We welcome you to participate in GMP 2012, which will be held in Yellow Mountain (Huangshan), China, from June 20-22, 2012. Geometric Modeling and Processing (GMP) is a biannual international conference series on geometric modeling, simulation and computing. The modeling and processing of geometric data is fundamental to many computer applications, including computer graphics, computer vision, CAD/CAM, medical imaging, engineering analysis, robotics and scientific computation topics. GMP conferences provide researchers and practitioners with a forum for exchanging new ideas, discussing new applications, and presenting new solutions. GMP 2012 is the seventh GMP conference. The previous GMP conferences were held in Castro Urdialesn (2010), Hangzhou (2008), Pittsburgh (2006), Beijing (2004), Tokyo (2002), and Hong Kong (2000).