1. A method of resampling a digital image, the method comprising: presharpening a source image using a first level of presharpening to a first presharpened image, and presharpening the source image using a second level of presharpening that is less than the first level of presharpening to a second presharpened image; upsampling the first presharpened image to a first upsampled image having a specified image size, and upsampling the second presharpened image to a second upsampled image having the specified image size, wherein the upsampling of the first and second presharpened images is performed using a damped, tunable convolution kernel h(n) defined by: h ⁡ ( n ) = cos ω ⁡ ( π ⁢ ⁢ n 2 ⁢ m ) · sin ⁡ ( kn ) kn , where k comprises a dilation determined by an upsampling ratio of the first and second presharpened images, m is the value of n where the sinc function is nullified, and ω is a contour tuning parameter; deblurring the first upsampled image; deblurring the second upsampled image; generating a binary edge mask image from the deblurred, first upsampled image; dilating the binary edge mask image; blurring the dilated binary mask image to provide a deep mask image; and blending the first and second, deblurred upsampled images into an upsampled source image using the deep mask image.