Abstract: Methods of generating one or more abstractions of a three-dimensional (3D) input model by performing volumetric manipulations on one or more volumetric abstractions of the 3D input model. In some embodiments, volumetric manipulations are made to a volumetric shell abstraction of a 3D input model in a successive and iterative manner to generate an abstraction hierarchy composed of a set of volumetric abstractions having differing levels of abstraction based on containing differing amounts of geometric detail from the 3D input model. In one example of geometric manipulation, one or more fitted subvolumes corresponding to geometric detail of the 3D input model are identified based on a current level of abstraction and the 3D input model, and each fitted subvolume is added to or subtracted from the current level of abstraction to generate a next, finer level of abstraction. In some embodiments, the disclosed methods are embodied in suitable software.

Abstract: Methods of generating one or more abstractions of a three-dimensional (3D) input model by performing volumetric manipulations on one or more volumetric abstractions of the 3D input model. In some embodiments, volumetric manipulations are made to a volumetric shell abstraction of a 3D input model in a successive and iterative manner to generate an abstraction hierarchy composed of a set of volumetric abstractions having differing levels of abstraction based on containing differing amounts of geometric detail from the 3D input model. In one example of geometric manipulation, one or more fitted subvolumes corresponding to geometric detail of the 3D input model are identified based on a current level of abstraction and the 3D input model, and each fitted subvolume is added to or subtracted from the current level of abstraction to generate a next, finer level of abstraction. In some embodiments, the disclosed methods are embodied in suitable software.

Abstract: Methods, apparatuses, and systems for sketch-based design, construction, and modification of three-dimensional geometry, including a computer drawing system, comprising a two dimensional input device, a display device, and a processor connected to the input device and the display device. The processor includes memory containing computer readable instructions which, when executed, cause the processor to define a three dimensional shape model, receive from the two dimensional input device an input indicative of a two dimensional hand drawn element, map the two dimensional hand drawn element to a corresponding portion of the three dimensional shape model, and modify the corresponding portion of the three dimensional shape model to resemble the two dimensional hand drawn element.

Abstract: Methods, apparatuses, and systems for sketch-based design, construction, and modification of three-dimensional geometry, including a computer drawing system, comprising a two dimensional input device, a display device, and a processor connected to the input device and the display device. The processor includes memory containing computer readable instructions which, when executed, cause the processors to define a three dimensional shape model, receive from the two dimensional input device an input indicative of a two dimensional hand drawn element, map the two dimensional hand drawn element to a corresponding portion of the three dimensional shape model, and modify the corresponding portion of the three dimensional shape model to resemble the two dimensional hand drawn element.