This chapter focuses on the problem of modeling the laser ablation process from a geometrical point of view. The objective is to create a model capable of describing the laser incision depth based on the knowledge of the laser parameters and inputs. The discussion starts with a statement of the problem, which is defined in terms of a supervised regression. Our approach is compared with existing heuristic models for the prediction of ablation depth.Multiple parameters influence the laser ablation process. With regard to the surgical equipment in use today, these are laser power, delivery mode, pulse duration, scanning frequency. To fully understand the effects of these parameters, first we report on controlled experiments where only one parameter at a time is modified and the resulting depth of incision is examined.The incision depth is modeled as a function of the laser exposure time. The inverse model is also extracted, which allows to calculate the exposure time required to reach a given incision depth. This inverse model is used in a feed forward setting, to prove the concept of the automatic incision of soft tissue. In addition, we demonstrate how the model can be used to implement the automatic ablation of entire volumes of tissue, through the superposition of controlled laser incisions. The chapter is concluded by a discussion of the findings for the depth estimation model, whose accuracy is considered from a clinical perspective.