An All-in-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models

Conformal geometric algebra (CGA) is a framework that allows the representation of objects, such as points, planes and spheres, deformations, translations, rotations dilations uniform vectors, called multivectors. In this work, we demonstrate merits multivector usage with novel, integrated rigged character simulation based on CGA. framework, for first time, one may perform real-time cuts tears well drill holes 3D model. These operations can be performed before and/or after model animation, while maintaining deformation topology. Moreover, our permits generation intermediate keyframes on-the-fly user input, apart from frames provided in data. We are motivated to use CGA it lowest-dimension extension dual-quaternion amends shortcomings majority existing animation techniques. Specifically, no longer need maintain objects multiple algebras constantly transmute between them, matrices, quaternions dual-quaternions, effortlessly apply dilations. Using an all-in-one better maintenance optimization enables easier interpolation application all native deformations. Furthermore, present these three novel algorithms single which cutting, tearing drilling input model, where output further re-deformed interactive frame rates. close cut,tear enable new suite applications, especially under scope medical VR simulation.