Sparse Construction Tree model is a model that represents terrains as elevation functions built from linear combinations of landform features. It is based on the sparse modeling theory, which aims to find a solution to some problem in a vector space, while constraining the solution to lie within a small subspace of that vector space. The main purpose of this project is to develop an application that uses this model to synthesize terrains from landform features based on a user sketch map. These landform features are called atoms and are extracted from one or more exemplars. The application uses only a small subset of the atoms to synthesize the terrain. The application can be used for generating a variety of geologically correct terrains, while providing users with intuitive tools for controlling the terrain synthesis.