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

明智的人

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 soli

Bronchial-Tubes

A Taxonomy on Geometric and Topological Models,nite collections of manifold elements of different dimensionalities, with boundary incidence as the most important relation among the elements. Based on this observation a classification scheme is proposed, characterizing a model topologically according to the compositional structure, boundary relat

Cardiac

PANT

cardiac-arrest

Minimizing the Absolute Value Energy Function: An Application to Geometrical Constraint-Solving,.-order constraints (nonlinear optimization problems) are solved by minimizing the 2..order energy function, which brings forth explosive increase of the number of units and connections among them. By using the absolute value energy function, ..-order constraints can be directly represented by the .

AFFIX

Geometric Constraint Propagation with Quantum Labels,e of solutions with uniform geometric characteristics. This approach is suitable for interactive design because it can handle (perhaps temporarily) incomplete specifications and alternative solutions, and performs satisfaction locally and incrementally. The intermediate solutions are kept in the geo

數(shù)量

營(yíng)養(yǎng)

Discrete Surface Models: Constraint-based Generation and Understanding,, which is a symbolic surface representation based on its prominent shape characteristics. The geometric and conceptual level can exchange information using two operators: the abstraction operator and the generation operator..An abstraction mechanism, based on the analysis of the Gaussian curvature,

GROSS

Visualization of Depth Maps,lgorithm. It is shown that these coordinate systems are natural for calculation on depth maps and correspond to a differential geometry approach of the problem. We describe algorithms using these coordinate systems to realize perspective to perspective and parallel to parallel view transformations.

Monotonous

An Analysis of Digitalization Algorithms for Non-linear Curves, the existing rasterization algorithms for non-linear curves, in particular fixed step, forward and adaptive forward differencing, and bisection algorithms are analyzed and ported to perform rasterization onto the hexagonal lattice. A new bisection algorithm, based on the mean value theorem, is prop