Generalized scanning technique for display of parametrically defined surfaces
IEEE Computer Graphics and Applications
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Scan line display of algebraic surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Cutting cubes—visualizing implicit surfaces by adaptive polygonization
The Visual Computer: International Journal of Computer Graphics
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Point based rendering of non manifold surfaces
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Surface Interrogation Algorithms
IEEE Computer Graphics and Applications
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Methods for surface interrogation
VIS '90 Proceedings of the 1st conference on Visualization '90
Technical Section: Stochastic visualization of intersection curves of implicit surfaces
Computers and Graphics
Point rendering of non-manifold surfaces with features
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
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We present point based rendering techniques that render various types of contours as constant width slabs on surfaces. The techniques requires evaluations of the surface functions and gradients to render shaded images. We use slabs parallel to the principle planes, slabs located along a principal axis and rotated by arbitrary steps, slabs consisting of concentric spheres and slabs of constant Gaussian and mean curvatures. We also use the technique to render curvature maps of surfaces. We illustrate the techniques with a number of parametric and implicit surfaces, and discuss their advantages and disadvantages compared to other rendering techniques.