Abstract: The fillet transition is a core technique for smoothly connecting surfaces to eliminate sharp edges. Traditional transition methods suffer from the need for computational corrections and lack of flexibility, leading to significant difficulties in system development. To address these issues, a unified framework for constructing multi-type transition surfaces has been proposed. This method derives a mathematical model for fillet surfaces based on the ball-rolling theory, avoiding the error issues associated with control point corrections in traditional methods. Then, precision iterative control is employed to ensure the stitching accuracy of the transition surfaces. By replacing local steps, a variety of transition surfaces are constructed, including constant radius, variable radius with or without spine lines, three-cut surfaces, and interpolation of specified curves. The development of fillet transition functions in industrial software indicates that this method can reduce the workload by approximately 25% compared to the comprehensive application of various traditional methods. Experimental results from modeling compressor blades demonstrate that the continuity and smoothness of the transition surfaces have reached the same level as NX.