Titlebook: Computer Graphics and Mathematics; Bianca Falcidieno,Ivan Herman,Caterina Pienovi Conference proceedings 1992 EUROGRAPHICS The European As

厚颜

隐藏

Does a Trigonometric Curve Cross an Algebraic Surface?,A symbolic method is given to decide whether or not a curve in three dimensional space given parametrically by three trigonometric .polynomials crosses an algebraic surface, given as the zero set of a polynomial in three variables. The technique uses false derivative and local Sturm sequences.

Enteropathic

https://doi.org/10.1007/978-3-642-77586-4Combinatorial Topology; Festkörpermodellierung; Kombinatorische Topologie; Oberflächenmodellierung; Proj

Outmoded

笨拙处理

Integer Approximation to the Intersection of Three Planes with Planar Constraints, constrained within the pyramid specified by three half-spaces of the planes. An .(. log .) algorithm guarantees that the obtained integer point is closest to the apex of the pyramid. An .(log .) algorithm, not yet proven to guarantee the closest point, yields promising results.

alcoholism

,Approximate C1—blending with Triangular Cubic Patches,ntinuous piecewise cubics with arbitrarily small jumps in their first derivatives. Moreover, they form a sequence which converges to a proper C.—surface which is again piecewise cubic and interpolates the given boundary information.

Neuralgia

,A Geometric Approach to Bézier Curves,ion of osculating flats: The osculating 1-flat is simply the tangent line, the osculating 2-flat is the osculating plane, etc. The intersection of osculating flats leads to the so-called .. We discuss the main properties of the polar form and show how polar forms lead to a simple new labeling scheme for Bézier curves and B-splines.

CRACY

Local Parametrization of Space Curves at Singular Points,ional space, which is defined by implicit polynomial equations. The algorithm can be used in space curve tracing near a singular point, as an alternative to symbolic computations based on resolutions of singularities.

逗留

Incidence Relationships: Kernel Concept in Combinatorical Topology, point set topology. Starting from the concept of incidence relationships, we investigate several problems in B-rep solid modelling, namely the mathematical models of solids, the representations of non-manifold solids, and the mathematical expressions for regularized Boolean operations on B-rep solid models.

ADJ

Computer Vision, Descriptive Geometry, and Classical Mechanics,ps, a tool developed by descriptive geometry to investigate distance functions, and to the solution of the eikonal equation. We discuss these connections and their implications on techniques for computing the skeleton.