Abstract: The invention is directed to a cutting tool assembly that include multiple diamonds to define multiple cutting tips. A first diamond is positioned in the cutting tool assembly to create a first groove in a microreplication tool and a second diamond is positioned in the cutting tool assembly to create a second groove the microreplication tool, wherein the first and second grooves define integer pitch spacing of a microreplication structure to be created using the microreplication tool. In addition, a third diamond is positioned in the cutting tool assembly between the first and second diamonds to create a land feature in the microreplication tool between the first and second grooves. The invention can improve land feature creation by using a third diamond tip, rather than leaving the land features untooled and defined by the original untooled surface of micro-replication tool.

Abstract: The disclosure is directed to a cutting tool assembly used for creating grooves in a microreplication tool. The cutting tool assembly includes a mounting structure and multiple diamonds aligned in the mounting structure to a tolerance of less than 10 microns. For example, first and second tool shanks having first and second diamond tips can be positioned in the mounting structure such that a cutting location of the first diamond tip is identical to a cutting location of the second diamond tip. However, the second diamond tip may be a defined distance further away from the mounting structure than the first diamond tip, or the second diamond tip may have a different shape than the first diamond tip. In this manner, the first diamond tip may cut a groove into a work piece and the second diamond tip may cut a sub-feature into the groove to create a multi-featured groove.

Abstract: Methods and apparatus for orthodontic treatment planning that involve determining an initial position of an orthodontic structure, determining an altered position, and generating response surface data using a mathematical relationship between the positions. The mathematical relationship may be defined by a number of parameters useful for determining one or more of the stress, strain, force, and moment associated with movement of the orthodontic structure. The mathematical relationship between the initial position and the altered position may be defined using a finite element analysis, empirically determined, or using other computational methodologies such as a finite difference methodology. The mathematical relationship may also be defined using an analytical methodology, such as elasticity and/or plasticity methodologies.