Random Exploration of the Procedural Space for Single-View 3D Modeling of Buildings

摘要

In this paper we tackle the problem of 3D modeling for urban environment using a modular, flexible and powerful approach driven from procedural generation. To this end, typologies of architectures are modeled through shape grammars that consist of a set of derivation rules and a set of shape/dictionary elements. Appearance (from statistical point of view with respect to the individual pixel’s properties) of the dictionary elements is then learned using a set of training images. Image classifiers are trained towards recovering image support with respect to the semantics. Then, given a new image and the corresponding footprint, the modeling problem is formulated as a search of the space of shapes, that can be generated on-the-fly by deriving the grammar on the input axiom. Defining an image-based score function for the produced instances using the trained classifiers, the best rules are selected, making sure that we keep exploring the space by allowing some rules to be randomly selected. New rules are then generated by resampling around the selected rules. At the finest level, these rules define the 3D model of the building. Promising results on complex and varying architectural styles demonstrate the potential of the presented method.