Constructive Representation of Heterogeneous Objects

Technical Report HCIS-2003-06

This paper deals with modeling heterogeneous volumetric objects as point sets with attributes using trivariate B-splines. In contrast to homogeneous volumes with uniform distribution of material and other properties, a heterogeneous volumetric object has a number of variable attributes assigned at each point. An attribute is a mathematical model of an object property of arbitrary nature (materi...

Mathematical morphology for design and manufacturing

 In general geometric models, the design of objects is usually separated from the manufacture  At the present, two general solid modeling representations dominate: B-REP (Boundary representation) and CSG (Constructive Solid Geometry)  They have some drawbacks:  The design of complex objects is usually complicated.  CSG: limited number of primitives for free surfaces design  B-REP: modific...

Constructive Hypervolume Modeling Using Extended Space Mappings

In this paper, we propose a framework for modeling and deforming heterogeneous volumetric objects defined as point sets with attributes. We propose to use constructive hypervolume objects, where the function representation (FRep) is used as the basic model for both object geometry and attributes represented independently using realvalued scalar functions of point coordinates. While FRep directl...

Representation of Adsorption Data for the Case of Energetically Heterogeneous Solid Surfaces Using Artificial Neural Network

Automation of the Volumetric Models Construction

The automation of the function-based (FRep) volumetric modeling task is tackled by introducing template parameterized models and a procedure for recovery of constructive models from segmented point-sets. In order to reuse existing models, we propose to parameterize them and to fit the parameters to different point-sets for optimizing and adapting the shape to different objects of the same class...