Two-Dimensional Digital Transient Improvement for Edge Enhancement

The patent transitions from one-dimensional DTi filtering to two-dimensional DTi filtering. The 2D filter processes edges in both horizontal and vertical directions simultaneously, allowing it to handle edges at any angle without the overshoot and ringing problems that plague 1D filters. This dimensional expansion enables the filter to maintain edge sharpness while preserving image smoothness across all orientations.

The patent applies different filtering strengths and characteristics to different regions of the image based on local edge properties. The 2D DTi filter adapts its response to local edge orientations and characteristics, applying enhancement only where needed while preserving smoothness in non-edge regions. This local adaptation prevents the global overshoot and ringing effects that occur with traditional 1D approaches.

The patent combines multiple 1D filtering operations into a single 2D filtering operation. Rather than applying separate 1D filters horizontally and vertically and then combining results, the 2D DTi filter performs the enhancement in a unified operation that simultaneously handles all orientations. This merging reduces computational complexity and eliminates the jaggedness artifacts that arise from combining multiple 1D passes.

The 2D DTi filter is designed to be universally applicable to edges at any angle without requiring angle-specific configuration or multiple specialized filters. A single 2D filter structure handles horizontal, vertical, diagonal, and odd-angle edges equally effectively, eliminating the need for complex angle detection and selective filter application.