1. "Design theory for curves on surface with its applications ". Supported by Natural Science Foundation of China, under Grant No. 60503057 (2006.01-2008.12) .

2. "Watertight merging of the model composed by multiple trimmed patches". Supported by Natural Science Foundation of China, under Grant No. 60970150 (2010.01-2012.12) .

3. "Adaptive segmentation and recognition of mesh model". Supported by Natural Science Foundation of Zhejiang Province, under Grant No. Y1090416 (2010.01-2011.12).

4. "Theory and key techniques in the three dimensional data representation." Supported by Natural Science Foundation of China, under Grant No. 60933008 (2010.01-2013.12) .

5. "The iterative methods driven by geometric information under complicated constrains and its applications." Supported by Natural Science Foundation of China, under Grant No. 61379072 (2014.01~2017.12) .