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    <p>I just got rid of projection matrix and it is the best variant I've got:</p> <pre><code>- (void)adjustTransformationOfLayerWithMarkerId:(NSNumber *)markerId forModelViewMatrix:(NSArray *)modelViewMatrix { CALayer *layer = [self.imageLayers objectForKey:markerId]; ... CATransform3D transform = CATransform3DIdentity; CGFloat *p = (CGFloat *)&amp;transform; for (int i = 0; i &lt; 16; ++i) { *p = [[modelViewMatrix objectAtIndex:i] floatValue]; ++p; } transform.m44 = (transform.m43 &gt; 0) ? transform.m43/kZDistanceWithoutDistortion : 1; CGFloat angle = -M_PI_2; if (self.delegate.interfaceOrientation == UIInterfaceOrientationLandscapeLeft) { angle = M_PI; } if (self.delegate.interfaceOrientation == UIInterfaceOrientationLandscapeRight) { angle = 0; } if (self.delegate.interfaceOrientation == UIInterfaceOrientationPortraitUpsideDown) { angle = M_PI_2; } transform = CATransform3DConcat(transform, CATransform3DMakeRotation(angle, 0, 0, -1)); transform = CATransform3DConcat(CATransform3DMakeScale(-1, 1, 1), transform); // Normalize transformation CGFloat scaleFactor = 1.0f / transform.m44; transform.m41 = transform.m41 * scaleFactor; transform.m42 = transform.m42 * scaleFactor; transform.m43 = transform.m43 * scaleFactor; transform = CATransform3DScale(transform, scaleFactor, scaleFactor, scaleFactor); transform.m44 = 1; BOOL disableAction = YES; ... [CATransaction begin]; [CATransaction setDisableActions:disableAction]; // Disable animation for layer to move faster layer.transform = transform; [CATransaction commit]; } </code></pre> <p>It wasn't absolutely precise, but it was accurate enough for my purposes. Deflection becomes noticeable when x or y displacement were about screen size.</p>
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