Computing offsets of B-spline curves
Computer-Aided Design
Spline approximation of offset curves
Computer Aided Geometric Design
Offset approximation of uniform B-splines
Computer-Aided Design
Rendering cubic curves and surfaces with integer adaptive forward differencing
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Curves and surfaces in geometrical optics
Mathematical methods in computer aided geometric design II
Illumination from curved reflectors
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Fast object-precision shadow generation for area light sources using BSP trees
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
A progressive refinement approach to fast radiosity image generation
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Design of sculptured surfaces using the b-spline representation
Design of sculptured surfaces using the b-spline representation
ACM SIGGRAPH 2007 courses
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We present an efficient method to simulate the propagation of wavefronts and approximate the behavior of light in an environment of freeform surfaces. The proposed method can emulate the behavior of a wavefront emanating from a point or spherical light source, and possibly refracted and/or reflected from a freeform surface. Moreover, it allows one to consider and to render images with extreme illumination conditions such as caustics.The proposed method can be embedded into rendering schemes that are based on scan conversion. Using a direct freedom surface Z buffer renderer, we also demonstrate the use of the wavefront approximation in illumination computation.