Synthetic Carving

a b c d

Pasko A., Savchenko V., Sourin A.,
Synthetic carving using implicit surface primitives,
Computer-Aided Design, Elsevier, vol. 33, No. 5, April 2001, pp. 379-388.
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Several techniques of computer-aided synthetic carving are presented. We describe both procedural methods for relief carvings (Figs. a, d) and patterned lattices (Fig. b), as well as interactive carving (Fig. c). Different techniques of depth data generation for relief carving are described: polygon-to-function conversion (Fig. a), pattern dependent interpolation (Fig. d), and ray-casting. All proposed methods are based on using implicit surfaces or more generally the function representation of geometric objects.