This paper describes a new technique for free-form object segmentation from a single arbitrary-viewed range image. The aim is to derive a surface description of objects that may vary in shape and complexity without any restriction on the type of surfaces on the object. We propose a surface representation scheme that uses edge information to built a surface description using algebraic implicit surfaces. The proposed technique, not only reduces the number of used patches, but also preserves surface-depth and orientation continuity. This is done by propagating and blending piecewise hermite interpolation surfaces. The system has been tested on several synthetic and real range images and the experimental results have shown that the system can produce reliable surface description of a variety of free-form objects.