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<?php |
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/** |
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* Class PerspectiveTransform |
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* |
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* @created 17.01.2021 |
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* @author ZXing Authors |
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* @author Smiley <[email protected]> |
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* @copyright 2021 Smiley |
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* @license Apache-2.0 |
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*/ |
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namespace chillerlan\QRCode\Detector; |
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use function count; |
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/** |
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* <p>This class implements a perspective transform in two dimensions. Given four source and four |
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* destination points, it will compute the transformation implied between them. The code is based |
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* directly upon section 3.4.2 of George Wolberg's "Digital Image Warping"; see pages 54-56.</p> |
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* |
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* @author Sean Owen |
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*/ |
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final class PerspectiveTransform{ |
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private float $a11; |
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private float $a12; |
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private float $a13; |
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private float $a21; |
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private float $a22; |
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private float $a23; |
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private float $a31; |
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private float $a32; |
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private float $a33; |
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private function __construct( |
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float $a11, float $a21, float $a31, |
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float $a12, float $a22, float $a32, |
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float $a13, float $a23, float $a33 |
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){ |
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$this->a11 = $a11; |
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$this->a12 = $a12; |
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$this->a13 = $a13; |
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$this->a21 = $a21; |
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$this->a22 = $a22; |
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$this->a23 = $a23; |
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$this->a31 = $a31; |
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$this->a32 = $a32; |
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$this->a33 = $a33; |
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} |
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public static function quadrilateralToQuadrilateral( |
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float $x0, float $y0, float $x1, float $y1, float $x2, float $y2, float $x3, float $y3, |
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float $x0p, float $y0p, float $x1p, float $y1p, float $x2p, float $y2p, float $x3p, float $y3p |
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):PerspectiveTransform{ |
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$qToS = self::quadrilateralToSquare($x0, $y0, $x1, $y1, $x2, $y2, $x3, $y3); |
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$sToQ = self::squareToQuadrilateral($x0p, $y0p, $x1p, $y1p, $x2p, $y2p, $x3p, $y3p); |
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return $sToQ->times($qToS); |
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} |
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public static function quadrilateralToSquare( |
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float $x0, float $y0, float $x1, float $y1, |
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float $x2, float $y2, float $x3, float $y3 |
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):PerspectiveTransform{ |
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// Here, the adjoint serves as the inverse: |
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return self::squareToQuadrilateral($x0, $y0, $x1, $y1, $x2, $y2, $x3, $y3)->buildAdjoint(); |
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} |
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public function buildAdjoint():PerspectiveTransform{ |
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// Adjoint is the transpose of the cofactor matrix: |
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return new self( |
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$this->a22 * $this->a33 - $this->a23 * $this->a32, |
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$this->a23 * $this->a31 - $this->a21 * $this->a33, |
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$this->a21 * $this->a32 - $this->a22 * $this->a31, |
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$this->a13 * $this->a32 - $this->a12 * $this->a33, |
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$this->a11 * $this->a33 - $this->a13 * $this->a31, |
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$this->a12 * $this->a31 - $this->a11 * $this->a32, |
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$this->a12 * $this->a23 - $this->a13 * $this->a22, |
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$this->a13 * $this->a21 - $this->a11 * $this->a23, |
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$this->a11 * $this->a22 - $this->a12 * $this->a21 |
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); |
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} |
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public static function squareToQuadrilateral( |
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float $x0, float $y0, float $x1, float $y1, |
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float $x2, float $y2, float $x3, float $y3 |
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):PerspectiveTransform{ |
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$dx3 = $x0 - $x1 + $x2 - $x3; |
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$dy3 = $y0 - $y1 + $y2 - $y3; |
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if($dx3 === 0.0 && $dy3 === 0.0){ |
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// Affine |
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return new self($x1 - $x0, $x2 - $x1, $x0, $y1 - $y0, $y2 - $y1, $y0, 0.0, 0.0, 1.0); |
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} |
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else{ |
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$dx1 = $x1 - $x2; |
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$dx2 = $x3 - $x2; |
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$dy1 = $y1 - $y2; |
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$dy2 = $y3 - $y2; |
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$denominator = $dx1 * $dy2 - $dx2 * $dy1; |
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$a13 = ($dx3 * $dy2 - $dx2 * $dy3) / $denominator; |
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$a23 = ($dx1 * $dy3 - $dx3 * $dy1) / $denominator; |
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return new self( |
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$x1 - $x0 + $a13 * $x1, $x3 - $x0 + $a23 * $x3, $x0, |
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$y1 - $y0 + $a13 * $y1, $y3 - $y0 + $a23 * $y3, $y0, |
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$a13, $a23, 1.0 |
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); |
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} |
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} |
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public function times(PerspectiveTransform $other):PerspectiveTransform{ |
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return new self( |
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$this->a11 * $other->a11 + $this->a21 * $other->a12 + $this->a31 * $other->a13, |
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$this->a11 * $other->a21 + $this->a21 * $other->a22 + $this->a31 * $other->a23, |
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$this->a11 * $other->a31 + $this->a21 * $other->a32 + $this->a31 * $other->a33, |
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$this->a12 * $other->a11 + $this->a22 * $other->a12 + $this->a32 * $other->a13, |
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$this->a12 * $other->a21 + $this->a22 * $other->a22 + $this->a32 * $other->a23, |
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$this->a12 * $other->a31 + $this->a22 * $other->a32 + $this->a32 * $other->a33, |
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$this->a13 * $other->a11 + $this->a23 * $other->a12 + $this->a33 * $other->a13, |
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$this->a13 * $other->a21 + $this->a23 * $other->a22 + $this->a33 * $other->a23, |
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$this->a13 * $other->a31 + $this->a23 * $other->a32 + $this->a33 * $other->a33 |
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); |
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} |
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public function transformPoints(array &$xValues, array &$yValues = null):void{ |
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$max = count($xValues); |
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if($yValues !== null){ |
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for($i = 0; $i < $max; $i++){ |
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$x = $xValues[$i]; |
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$y = $yValues[$i]; |
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$denominator = $this->a13 * $x + $this->a23 * $y + $this->a33; |
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$xValues[$i] = ($this->a11 * $x + $this->a21 * $y + $this->a31) / $denominator; |
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$yValues[$i] = ($this->a12 * $x + $this->a22 * $y + $this->a32) / $denominator; |
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} |
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return; |
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} |
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for($i = 0; $i < $max; $i += 2){ |
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$x = $xValues[$i]; |
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$y = $xValues[$i + 1]; |
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$denominator = $this->a13 * $x + $this->a23 * $y + $this->a33; |
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$xValues[$i] = ($this->a11 * $x + $this->a21 * $y + $this->a31) / $denominator; |
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$xValues[$i + 1] = ($this->a12 * $x + $this->a22 * $y + $this->a32) / $denominator; |
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} |
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} |
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} |
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chillerlan /
php-qrcode
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