Fundamentals of interactive computer graphics
Fundamentals of interactive computer graphics
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Topologically reliable display of algebraic curves
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Bounded aspect ration triangulation of smooth solids
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An accurate algorithm for rasterizing algebraic curves
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
A family of tangent continuous cubic algebraic splines
ACM Transactions on Graphics (TOG)
Distance approximations for rasterizing implicit curves
ACM Transactions on Graphics (TOG)
Solving geometric constraints by homotopy
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Wavelet-Based Affine Invariant Representation: A Tool for Recognizing Planar Objects in 3D Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of 2D Object Contours Using the Wavelet Transform Zero-Crossing Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Solving Geometric Constraints By Homotopy
IEEE Transactions on Visualization and Computer Graphics
Computational Methods for Geometric Processing. Applications to Industry
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
Isotopic implicit surface meshing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Technical Section: Point-based rendering of implicit surfaces in R4
Computers and Graphics
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We present a method for tracing a curve that is represented as the contour of a function in Euclidean space of any dimension. The method proceeds locally by following the intersections of the contour with the facets of a triangulation of space. The algorithm does not fail in the presence of high curvature of the contour; it accumulates essentially no round-off error and has a well-defined integer test for detecting a loop. In developing the algorithm, we explore the nature of a particular class of triangulations of Euclidean space, namely, those generated by reflections.