Implicit surfaces have received renewed attention in recent years, particularly due to advancements in computational capabilities that allow for their representation and visualization in interactive or even real-time modes for simpler shapes. The aim of this thesis is to propose volume modeling techniques for representing complex objects, such as deformed, partially gnawed, or decaying tree trunks; cliffs eroded by the sea; and rocks shaped by wind and wind-borne sand. These modeling algorithms will be coupled with simulations, such as growth and erosion. The work will include the development of primitives and the investigation of various functions to effectively represent these objects. It will also address suitable visualization techniques, including meshing and ray tracing, while leveraging the performance of graphics cards when possible. Finally, the research will explore the integration of implicit surfaces with simulation