Principles of interactive computer graphics (2nd ed.)
Principles of interactive computer graphics (2nd ed.)
Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Geometric approaches to nonplanar quadric surface intersection curves
ACM Transactions on Graphics (TOG)
Fast image generation of construcitve solid geometry using a cellular array processor
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
A Characterization of Ten Hidden-Surface Algorithms
ACM Computing Surveys (CSUR)
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Improved Computational Methods for Ray Tracing
ACM Transactions on Graphics (TOG)
Automatic finite-element mesh generation from geometric models—A point-based approach
ACM Transactions on Graphics (TOG)
A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces
Communications of the ACM
A scan-line hidden surface removal procedure for constructive solid geometry
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Quisp: a computer processor for the design and display of quadric-surface bodies
Quisp: a computer processor for the design and display of quadric-surface bodies
A surface intersection algorithm based on loop detection
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Using multivariate resultants to find the intersection of three quadric surfaces
ACM Transactions on Graphics (TOG)
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
Using Tangent Balls to Find Plane Sections of Natural Quadrics
IEEE Computer Graphics and Applications
A robust algorithm for finding the real intersections of three quadric surfaces
Computer Aided Geometric Design
A robust algorithm for finding the real intersections of three quadric surfaces
Computer Aided Geometric Design
Communication: On families of quadratic surfaces having fixed intersections with two hyperplanes
Discrete Applied Mathematics
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The author discusses data representations and analytical tools commonly used in solid modelers for three analysis operations: boundary evaluation, image generation, and mechanical property calculation. The methods described are generally applicable to solid models bounded by quadric surfaces (e.g. planes, cylinders, spheres, and cones). Only methods applicable to constructive solid geometry or boundary representation modelers are considered. The author concludes with a review of ongoing research into other analysis operations appropriate for solid modeling representations.