Abstract: A method using a computer for generating a spiral-like tool path for milling a region of a workpiece is disclosed. The method includes the steps of: creating a family of concentric indexed circular arcs at each of two or more separate and distinct selected points within the region; determining parameters of a first set of blends to connect together the circular arcs of adjacent families of the circular arcs having an identical index to form a plurality of isoloops; determining parameters of a second set of blends for blending between adjacent isoloops to form the spiral-like tool path, and generating instructions for controlling the milling cutter in accordance with the generated tool path.

Abstract: A method for generating a tool path for machining a pocket with a milling cutter is disclosed. The tool path includes a first portion, a second portion and a transition portion connecting together the first portion and the second portion. The method includes the steps of: determining a radius of a first arc; determining a radius of a second arc; situating the first arc so as to connect the first portion to the second portion in a tangent continuous manner; situating a third arc so as to be tangent continuous the first arc and intersecting the first arc; and situating a fourth arc, so as to be: (1) tangent continuous with the third arc, (2) tangent to the second arc and (3) tangent continuous with either the first portion or the second portion.

Abstract: A method for generating, by a direct process, a tool path for milling a region of a workpiece by a milling cutter is disclosed. The tool path consists of one or more passes. The method includes the steps of storing a maximum engagement of the milling cutter and defining each one of the one or more passes such that a value of the engagement, when traversing each one of the one or more passes, does not exceed the maximum value of engagement.

Abstract: A method for generating, by a direct process, a tool path for milling a region of a workpiece by a milling cutter is disclosed. The tool path consists of one or more passes. The method includes the steps of storing a maximum engagement of the milling cutter and defining each one of the one or more passes such that a value of the engagement, when traversing each one of the one or more passes, does not exceed the maximum value of engagement.

Abstract: A method for generating, by a direct process, a tool path for milling a region of a workpiece by a milling cutter is disclosed. The tool path consists of one or more passes. The method includes the steps of storing a maximum engagement of the milling cutter and defining each one of the one or more passes such that a value of the engagement, when traversing each one of the one or more passes, does not exceed the maximum value of engagement.

Abstract: A method for generating, by a direct process, a tool path for milling a region of a workpiece by a milling cutter is disclosed. The tool path consists of one or more passes. The method includes the steps of storing a maximum engagement of the milling cutter and defining each one of the one or more passes such that a value of the engagement, when traversing each one of the one or more passes, does not exceed the maximum value of engagement.

Abstract: An automated computer-implemented method for generating commands for controlling a computer numerical control machine to fabricate an object from a workpiece. The method includes the steps of: (1) determining a first set of Z coordinates for machining a first set of Z level planar slices with a first tool; and (2) determining a second set of Z coordinates for machining a second set of Z level planar slices with the first tool. The second set of Z coordinates is partitioned into one or more subsets. Each subset corresponds to a pair of adjacent Z coordinates belonging to the first set of Z coordinates. A distance between the Z coordinates of each subset is a unit fraction of a distance between the Z coordinates of the pair of adjacent Z coordinates which corresponds to each subset.

Abstract: An automated computer-implemented method for generating commands for controlling a computer numerical control machine to fabricate an object from a workpiece. The method includes the steps of: (1) determining a first set of Z coordinates for machining a first set of Z level planar slices with a first tool; and (2) determining a second set of Z coordinates for machining a second set of Z level planar slices with the first tool. The second set of Z coordinates is partitioned into one or more subsets. Each subset corresponds to a pair of adjacent Z coordinates belonging to the first set of Z coordinates. A distance between the Z coordinates of each subset is a unit fraction of a distance between the Z coordinates of the pair of adjacent Z coordinates which corresponds to each subset.