After you set your screen rect, do something like the following to decide what rect to draw the image in:

float hfactor = value.bounds.size.width / screenRect.size.width;
float vfactor = value.bounds.size.height / screenRect.size.height;

float factor = fmax(hfactor, vfactor);

// Divide the size by the greater of the vertical or horizontal shrinkage factor
float newWidth = value.bounds.size.width / factor;
float newHeight = value.bounds.size.height / factor;

// Then figure out if you need to offset it to center vertically or horizontally
float leftOffset = (screenRect.size.width - newWidth) / 2;
float topOffset = (screenRect.size.height - newHeight) / 2;

CGRect newRect = CGRectMake(leftOffset, topOffset, newWidth, newHeight);

If you don t want to enlarge images smaller than the screenRect, make sure factor is greater than or equal to one (e.g. factor = fmax(factor, 1)).

To get the black background, you would probably just want to set the context color to black and call fillRect before drawing the image.

I know this is very old, but thanks for that post -- it redirected me from attempting to use scale to drawing the image. In case it is of benefit to anyone, I made an extension class I ll throw in here. It allows you to resize an image like this:

      UIImage imgNew = img.Fit(40.0f, 40.0f);

I don t need a fit option, but it could easily be extended to support Fill as well.

using CoreGraphics;
using System;
using UIKit;

namespace SomeApp.iOS.Extensions
{
  public static class UIImageExtensions
  {
    public static CGSize Fit(this CGSize sizeImage,
      CGSize sizeTarget)
    {
      CGSize ret;
      float fw;
      float fh;
      float f;

      fw = (float) (sizeTarget.Width / sizeImage.Width);
      fh = (float) (sizeTarget.Height / sizeImage.Height);
      f = Math.Min(fw, fh);
      ret = new CGSize
      {
        Width = sizeImage.Width * f,
        Height = sizeImage.Height * f
      };
      return ret;
    }

    public static UIImage Fit(this UIImage image,
      float width,
      float height,
      bool opaque = false,
      float scale = 1.0f)
    {
      UIImage ret;

      ret = image.Fit(new CGSize(width, height),
        opaque,
        scale);
      return ret;
    }

    public static UIImage Fit(this UIImage image,
      CGSize sizeTarget,
      bool opaque = false,
      float scale = 1.0f)
    {
      CGSize sizeNewImage;
      CGSize size;
      UIImage ret;

      size = image.Size;
      sizeNewImage = size.Fit(sizeTarget);
      UIGraphics.BeginImageContextWithOptions(sizeNewImage,
        opaque,
        1.0f);
      using (CGContext context = UIGraphics.GetCurrentContext())
      {
        context.ScaleCTM(1, -1);
        context.TranslateCTM(0, -sizeNewImage.Height);
        context.DrawImage(new CGRect(CGPoint.Empty, sizeNewImage),
          image.CGImage);
        ret = UIGraphics.GetImageFromCurrentImageContext();
      }
      UIGraphics.EndImageContext();
      return ret;
    }
  }
}

As per the post above, it starts a new context for an image, then for that image it figures out aspect and then paints into the image. If you haven t done any Swift xcode dev time, UIGraphics is a bit backwards to most systems I work with but not bad. One issue is that bitmaps by default paint bottom to top. To get around that,

        context.ScaleCTM(1, -1);
        context.TranslateCTM(0, -sizeNewImage.Height);

Changes the orientation of drawing to the more common top-left to bottom-right... but then you need to move the origin as well hence the TranslateCTM.

Hopefully, it saves someone some time.

Cheers