supported by National Natural Science Foundation of China (Grant Nos. 11371038, 11471025, 11421101 and 61121002)
This is primarily an expository paper surveying up-to-date known results on the spectral theory of1-Laplacian on graphs and its applications to the Cheeger cut, maxcut and multi-cut problems. The structure of eigenspa...
Supported by National Basic Research Program of China (973 Program,No.2010CB328002);National Natural Science Foundation of China (Nos.61232014,61121002,61173080);National Key Technology Research and Development Program of China (No.2013BAK03B07)
We present a method to represent multi-resolution vector graphics such as road networks or railway networks in virtual environment. These vector data can be interactively edited and the landscape and be explored in re...
supported by the National Basic Research Development Program of China (2009CB320901, 2011CB707805, 2013CB329304);the National Natural Science Foundation of China (31170985, 91120001, 61121002);"985" project grants from Peking University
Based on the Motor Theory of speech perception, the interaction between the auditory and motor systems plays an essential role in speech perception. Since the Motor Theory was proposed, it has received remarkable atte...
Supported by the National Natural Science Foundation of China(No.61071144,61271012,61121002,10990013)
The Landweber scheme is a method for algebraic image reconstructions. The convergence behavior of the Landweber scheme is of both theoretical and practical importance. Using the diagonalization of matrix, we derive a ...
supported by the National Basic Research Program of China (2009CB320904);the National Natural Science Foundation of China (61103087,61121002 and 61272027);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
We propose new techniques for 2-D shape/contour completion, which is one of the important research topics related to shape analysis and computer vision, e.g. the detection of incomplete objects due to occlusion and no...