI) / 180;

// Coverage width at maximum distance: W = 2 * D * tan(FOV_H / 2) const coverageWidth = 2 * distance * Math.tan(fovHRad / 2);

// Coverage height at maximum distance: H = 2 * D * tan(FOV_V / 2) const coverageHeight = 2 * distance * Math.tan(fovVRad / 2);

// Coverage area approximated as a circular sector (fan-shaped): // Area = D^2 * tan(FOV_H / 2) * tan(FOV_V / 2) * pi [elliptical sector approximation] // More commonly used: Area = (FOV_H_rad / 2) * D^2 [circular sector, horizontal sweep] // This calculator uses the triangular/sector formula for horizontal sweep: // Sector Area = 0.5 * D^2 * FOV_H_rad const sectorArea = 0.5 * distance * distance * fovHRad;

// Rectangular approximation: Area = Width * Distance (depth of field) const rectArea = coverageWidth * distance;

// Effective ground coverage if tilt and mount height are provided let groundInfo = ''; if (!isNaN(mountHeight) && mountHeight > 0 && !isNaN(tilt) && tilt > 0) { const tiltRad = (tilt * Math.PI) / 180; // Ground distance to near edge: d_near = mount_height / tan(tilt + fovV/2) // Ground distance to far edge: d_far = mount_height / tan(tilt - fovV/2) const tiltNear = tilt + fovV / 2; const tiltFar = tilt - fovV / 2; const tiltNearRad = (tiltNear * Math.PI) / 180; const tiltFarRad = (tiltFar * Math.PI) / 180;

let groundDepth = null; let dNear = null; let dFar = null;

if (tiltNear 0) { dNear = mountHeight / Math.tan(tiltNearRad); } if (tiltFar > 0 && tiltFar dNear) { groundDepth = dFar - dNear; const groundWidthAtFar = 2 * dFar * Math.tan(fovHRad / 2); const groundWidthAtNear = 2 * dNear * Math.tan(fovHRad / 2); const trapezoidArea = 0.5 * (groundWidthAtNear + groundWidthAtFar) * groundDepth; groundInfo = ` Ground Coverage (Tilt Analysis) Near Edge Ground Distance\${dNear.toFixed(2)} m Far Edge Ground Distance\${dFar.toFixed(2)} m Ground Depth Covered\${groundDepth.toFixed(2)} m Ground Width at Near Edge\${groundWidthAtNear.toFixed(2)} m Ground Width at Far Edge\${groundWidthAtFar.toFixed(2)} m Trapezoid Ground Area\${trapezoidArea.toFixed(2)} m² `; } else if (dNear !== null) { groundInfo = ` Ground Coverage (Tilt Analysis) Near Edge Ground Distance\${dNear.toFixed(2)} m NoteFar edge extends beyond horizontal — camera sees to the horizon. `; } else { groundInfo = ` Ground Coverage (Tilt Analysis) NoteTilt angle too steep or too shallow for valid ground projection with given FOV. `; } }

resultDiv.innerHTML = `

ParameterValue Coverage Width at Max Distance\${coverageWidth.toFixed(2)} m Coverage Height at Max Distance\${coverageHeight.toFixed(2)} m Sector (Fan) Coverage Area\${sectorArea.toFixed(2)} m² Rectangular Coverage Area\${rectArea.toFixed(2)} m² Sector Area (sq ft)\${(sectorArea * 10.7639).toFixed(2)} ft² Rectangular Area (sq ft)\${(rectArea * 10.7639).toFixed(2)} ft² \${groundInfo}

`; }

#### Formulas Used

Coverage Width at distance D: W = 2 × D × tan(FOV_H / 2)

Coverage Height at distance D: H = 2 × D × tan(FOV_V / 2)

Sector (Fan-Shaped) Coverage Area: A_sector = 0.5 × D² × FOV_H (radians) This treats the camera's horizontal sweep as a circular sector.

Rectangular Coverage Area: A_rect = W × D = 2 × D² × tan(FOV_H / 2) This is a conservative bounding-box approximation.

Ground Coverage with Tilt (when mount height H_m and tilt angle θ are given): d_near = H_m / tan(θ + FOV_V/2) d_far = H_m / tan(θ − FOV_V/2) A_ground = 0.5 × (W_near + W_far) × (d_far − d_near) (trapezoid)

#### Assumptions & References

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