关键词: 勒贝格测度, 优美图, 优美度[&eta, ], 卫星图像识别, 古村落拓扑

Abstract: Based on the topology for residence in Huizhou, the topological change of different age village is fitted numerical curve. Huizhou has some villages over 1, 000 years. The images can get by Google satellite, and form the yearly（dynasty） topology after identification. The analysis is based on the Lebesgue measure theory. Topology identification graceful graph algorithms are introduced to quantify graceful graph topology diagram in the village. The η of the graceful values of village is defined by the measure concept graceful graph structure. When η is about 8, 000, the village of ancient is rich in humanities; when it is less than 6, 000, villages in the humanities remains minimal; villages of about 700 years, η value is close to 9, 600. The research result conforms to the actual status. Through the curve of η value changed by age, a preliminary analysis of the evolution of the ancient village is made. Results comply with reality.

Key words: Lebesgue measure, graceful graph, &eta, of the graceful values, satellite image recognition, ancient villages topology