A Gradient-Based Implicit Blend

作者：Gourmel Olivier; Barthe Loic^*; Cani Marie Paule; Wyvill Brian; Bernhardt Adrien; Paulin Mathias; Gra**erger Herbert

来源：ACM Transactions on Graphics, 2013, 32(2): 12.

DOI：10.1145/2451236.2451238

• Theory
• Design
• Implicit curves and surfaces
• interactive techniques implicit surfaces
• blending
• constructive solid geometry (CSG)
• geometric modeling
• surface-solid object representations

We introduce a new family of binary composition operators that solves four major problems of constructive implicit modeling: suppressing bulges when two shapes merge, avoiding unwanted blending at a distance, ensuring that the resulting shape keeps the topology of the union, and enabling sharp details to be added without being blown up. The key idea is that field functions should not only be combined based on their values, but also on their gradients. We implement this idea through a family of C-infinity composition operators evaluated on the GPU for efficiency, and illustrate it by applications to constructive modeling and animation.

• 出版日期2013-4
• 单位INRIA